Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond

We review recent developments in the physics of ultracold atomic and molecular gases in optical lattices. Such systems are nearly perfect realisations of various kinds of Hubbard models, and as such may very well serve to mimic condensed matter phenomena. We show how these systems may be employed as quantum simulators to answer some challenging open questions of condensed matter, and even high energy physics. After a short presentation of the models and the methods of treatment of such systems, we discuss in detail, which challenges of condensed matter physics can be addressed with (i) disordered ultracold lattice gases, (ii) frustrated ultracold gases, (iii) spinor lattice gases, (iv) lattice gases in “artificial” magnetic fields, and, last but not least, (v) quantum information processing in lattice gases. For completeness, also some recent progress related to the above topics with trapped cold gases will be discussed. Motto: There are more things in heaven and earth, Horatio, Than are dreamt of in your philosophy 1

[1]  Ab-Initio Quantum Phase Diagrams of Ultracold Atomic Gases in Optical Lattices , 2009 .

[2]  Seth Lloyd,et al.  Quantum Information Processing , 2009, Encyclopedia of Complexity and Systems Science.

[3]  Andrew D Nicholson,et al.  Anderson Localization , 2019, Modern Condensed Matter Physics.

[4]  Analysis of localization phenomena in weakly interacting disordered lattice gases , 2006, cond-mat/0609774.

[5]  H. Katzgraber,et al.  Effective critical behavior of the two-dimensional Ising spin glass with bimodal interactions , 2006, cond-mat/0609377.

[6]  Finite-temperature ordering in a two-dimensional highly frustrated spin model , 2006, cond-mat/0609312.

[7]  K. Schoutens,et al.  Wavefunctions for topological quantum registers , 2006, cond-mat/0606217.

[8]  W. Zurek,et al.  Dynamics of the Bose-Hubbard model: Transition from a Mott insulator to a superfluid , 2006, cond-mat/0601650.

[9]  M. Lewenstein,et al.  Trapped ion chain as a neural network: error resistant quantum computation. , 2005, Physical review letters.

[10]  Martin B. Plenio,et al.  An introduction to entanglement measures , 2005, Quantum Inf. Comput..

[11]  J. M. BoardmanAbstract,et al.  Contemporary Mathematics , 2007 .

[12]  R. Graham,et al.  Mean-field phase diagram of disordered bosons in a lattice at nonzero temperature , 2006 .

[13]  Lu Yu,et al.  Spin-quadrupole ordering of spin-3 2 ultracold fermionic atoms in optical lattices in the one-band Hubbard model , 2006, cond-mat/0608673.

[14]  Congjun Wu HIDDEN SYMMETRY AND QUANTUM PHASES IN SPIN-3/2 COLD ATOMIC SYSTEMS , 2006, cond-mat/0608690.

[15]  J. Schmiedmayer,et al.  Radiofrequency-dressed-state potentials for neutral atoms , 2006, quant-ph/0608228.

[16]  G. Semenoff,et al.  Quantum insulating states of F=2 cold atoms in optical lattices. , 2006, Physical review letters.

[17]  E. Demler,et al.  Classifying novel phases of spinor atoms. , 2006, Physical review letters.

[18]  S. Sarma,et al.  Quantum stripe ordering in optical lattices. , 2006, Physical review letters.

[19]  M. Lewenstein,et al.  Ordered structures in rotating ultracold Bose gases , 2006 .

[20]  T. Müller,et al.  Formation of spatial shell structure in the superfluid to Mott insulator transition. , 2006, Physical review letters.

[21]  C. Tőke,et al.  Understanding the 5/2 fractional quantum Hall effect without the Pfaffian wave function. , 2006, Physical review letters.

[22]  F. Verstraete,et al.  Criticality, the area law, and the computational power of projected entangled pair states. , 2006, Physical review letters.

[23]  Daniel C. Dakin,et al.  Metal-insulator transition revisited for cold atoms in non-Abelian gauge potentials. , 2006, Physical review letters.

[24]  M. Cazalilla,et al.  Interacting Bose gases in quasi-one-dimensional optical lattices , 2006, cond-mat/0605419.

[25]  J. Latorre,et al.  Area law and vacuum reordering in harmonic networks , 2006, quant-ph/0605112.

[26]  Baptiste Battelier,et al.  Berezinskii–Kosterlitz–Thouless crossover in a trapped atomic gas , 2006, Nature.

[27]  E. Hansis,et al.  Preparation of a quantum state with one molecule at each site of an optical lattice , 2006, cond-mat/0605184.

[28]  J. Cirac,et al.  Cooling toolbox for atoms in optical lattices , 2006, cond-mat/0605198.

[29]  P. Zoller,et al.  Repulsively bound atom pairs in an optical lattice , 2006, Nature.

[30]  P. Törmä,et al.  Fermion pairing with spin-density imbalance in an optical lattice , 2006, cond-mat/0605169.

[31]  S. Sarma,et al.  Emergence of artificial photons in an optical lattice. , 2006, Physical review letters.

[32]  N. Regnault,et al.  Composite fermion theory of rapidly rotating two-dimensional bosons , 2006, cond-mat/0605343.

[33]  M. Lewenstein Polar molecules in topological order , 2006 .

[34]  D. Jaksch,et al.  Signatures of the superfluid to Mott-insulator transition in the excitation spectrum of ultracold atoms , 2006, cond-mat/0604625.

[35]  D. Jaksch,et al.  High-field fractional quantum Hall effect in optical lattices. , 2006, Physical review letters.

[36]  W. Hofstetter Ultracold atoms in optical lattices: tunable quantum many-body systems , 2006 .

[37]  H. Stoof,et al.  BEC–BCS crossover in an optical lattice , 2006, cond-mat/0604186.

[38]  C. Ospelkaus,et al.  Localization of bosonic atoms by fermionic impurities in a three-dimensional optical lattice. , 2006, Physical review letters.

[39]  T. Esslinger,et al.  Bose-fermi mixtures in a three-dimensional optical lattice. , 2006, Physical review letters.

[40]  J. Wehr,et al.  Disorder versus the Mermin-Wagner-Hohenberg effect: From classical spin systems to ultracold atomic gases , 2006, cond-mat/0604063.

[41]  Disorder physics in mixtures of fermionic atoms , 2006 .

[42]  D. Nagy,et al.  Self-organization of a laser-driven cold gas in a ring cavity , 2006 .

[43]  J. Cirac,et al.  Ground-state cooling of atoms in optical lattices (11 pages) , 2006, cond-mat/0603859.

[44]  P. Torma,et al.  Pairing in a three-component Fermi gas , 2006, cond-mat/0603498.

[45]  H. Katzgraber,et al.  Simulations of ultracold bosonic atoms in optical lattices with anharmonic traps , 2006, cond-mat/0603319.

[46]  B. Damski,et al.  Mott-insulator phase of the one-dimensional Bose-Hubbard model: A high-order perturbative study , 2006, cond-mat/0603030.

[47]  F. Verstraete,et al.  Ground-state approximation for strongly interacting spin systems in arbitrary spatial dimension. , 2006, Physical review letters.

[48]  N. Pavloff,et al.  Anderson localization of elementary excitations in a one-dimensional Bose-Einstein condensate , 2006, cond-mat/0602622.

[49]  S. Sarma,et al.  Searching for a supersolid in cold-atom optical lattices , 2006, cond-mat/0602319.

[50]  E. Demler,et al.  Vortex-Peierls states in optical lattices. , 2006, Physical review letters.

[51]  H. Katzgraber,et al.  Universality in three-dimensional Ising spin glasses: A Monte Carlo study , 2006, cond-mat/0602212.

[52]  D. Feder,et al.  Validity of the lowest-Landau-level approximation for rotating Bose gases , 2006, cond-mat/0602037.

[53]  J. Cirac,et al.  Quantum manipulation of trapped ions in two dimensional coulomb crystals. , 2006, Physical review letters.

[54]  Congjun Wu,et al.  Atomic matter of nonzero-momentum Bose-Einstein condensation and orbital current order , 2006, cond-mat/0601432.

[55]  M. Oberthaler,et al.  Noise thermometry with two weakly coupled Bose-Einstein condensates. , 2006, Physical review letters.

[56]  M. Lukin,et al.  Quantum magnetism with multicomponent dipolar molecules in an optical lattice. , 2006, Physical review letters.

[57]  D. Jaksch,et al.  Simulating high-temperature superconductivity model Hamiltonians with atoms in optical lattices , 2006, quant-ph/0601083.

[58]  C. F. Roos,et al.  Generalized spin-squeezing inequalities in N-qubit systems: Theory and experiment , 2006, quant-ph/0601038.

[59]  P. Zoller,et al.  A toolbox for lattice-spin models with polar molecules , 2005, quant-ph/0512222.

[60]  P. Törmä,et al.  Strongly interacting Fermi gases with density imbalance. , 2005, Physical review letters.

[61]  J. Danzl,et al.  Evidence for Efimov quantum states in an ultracold gas of caesium atoms , 2005, Nature.

[62]  F. Verstraete,et al.  Quantum phase transitions in matrix product systems. , 2005, Physical review letters.

[63]  J. Kinnunen,et al.  Sound velocity and dimensional crossover in a superfluid Fermi gas in an optical lattice , 2005, cond-mat/0512010.

[64]  R. Hulet,et al.  Pairing and Phase Separation in a Polarized Fermi Gas , 2005, Science.

[65]  T. Ho,et al.  52Cr spinor condensate: a biaxial or uniaxial spin nematic. , 2005, Physical review letters.

[66]  J. Ruseckas,et al.  Light-induced effective magnetic fields for ultracold atoms in planar geometries , 2005, quant-ph/0511226.

[67]  A. Walczak,et al.  Exotic quantum phases and phase transitions in correlated matter , 2005, cond-mat/0511516.

[68]  A. Schirotzek,et al.  Fermionic Superfluidity with Imbalanced Spin Populations , 2005, Science.

[69]  Y. Ohashi,et al.  Itinerant-localized dual character of a strongly-correlated superfluid Bose gas in an optical lattice , 2005, cond-mat/0510725.

[70]  L. Santos,et al.  Spin-3 chromium Bose-Einstein condensates. , 2005, Physical review letters.

[71]  D. Controzzi,et al.  Exactly solvable model for isospin S=3/2 fermionic atoms on an optical lattice. , 2005, Physical review letters.

[72]  Thomas G. Walker,et al.  Fast ground state manipulation of neutral atoms in microscopic optical traps. , 2005, Physical review letters.

[73]  T. Esslinger,et al.  Molecules of fermionic atoms in an optical lattice. , 2005, Physical review letters.

[74]  Y. Castin,et al.  Exact BCS stochastic schemes for a time-dependent many-body fermionic system , 2005, cond-mat/0509144.

[75]  L. Carr,et al.  Bose-Einstein condensates in rotating lattices. , 2005, Physical review letters.

[76]  M. Lewenstein,et al.  Splitting and merging an elongated Bose-Einstein condensate at finite temperature , 2005, cond-mat/0508106.

[77]  Gustavo Rigolin,et al.  Genuine Multipartite Entanglement in Quantum Phase Transitions , 2005, quant-ph/0507253.

[78]  S. Bose,et al.  Distributed quantum computation via optical fibers. , 2005, Physical review letters.

[79]  T. Calarco,et al.  Pseudopotential method for higher partial wave scattering. , 2005, Physical review letters.

[80]  V. Vedral,et al.  Natural three-qubit interactions in one-way quantum computing (5 pages) , 2005, quant-ph/0507173.

[81]  H. Briegel,et al.  Quantum-information processing in disordered and complex quantum systems , 2005, quant-ph/0507172.

[82]  T. Ho,et al.  Fermions in optical lattices swept across Feshbach resonances. , 2005, Physical review letters.

[83]  Jiangfeng Du,et al.  Efficient construction of two-dimensional cluster states with probabilistic quantum gates , 2005, quant-ph/0507066.

[84]  Alexei Kitaev,et al.  Anyons in an exactly solved model and beyond , 2005, cond-mat/0506438.

[85]  S. Sarma,et al.  Cold-atom optical lattices as quantum analog simulators for aperiodic one-dimensional localization without disorder , 2005, cond-mat/0506415.

[86]  Eugene Demler,et al.  Exactly solvable case of a one-dimensional Bose–Fermi mixture , 2005, cond-mat/0505632.

[87]  J. Eisert,et al.  Entanglement-area law for general bosonic harmonic lattice systems (14 pages) , 2005, quant-ph/0505092.

[88]  F. Verstraete,et al.  Matrix product states represent ground states faithfully , 2005, cond-mat/0505140.

[89]  F. Verstraete,et al.  Renormalization algorithm for the calculation of spectra of interacting quantum systems , 2005, cond-mat/0504717.

[90]  Dimitri Gioev,et al.  Entanglement entropy of fermions in any dimension and the Widom conjecture. , 2005, Physical review letters.

[91]  H. Briegel,et al.  Fast simulation of stabilizer circuits using a graph-state representation , 2005, quant-ph/0504117.

[92]  M. Nielsen Cluster-state quantum computation , 2005, quant-ph/0504097.

[93]  W. Hofstetter Flavor Degeneracy and Effects of Disorder in Ultracold Atom Systems , 2005, cond-mat/0504113.

[94]  M. Wolf Violation of the entropic area law for fermions. , 2005, Physical review letters.

[95]  D. Leung,et al.  Simple proof of fault tolerance in the graph-state model (6 pages) , 2005, quant-ph/0503130.

[96]  J. Pachos,et al.  Graph-state preparation and quantum computation with global addressing of optical lattices , 2005, quant-ph/0501166.

[97]  P. Drummond,et al.  First-principles quantum dynamics in interacting Bose gases II: stochastic gauges , 2005, cond-mat/0501058.

[98]  J. Corney,et al.  Gaussian phase-space representations for fermions , 2004, cond-mat/0411712.

[99]  T. Nikuni,et al.  Laser probing of the single-particle energy gap of a Bose gas in an optical lattice in the mott-insulator phase , 2004, cond-mat/0407229.

[100]  H. Diep Frustrated Spin Systems , 2020 .

[101]  M. Scheffler,et al.  Extremely slow Drude relaxation of correlated electrons , 2005, Nature.

[102]  O. Gühne,et al.  03 21 7 2 3 M ar 2 00 6 Scalable multi-particle entanglement of trapped ions , 2006 .

[103]  J. Ruseckas,et al.  Effective magnetic fields induced by EIT in ultra-cold atomic gases , 2005, quant-ph/0511087.

[104]  J. Ruseckas,et al.  Filled Landau levels in neutral quantum gases , 2005, cond-mat/0509766.

[105]  J. Cirac,et al.  05 09 19 7 v 1 2 8 Se p 20 05 Effective Spin Quantum Phases in Systems of Trapped Ions , 2022 .

[106]  R. Scalettar,et al.  Phase coherence, visibility, and the superfluid-Mott-insulator transition on one-dimensional optical lattices. , 2005, Physical review letters.

[107]  S. Manmana,et al.  Diagonalization‐ and Numerical Renormalization‐Group‐Based Methods for Interacting Quantum Systems , 2005, cond-mat/0510321.

[108]  K. Richter,et al.  Nonlinear transport of Bose-Einstein condensates through waveguides with disorder , 2005, cond-mat/0509446.

[109]  H. Ritsch,et al.  Cold atom dynamics in a quantum optical lattice potential. , 2005, Physical review letters.

[110]  F. Verstraete,et al.  Mapping local Hamiltonians of fermions to local Hamiltonians of spins , 2005, cond-mat/0508353.

[111]  L. Santos,et al.  Observation of dipole-dipole interaction in a degenerate quantum gas. , 2005, Physical review letters.

[112]  T. Suzuki,et al.  Observation of a two-proton halo in 17Ne , 2005 .

[113]  Ujjwal Sen,et al.  The separability versus entanglement problem , 2005, 1701.02187.

[114]  M. Lewenstein,et al.  Disordered ultracold atomic gases in optical lattices: A case study of Fermi-Bose mixtures , 2005, cond-mat/0508042.

[115]  A. Georges,et al.  Interaction-induced adiabatic cooling and antiferromagnetism of cold fermions in optical lattices. , 2005, Physical review letters.

[116]  J. Bouchaud,et al.  Disorder chaos in spin glasses , 2005, cond-mat/0507555.

[117]  M. Lewenstein,et al.  Routes towards Anderson-like localization of Bose-Einstein condensates in disordered optical lattices. , 2005, Physical review letters.

[118]  H. Frahm,et al.  Correlation functions of one-dimensional Bose-Fermi mixtures , 2005, cond-mat/0507368.

[119]  A. Zeilinger,et al.  Experimental violation of a cluster state bell inequality. , 2005, Physical review letters.

[120]  H. Katzgraber,et al.  Probing the Almeida-Thouless line away from the mean-field model , 2005, cond-mat/0507138.

[121]  D. Wiersma,et al.  Effect of optical disorder and single defects on the expansion of a Bose-Einstein condensate in a one-dimensional waveguide. , 2005, Physical review letters.

[122]  N. Read,et al.  Incompressible liquid state of rapidly rotating bosons at filling factor 3/2. , 2005, Physical review letters.

[123]  M. Tosi,et al.  Realization of fully frustrated Josephson-junction arrays with cold atoms. , 2005, Physical review letters.

[124]  J. Eisert,et al.  Single-copy entanglement in critical quantum spin chains (5 pages) , 2005, quant-ph/0506250.

[125]  Suppression of transport of an interacting elongated Bose-Einstein condensate in a random potential. , 2005, Physical review letters.

[126]  M. Lewenstein,et al.  Quantum gases in trimerized kagomé lattices , 2005, cond-mat/0506580.

[127]  J. Schmiedmayer,et al.  Ultracold atoms in optical lattices with random on-site interactions. , 2005, Physical review letters.

[128]  H. Johannesson,et al.  Entanglement scaling in the one-dimensional Hubbard model at criticality. , 2005, Physical review letters.

[129]  C. Miniatura,et al.  Localization of matter waves in two-dimensional disordered optical potentials. , 2005, Physical review letters.

[130]  R. Fazio,et al.  Phase diagram of spin-1 bosons on one-dimensional lattices. , 2005, Physical review letters.

[131]  J. Corney,et al.  Quantum phase-space simulations of fermions and bosons , 2005, Comput. Phys. Commun..

[132]  Heinz J. Rothe,et al.  Lattice Gauge Theories: AN Introduction (fourth Edition) , 2005 .

[133]  N. Pavloff,et al.  Propagation of a dark soliton in a disordered Bose-Einstein condensate. , 2005, Physical review letters.

[134]  Baptiste Battelier,et al.  Bose-Einstein condensates in fast rotation , 2005, cond-mat/0603792.

[135]  S. Simon,et al.  Vortex lattices in rotating atomic bose gases with dipolar interactions. , 2005, Physical review letters.

[136]  F. Zhou Mott states under the influence of fermion-boson conversion , 2005, cond-mat/0505740.

[137]  A. Schirotzek,et al.  Vortices and superfluidity in a strongly interacting Fermi gas , 2005, Nature.

[138]  P. Lecheminant,et al.  Confinement and superfluidity in one-dimensional degenerate fermionic cold atoms. , 2005, Physical review letters.

[139]  O. Mandel,et al.  Coherent collisional spin dynamics in optical lattices. , 2005, Physical review letters.

[140]  Immanuel Bloch,et al.  Exploring quantum matter with ultracold atoms in optical lattices , 2005 .

[141]  R. Hulet,et al.  Molecular probe of pairing in the BEC-BCS crossover. , 2005, Physical review letters.

[142]  F. Verstraete,et al.  Exploiting quantum parallelism to simulate quantum random many-body systems. , 2005, Physical review letters.

[143]  M. Plenio Logarithmic negativity: a full entanglement monotone that is not convex. , 2005, Physical review letters.

[144]  G. Rempe,et al.  Continuous loading of an electrostatic trap for polar molecules. , 2005, Physical review letters.

[145]  M. Lewenstein,et al.  Dynamical phase transitions and temperature-induced quantum correlations in an infinite spin chain , 2005, quant-ph/0505006.

[146]  M. Scheffler,et al.  Crossover from Coulomb glass to Fermi glass in Si:P , 2005 .

[147]  C. Ates,et al.  Quantum phases in mixtures of fermionic atoms , 2005, cond-mat/0504491.

[148]  U. Schollwöck,et al.  Spin-charge separation in cold fermi gases: a real time analysis. , 2005, Physical review letters.

[149]  Min-Fong Yang,et al.  Reexamination of entanglement and the quantum phase transition , 2005 .

[150]  M. Raizen,et al.  Bose Einstein Condensate in a Box , 2005, cond-mat/0503590.

[151]  Ashish V. Thapliyal,et al.  Perfect pattern formation of neutral atoms in an addressable optical lattice , 2005 .

[152]  O. Mandel,et al.  Phase coherence of an atomic Mott insulator. , 2005, Physical review letters.

[153]  R. Scalettar,et al.  Dynamic response of trapped ultracold bosons on optical lattices , 2005, cond-mat/0503371.

[154]  P. Zoller,et al.  Atomic quantum simulator for lattice gauge theories and ring exchange models. , 2005, Physical review letters.

[155]  J. Ruseckas,et al.  Non-Abelian gauge potentials for ultracold atoms with degenerate dark states. , 2005, Physical review letters.

[156]  A. Griesmaier,et al.  Bose-Einstein condensation of chromium. , 2005, Physical review letters.

[157]  P. Zoller,et al.  Fault-tolerant dissipative preparation of atomic quantum registers with fermions (11 pages) , 2005, quant-ph/0502171.

[158]  Chaohong Lee,et al.  Quantum computation with diatomic bits in optical lattices (5 pages) , 2005, quant-ph/0502154.

[159]  L. Sanchez-Palencia,et al.  Bose-Einstein condensates in optical quasicrystal lattices , 2005, cond-mat/0502529.

[160]  F. Traversa,et al.  Two-point versus multipartite entanglement in quantum phase transitions. , 2005, Physical review letters.

[161]  D. Stamper-Kurn,et al.  Direct nondestructive imaging of magnetization in a spin-1 Bose-Einstein gas. , 2005, Physical review letters.

[162]  R. Raussendorf,et al.  Efficient quantum computation with probabilistic quantum gates. , 2005, Physical review letters.

[163]  V. Vedral,et al.  Quantum-information processing with noisy cluster states , 2005, quant-ph/0502081.

[164]  W. Hofstetter,et al.  Mott–Hubbard and Anderson transitions in dynamical mean-field theory , 2005, cond-mat/0502257.

[165]  W. Hofstetter,et al.  Mott-Hubbard transition versus Anderson localization in correlated electron systems with disorder. , 2005, Physical review letters.

[166]  M. Lewenstein,et al.  Cold atoms in non-Abelian gauge potentials: from the Hofstadter "moth" to lattice gauge theory. , 2005, Physical review letters.

[167]  P. Zoller,et al.  Atomic quantum dots coupled to a reservoir of a superfluid Bose-Einstein condensate. , 2005, Physical review letters.

[168]  A. Osterloh,et al.  Quantum many particle systems in ring-shaped optical lattices. , 2005, Physical review letters.

[169]  D. Cory,et al.  Multispin dynamics of the solid-state NMR free induction decay , 2005, cond-mat/0501578.

[170]  L. Carr,et al.  Quantum phase transitions in the Fermi–Bose Hubbard model , 2005, cond-mat/0501156.

[171]  L. Cederbaum,et al.  Zoo of quantum phases and excitations of cold bosonic atoms in optical lattices. , 2004, Physical review letters.

[172]  Y. Castin,et al.  Matter-wave localization in disordered cold atom lattices. , 2004, Physical review letters.

[173]  S. Haas,et al.  Entanglement and factorized ground states in two-dimensional quantum antiferromagnets. , 2004, Physical review letters.

[174]  N. Dupuis,et al.  Mott-insulator–to–superfluid transition in the Bose-Hubbard model: A strong-coupling approach , 2004, cond-mat/0412204.

[175]  D. Wiersma,et al.  Bose-Einstein condensate in a random potential. , 2004, Physical review letters.

[176]  M. Lewenstein,et al.  Atomic Fermi gas in the trimerized kagomé lattice at 2/3 filling. , 2004, Physical review letters.

[177]  J. Ruseckas,et al.  Effective magnetic fields in degenerate atomic gases induced by light beams with orbital angular momenta , 2004, cond-mat/0412015.

[178]  B. Moor,et al.  Local unitary versus local Clifford equivalence of stabilizer states , 2004, quant-ph/0411115.

[179]  N. Datta,et al.  Perfect Transfer of Arbitrary States in Quantum Spin Networks , 2004, quant-ph/0411020.

[180]  W. Hänsel,et al.  Transporting, splitting and merging of atomic ensembles in a chip trap , 2004, quant-ph/0411012.

[181]  M. Stoll,et al.  Production of three-body Efimov molecules in an optical lattice , 2004, cond-mat/0410765.

[182]  P. Zoller,et al.  The cold atom Hubbard toolbox , 2004, cond-mat/0410614.

[183]  B. Moor,et al.  Finite set of invariants to characterize local Clifford equivalence of stabilizer states , 2004, quant-ph/0410165.

[184]  D. Loss,et al.  Cluster states from Heisenberg interactions , 2004, quant-ph/0410145.

[185]  A. Honecker,et al.  The ALPS Project: Open Source Software for Strongly Correlated Systems , 2004, cond-mat/0410407.

[186]  T. Esslinger,et al.  Fermionic atoms in a three dimensional optical lattice: observing Fermi surfaces, dynamics, and interactions. , 2004, Physical review letters.

[187]  J. Latorre,et al.  Entanglement entropy in the Lipkin-Meshkov-Glick model (4 pages) , 2004, cond-mat/0409611.

[188]  R. Grimm,et al.  Inducing an optical Feshbach resonance via stimulated Raman coupling , 2004, cond-mat/0409552.

[189]  U. Schollwoeck The density-matrix renormalization group , 2004, cond-mat/0409292.

[190]  K. Levin,et al.  Heat Capacity of a Strongly Interacting Fermi Gas , 2004, Science.

[191]  Congjun Wu Competing orders in one-dimensional spin-3/2 fermionic systems. , 2004, Physical review letters.

[192]  B. Moor,et al.  Stabilizer states and Clifford operations for systems of arbitrary dimensions and modular arithmetic , 2004, quant-ph/0408190.

[193]  R. Graham,et al.  Exact results for one-dimensional disordered bosons with strong repulsion. , 2004, Physical review letters.

[194]  S. Kurihara,et al.  Possibility of a first-order superfluid-Mott-insulator transition of spinor bosons in an optical lattice. , 2004, Physical review letters.

[195]  Dana Z. Anderson,et al.  An Atom Michelson Interferometer on a Chip Using a Bose-Einstein Condensate , 2004, cond-mat/0407689.

[196]  D. Mailly,et al.  Atom chips in the real world: the effects of wire corrugation , 2004, physics/0407094.

[197]  P. Engels,et al.  Observations on sound propagation in rapidly rotating Bose-Einstein condensates. , 2004, Physical review letters.

[198]  H. Briegel,et al.  Entanglement in spin chains and lattices with long-range Ising-type interactions. , 2004, Physical review letters.

[199]  D. Jaksch,et al.  Efficient generation of graph states for quantum computation , 2004, quant-ph/0406150.

[200]  J. Zakrzewski Mean-field dynamics of the superfluid-insulator phase transition in a gas of ultracold atoms , 2004, cond-mat/0406186.

[201]  P. Goldbart,et al.  Global entanglement and quantum criticality in spin chains , 2004, quant-ph/0405162.

[202]  J. Eisert,et al.  Entropy, entanglement, and area: analytical results for harmonic lattice systems. , 2004, Physical review letters.

[203]  M. Nielsen,et al.  Fault-tolerant quantum computation with cluster states , 2004, quant-ph/0405134.

[204]  H. Briegel,et al.  Multiparticle entanglement purification for two-colorable graph states , 2004, quant-ph/0405045.

[205]  M. Lukin,et al.  Fractional quantum Hall states of atoms in optical lattices. , 2004, Physical review letters.

[206]  Andrew M. Childs,et al.  Unified derivations of measurement-based schemes for quantum computation , 2004, Physical Review A.

[207]  M. Lewenstein,et al.  Fractional quantum Hall states in ultracold rapidly rotating dipolar fermi gases. , 2004, Physical review letters.

[208]  L. Ioffe,et al.  Protected qubits and Chern-Simons theories in Josephson junction arrays , 2004, cond-mat/0403712.

[209]  M. Troyer,et al.  Generalized directed loop method for quantum Monte Carlo simulations. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[210]  J. Cirac,et al.  Fermionic atoms in optical superlattices , 2003, cond-mat/0306497.

[211]  S. Massar,et al.  Quantum information processing and communication Strategic report on current status , visions and goals for research in Europe , 2005 .

[212]  P. Drummond,et al.  First-principles quantum dynamics in interacting bose gases: I. The positive P representation , 2004, cond-mat/0412174.

[213]  D Porras,et al.  Density matrix renormalization group and periodic boundary conditions: a quantum information perspective. , 2004, Physical review letters.

[214]  R. Krems,et al.  Editorial: Quo vadis, cold molecules? , 2004 .

[215]  A. Auerbach,et al.  Low-energy singlets in the Heisenberg antiferromagnet on the kagomé lattice. , 2004, Physical review letters.

[216]  U. Landman,et al.  Crystalline boson phases in harmonic traps: beyond the Gross-Pitaevskii mean field. , 2004, Physical review letters.

[217]  N. Nagaosa,et al.  Doping a Mott insulator: Physics of high-temperature superconductivity , 2004, cond-mat/0410445.

[218]  C. Gardiner,et al.  Quantum Noise: A Handbook of Markovian and Non-Markovian Quantum Stochastic Methods with Applications to Quantum Optics , 2004 .

[219]  I Coddington,et al.  Vortex-lattice dynamics in rotating spinor Bose-Einstein condensates. , 2004, Physical review letters.

[220]  Wenxian Zhang,et al.  Bose-einstein condensation of trapped interacting spin-1 atoms , 2004, cond-mat/0409680.

[221]  V. Korepin,et al.  Entanglement in the XY spin chain , 2004, quant-ph/0409027.

[222]  S. Dusuel,et al.  Finite-size scaling exponents of the Lipkin-Meshkov-Glick model. , 2004, Physical review letters.

[223]  Toshiya Kinoshita,et al.  Observation of a One-Dimensional Tonks-Girardeau Gas , 2004, Science.

[224]  T. Esslinger,et al.  Excitations of a superfluid in a three-dimensional optical lattice. , 2004, Physical review letters.

[225]  Immanuel Bloch,et al.  State selective production of molecules in optical lattices. , 2004, Physical review letters.

[226]  X. Wen Quantum Field Theory of Many-body Systems: From the Origin of Sound to an Origin of Light and Electrons , 2004 .

[227]  M. Asano,et al.  Logical operations realized on the Ising chain of N qubits , 2004 .

[228]  D. Bruß,et al.  A two-way algorithm for the entanglement problem , 2004, quant-ph/0407179.

[229]  M. Lewenstein,et al.  Nonergodicity of entanglement and its complementary behavior to magnetization in an infinite spin chain , 2004, quant-ph/0407114.

[230]  R. Roth,et al.  Dynamic structure factor of ultracold Bose and Fermi gases in optical lattices , 2004, cond-mat/0407361.

[231]  Daniel A. Lidar,et al.  Quantum phase transitions and bipartite entanglement. , 2004, Physical review letters.

[232]  H. Katzgraber,et al.  Absence of an Almeida-Thouless line in three-dimensional spin glasses. , 2004, Physical review letters.

[233]  K. Rzążewski,et al.  Classical-field approximation for cold weakly interacting bosons without free parameters , 2004, cond-mat/0406630.

[234]  V. Roychowdhury,et al.  Entanglement in a valence-bond solid state. , 2004, Physical review letters.

[235]  Takuya Hirano,et al.  Magnetic field dependence of the dynamics of ^8^7Rb spin-2 Bose-Einstein condensates (6 pages) , 2004 .

[236]  S. Jochim,et al.  Observation of the Pairing Gap in a Strongly Interacting Fermi Gas , 2004, Science.

[237]  M. Hastings,et al.  Locality in quantum and Markov dynamics on lattices and networks. , 2004, Physical review letters.

[238]  Immanuel Bloch,et al.  Tonks–Girardeau gas of ultracold atoms in an optical lattice , 2004, Nature.

[239]  J. Cirac,et al.  Adiabatic path to fractional quantum Hall states of a few bosonic atoms (6 pages) , 2004, cond-mat/0405195.

[240]  S. Rolston,et al.  Observation of reduced three-body recombination in a correlated 1D degenerate Bose gas. , 2004, Physical review letters.

[241]  B. Moor,et al.  Efficient algorithm to recognize the local Clifford equivalence of graph states , 2004, quant-ph/0405023.

[242]  J. Cirac,et al.  Ensemble quantum computation with atoms in periodic potentials. , 2004, Physical review letters.

[243]  A. Derevianko,et al.  Quantum computing with magnetically interacting atoms , 2004, quant-ph/0406117.

[244]  C. Schroll,et al.  Perturbative corrections to the Gutzwiller mean-field solution of the Mott-Hubbard model , 2004, cond-mat/0404576.

[245]  J. Cirac,et al.  Implementation of spin Hamiltonians in optical lattices. , 2004, Physical review letters.

[246]  M. Troyer,et al.  Quantum monte carlo simulations of confined bosonic atoms in optical lattices , 2004, cond-mat/0404552.

[247]  M. Hellwig,et al.  Tuning the scattering length with an optically induced Feshbach resonance. , 2004, Physical review letters.

[248]  B. Moor,et al.  Local invariants of stabilizer codes , 2004, quant-ph/0404106.

[249]  F. Wilczek,et al.  Spin-dependent Hubbard model and a quantum phase transition in cold atoms , 2004, cond-mat/0404478.

[250]  S. Haas,et al.  Studying quantum spin systems through entanglement estimators. , 2004, Physical review letters.

[251]  D. Leung,et al.  Computation by measurements: A unifying picture , 2004, quant-ph/0404082.

[252]  J. Corney,et al.  Gaussian quantum Monte Carlo methods for fermions and bosons. , 2004, Physical review letters.

[253]  E. Rico,et al.  Effective three-body interactions in triangular optical lattices (10 pages) , 2004, quant-ph/0404048.

[254]  N. Regnault,et al.  Quantum Hall fractions in ultracold fermionic vapors , 2004, cond-mat/0404093.

[255]  I. Carusotto,et al.  Coherence and correlation properties of a one-dimensional attractive Fermi gas , 2004, physics/0404025.

[256]  D. Gangardt Universal correlations of trapped one-dimensional impenetrable bosons , 2004, cond-mat/0404104.

[257]  M. Modugno,et al.  Observation of dynamical instability for a Bose-Einstein condensate in a moving 1D optical lattice. , 2004, Physical review letters.

[258]  I. Bloch Quantum gases in optical lattices , 2004 .

[259]  S. Jochim,et al.  Collective excitations of a degenerate gas at the BEC-BCS crossover. , 2004, Physical review letters.

[260]  P. Zoller,et al.  Quantum computations with atoms in optical lattices: marker qubits and molecular interactions , 2004, quant-ph/0403197.

[261]  M. Horodecki,et al.  Dual entanglement measures based on no local cloning and no local deleting (12 pages) , 2004, quant-ph/0403169.

[262]  M. Gehm,et al.  Evidence for superfluidity in a resonantly interacting Fermi gas. , 2004, Physical review letters.

[263]  F. Guinea,et al.  Entanglement at the boundary of spin chains near a quantum critical point and in systems with boundary critical points , 2004, quant-ph/0403135.

[264]  E. Lieb,et al.  Bose-Einstein quantum phase transition in an optical lattice model , 2004, cond-mat/0403240.

[265]  Jing Zhang,et al.  Experimental study of the BEC-BCS crossover region in lithium 6. , 2004, Physical review letters.

[266]  E. Mueller Artificial electromagnetism for neutral atoms: Escher staircase and Laughlin liquids , 2004, cond-mat/0404306.

[267]  J. Ignacio Cirac,et al.  New frontiers in quantum information with atoms and ions , 2004 .

[268]  W. Ketterle,et al.  Condensation of pairs of fermionic atoms near a Feshbach resonance. , 2004, Physical review letters.

[269]  M. Lewenstein,et al.  Atomic fermi-bose mixtures in inhomogeneous and random lattices: from fermi glass to quantum spin glass and quantum percolation. , 2004, Physical review letters.

[270]  G. Juzeliūnas,et al.  Slow light in degenerate fermi gases. , 2004, Physical review letters.

[271]  K. Honda,et al.  BOSE-EINSTEIN CONDENSATION OF YTTERBIUM ATOMS , 2004 .

[272]  K. Sengstock,et al.  Bose-Einstein condensation at constant temperature , 2004, cond-mat/0402003.

[273]  M. Greiner,et al.  Observation of resonance condensation of fermionic atom pairs. , 2004, Physical review letters.

[274]  J. Cirac,et al.  Atomic quantum gases in Kagomé lattices. , 2004, Physical review letters.

[275]  R. Orús,et al.  Quantum phase transitions in antiferromagnetic planar cubic lattices , 2004, quant-ph/0401144.

[276]  J. Cirac,et al.  Effective quantum spin systems with trapped ions. , 2004, Physical review letters.

[277]  M. Lewenstein,et al.  Quantum phases of Bose-Fermi mixtures in optical lattices. , 2004, Optics express.

[278]  Columbus,et al.  One- and Two-Dimensional Optical Lattices on a Chip for Quantum Computing , 2004, physics/0401041.

[279]  F. C. Alcaraz,et al.  Entanglement and Quantum Phases in the Anisotropic Ferromagnetic Heisenberg Chain in the Presence of Domain Walls , 2003, quant-ph/0312039.

[280]  K. Rzążewski,et al.  Temperature-dependent Bogoliubov approximation in the classical field approach to weakly interacting Bose gases , 2003, cond-mat/0311622.

[281]  J. Eisert,et al.  Towards quantum entanglement in nanoelectromechanical devices. , 2003, Physical review letters.

[282]  K. Sengupta,et al.  Quench dynamics across quantum critical points , 2003, cond-mat/0311355.

[283]  F. Verstraete,et al.  Diverging entanglement length in gapped quantum spin systems. , 2003, Physical review letters.

[284]  M. Fisher,et al.  Deconfined Quantum Critical Points , 2003, Science.

[285]  M. Inguscio,et al.  Collisionally induced transport in periodic potentials. , 2003, Physical review letters.

[286]  F. Illuminati,et al.  High-temperature atomic superfluidity in lattice Bose-Fermi mixtures. , 2003, Physical review letters.

[287]  J. Latorre,et al.  Universality of entanglement and quantum-computation complexity , 2003, quant-ph/0311017.

[288]  V. Korepin Universality of entropy scaling in one dimensional gapless models. , 2003, Physical review letters.

[289]  J. Eisert,et al.  Inhomogeneous atomic Bose-Fermi mixtures in cubic lattices. , 2003, Physical review letters.

[290]  R. Roth,et al.  Quantum phases of atomic boson-fermion mixtures in optical lattices , 2003, cond-mat/0310114.

[291]  Hai-Qing Lin,et al.  Entanglement and quantum phase transition in the extended Hubbard model. , 2003, Physical review letters.

[292]  W. Hofstetter,et al.  Ultracold fermions and the SU(N) Hubbard model. , 2003, Physical review letters.

[293]  M D Barrett,et al.  Observation of spinor dynamics in optically trapped 87Rb Bose-Einstein condensates. , 2003, Physical review letters.

[294]  J. Cirac,et al.  Adiabatic time evolution in spin systems , 2003, quant-ph/0309026.

[295]  C. Emary,et al.  Entanglement and the phase transition in single-mode superradiance. , 2003, Physical review letters.

[296]  I Coddington,et al.  Rapidly rotating Bose-Einstein condensates in and near the lowest Landau level. , 2003, Physical review letters.

[297]  J J Arlt,et al.  Dynamics of F=2 spinor Bose-Einstein condensates. , 2003, Physical review letters.

[298]  Canonical Bose gas simulations with stochastic gauges. , 2003, Physical review letters.

[299]  M. Lewenstein,et al.  Mean-field theory of Bose–Fermi mixtures in optical lattices , 2003, cond-mat/0307635.

[300]  J. Eisert,et al.  Multiparty entanglement in graph states , 2003, quant-ph/0307130.

[301]  M. Lukin,et al.  Disordered Bose-Einstein condensates in quasi-one-dimensional magnetic microtraps. , 2003, Physical review letters.

[302]  M. Cazalilla Bosonizing one-dimensional cold atomic gases , 2003, cond-mat/0307033.

[303]  F. Verstraete,et al.  Entanglement versus correlations in spin systems. , 2003, Physical review letters.

[304]  J. Cirac,et al.  Gaussian entanglement of formation , 2003, quant-ph/0306177.

[305]  M. Lewenstein,et al.  Atomic Bose-Fermi mixtures in an optical lattice. , 2003, Physical review letters.

[306]  J. Vidal,et al.  Entanglement in a second-order quantum phase transition (4 pages) , 2003, cond-mat/0305573.

[307]  M. Fisher,et al.  Pyrochlore photons: The U ( 1 ) spin liquid in a S = 1 2 three-dimensional frustrated magnet , 2003, cond-mat/0305401.

[308]  G. Vidal,et al.  Ground state entanglement in quantum spin chains , 2003, Quantum Inf. Comput..

[309]  J. Schmiedmayer,et al.  Microtraps and Atom Chips: Toolboxes for Cold Atom Physics , 2003, cond-mat/0302059.

[310]  B. Svistunov,et al.  Superfluid-insulator transition in commensurate disordered bosonic systems: large-scale worm algorithm simulations. , 2003, Physical review letters.

[311]  Shou-Cheng Zhang,et al.  Vortex configurations of bosons in an optical lattice (5 pages) , 2002, cond-mat/0211457.

[312]  Thierry Giamarchi,et al.  Quantum physics in one dimension , 2004 .

[313]  R. Krems,et al.  Topical issue on Ultracold polar molecules: Formation and collisions , 2004 .

[314]  C. Kramer,et al.  SPRINGER PROCEEDINGS IN PHYSICS, 91 , 2004 .

[315]  S. Mahulikar,et al.  Physica Scripta , 2004 .

[316]  R. Graham,et al.  Interference of atomic levels and superfluid-Mott insulator phase transitions in a two-component Bose-Einstein condensate. , 2003, Physical review letters.

[317]  Ujjwal Sen,et al.  Multiqubit W states lead to stronger nonclassicality than Greenberger-Horne-Zeilinger states , 2003 .

[318]  J. Vidal,et al.  Entanglement in a first order quantum phase transition , 2003, cond-mat/0312130.

[319]  E. Raposo,et al.  Microscopic description of an Ising spin glass near the percolation threshold. , 2003, Physical review letters.

[320]  D. Leung Quantum computation by measurements , 2003, quant-ph/0310189.

[321]  T. Claeson,et al.  Condensation and Coherence in Condensed Matter , 2003 .

[322]  A. Wójs,et al.  Quantum Hall systems , 2003 .

[323]  L. Jacak,et al.  Quantum Hall systems : braid groups, composite fermions, and fractional charge , 2003, cond-mat/0308530.

[324]  T. Esslinger,et al.  Exciting collective oscillations in a trapped 1D gas. , 2003, Physical review letters.

[325]  Hai-Qing Lin,et al.  Entanglement, quantum phase transition, and scaling in the XXZ chain , 2003, quant-ph/0307131.

[326]  O. Syljuåsen Entanglement and spontaneous symmetry breaking in quantum spin models , 2003, quant-ph/0307087.

[327]  D. Oosten,et al.  Ultracold atoms in optical lattices , 2003, cond-mat/0306573.

[328]  X. Yi,et al.  Noise-assisted preparation of entangled atoms , 2003, quant-ph/0306091.

[329]  P. Zoller,et al.  Quantum computing with atomic Josephson junction arrays , 2003, quant-ph/0306085.

[330]  M. Modugno,et al.  Mean-field analysis of the stability of a K-Rb Fermi-Bose mixture , 2003, cond-mat/0306279.

[331]  M. Lukin,et al.  Spin-exchange interactions of spin-one bosons in optical lattices: Singlet, nematic, and dimerized phases , 2003, cond-mat/0306204.

[332]  S. Yip Exact results for a spin-1 lattice , 2003, cond-mat/0306124.

[333]  S. Yip Dimer state of spin-1 bosons in an optical lattice. , 2003, Physical review letters.

[334]  P. Drummond,et al.  Quantum dynamics with stochastic gauge simulations , 2003, cond-mat/0309514.

[335]  P. Engels,et al.  Observation of Tkachenko oscillations in rapidly rotating Bose-Einstein condensates. , 2003, Physical review letters.

[336]  G. Blatter,et al.  Supersolid versus phase separation in atomic bose-fermi mixtures. , 2003, Physical review letters.

[337]  J. Eisert,et al.  Mixtures of Bosonic and Fermionic Atoms in Optical Lattices , 2003, cond-mat/0304223.

[338]  M. Inguscio,et al.  Production of a Fermi gas of atoms in an optical lattice , 2003, cond-mat/0304242.

[339]  P. Zoller,et al.  Creation of effective magnetic fields in optical lattices: the Hofstadter butterfly for cold neutral atoms , 2003, quant-ph/0304038.

[340]  J. Cirac,et al.  Entanglement of formation for symmetric Gaussian states. , 2003, Physical review letters.

[341]  R. Roth,et al.  Phase diagram of bosonic atoms in two-color superlattices , 2003, cond-mat/0304063.

[342]  J. Cirac,et al.  Defect-suppressed atomic crystals in an optical lattice. , 2003, Physical review letters.

[343]  F. Schmidt-Kaler,et al.  Realization of the Cirac–Zoller controlled-NOT quantum gate , 2003, Nature.

[344]  I. Carusotto,et al.  An exact reformulation of the Bose–Hubbard model in terms of a stochastic Gutzwiller ansatz , 2003, cond-mat/0303259.

[345]  P. Schmidt,et al.  Determination of the s-wave scattering length of chromium. , 2003, Physical review letters.

[346]  A. Aspect,et al.  Momentum spectroscopy of 1D phase fluctuations in Bose-Einstein condensates. , 2003, Physical review letters.

[347]  M. Lewenstein,et al.  Atomic Bose and Anderson glasses in optical lattices. , 2003, Physical review letters.

[348]  Michael A. Nielsen,et al.  Quantum computation by measurement and quantum memory , 2003 .

[349]  M. Żukowski,et al.  Unified criterion for security of secret sharing in terms of violation of Bell inequalities , 2003, quant-ph/0302156.

[350]  Shou-Cheng Zhang,et al.  Exact SO(5) symmetry in the spin-3/2 fermionic system. , 2003, Physical review letters.

[351]  J. Greensite The Confinement Problem in Lattice Gauge Theory , 2003, hep-lat/0301023.

[352]  C. Newman,et al.  TOPICAL REVIEW: Ordering and broken symmetry in short-ranged spin glasses , 2003, cond-mat/0301403.

[353]  K. Audenaert,et al.  Entanglement cost under positive-partial-transpose-preserving operations. , 2003, Physical review letters.

[354]  P. Knight,et al.  Quantum computation with a one-dimensional optical lattice. , 2003, Physical review letters.

[355]  G. Vidal Efficient classical simulation of slightly entangled quantum computations. , 2003, Physical review letters.

[356]  H. Briegel,et al.  Measurement-based quantum computation on cluster states , 2003, quant-ph/0301052.

[357]  F. Schmidt-Kaler,et al.  Implementation of the Deutsch–Jozsa algorithm on an ion-trap quantum computer , 2003, Nature.

[358]  Hui Hu,et al.  Collisionless and hydrodynamic excitations of trapped boson-fermion mixtures , 2002, cond-mat/0212169.

[359]  M. Lewenstein,et al.  Entangling strings of neutral atoms in 1D atomic pipeline structures. , 2002, Physical review letters.

[360]  S. Bose Quantum communication through an unmodulated spin chain. , 2002, Physical review letters.

[361]  G. Vidal,et al.  Entanglement in quantum critical phenomena. , 2002, Physical review letters.

[362]  M. Lukin,et al.  Controlling spin exchange interactions of ultracold atoms in optical lattices. , 2002, Physical review letters.

[363]  Simon C Benjamin,et al.  Quantum computing with an always-on Heisenberg interaction. , 2002, Physical review letters.

[364]  M. Lewenstein,et al.  Quantum computing with spatially delocalized qubits. , 2002, Physical review letters.

[365]  K. Rzążewski,et al.  Probing the classical field approximation—thermodynamics and decaying vortices , 2002, cond-mat/0209637.

[366]  R. Roth,et al.  Superfluidity and interference pattern of ultracold bosons in optical lattices , 2002, cond-mat/0209066.

[367]  J. Schmiedmayer,et al.  Fundamental limits for coherent manipulation on atom chips , 2002, quant-ph/0208165.

[368]  J. Cirac,et al.  Quantum computation with unknown parameters. , 2002, Physical review letters.

[369]  M. Lewenstein,et al.  Creation of a dipolar superfluid in optical lattices. , 2002, Physical review letters.

[370]  K. Das Bose-Fermi mixtures in one dimension. , 2002, Physical review letters.

[371]  D. Sherrington,et al.  Fermionic Sherrington-Kirkpatrick models with Hubbard interaction: Magnetism and electronic structure , 2002, cond-mat/0207734.

[372]  M. Horodecki,et al.  Rates of asymptotic entanglement transformations for bipartite mixed states: Maximally entangled states are not special , 2002, quant-ph/0207031.

[373]  J. Cirac,et al.  From Cooper pairs to Luttinger liquids with bosonic atoms in optical lattices. , 2002, Physical review letters.

[374]  F. Verstraete,et al.  Local vs. joint measurements for the entanglement of assistance , 2002, Quantum Inf. Comput..

[375]  P. Zoller,et al.  Spin-charge separation in ultracold quantum gases. , 2002, Physical review letters.

[376]  I. Carusotto,et al.  Condensate statistics in one-dimensional interacting Bose gases: exact results. , 2002, Physical review letters.

[377]  R. Roth,et al.  Ultracold bosonic atoms in two-colour superlattices , 2002, cond-mat/0205412.

[378]  A. Kuklov,et al.  Counterflow superfluidity of two-species ultracold atoms in a commensurate optical lattice. , 2002, Physical review letters.

[379]  I. Carusotto,et al.  Exact reformulation of the bosonic many-body problem in terms of stochastic wave functions: Convergence issues , 2003 .

[380]  J. Schmiedmayer,et al.  Microscopic atom optics: from wires to an atom chip , 2008, 0805.2613.

[381]  T. Weber,et al.  Bose-Einstein Condensation of Cesium , 2002, Science.

[382]  W. Ketterle Nobel lecture: When atoms behave as waves: Bose-Einstein condensation and the atom laser* , 2002 .

[383]  W. Zwerger Mott-Hubbard transition of cold atoms in optical lattices , 2002, cond-mat/0211314.

[384]  W. Ertmer,et al.  Interferometer-type structures for guided atoms. , 2002, Physical review letters.

[385]  Shlomo E. Sklarz,et al.  Flat-phase loading of a Bose-Einstein condensate into an optical lattice , 2002, physics/0209071.

[386]  R. Brecha,et al.  Collapse of a Degenerate Fermi Gas , 2002, Science.

[387]  C. Wieman,et al.  Nobel Lecture: Bose-Einstein condensation in a dilute gas, the first 70 years and some recent experiments , 2002 .

[388]  I. Bose,et al.  Macroscopic entanglement jumps in model spin systems , 2002, cond-mat/0208011.

[389]  J. Eisert,et al.  Hot entanglement in a simple dynamical model , 2002, quant-ph/0207120.

[390]  S. Giorgini,et al.  Ground-state properties of a dilute Bose-Fermi mixture , 2002, cond-mat/0207260.

[391]  M. Lewenstein,et al.  Quantum computing in optical microtraps based on the motional states of neutral atoms , 2002, quant-ph/0206096.

[392]  Daniel Braun,et al.  Creation of entanglement by interaction with a common heat bath. , 2002, Physical review letters.

[393]  B. Kumar Quantum spin models with exact dimer ground states , 2002, cond-mat/0205072.

[394]  Quantum-information processing in bosonic lattices , 2002, quant-ph/0204118.

[395]  J. Cirac,et al.  High-temperature superfluidity of fermionic atoms in optical lattices. , 2002, Physical review letters.

[396]  D. Weinmann,et al.  Disorder-induced enhancement of the persistent current for strongly interacting electrons in one-dimensional rings , 2002, cond-mat/0204212.

[397]  J. Cirac,et al.  Creation of a molecular condensate by dynamically melting a Mott insulator. , 2002, Physical review letters.

[398]  K. Rzążewski,et al.  Thermodynamics of an interacting trapped Bose-Einstein gas in the classical field approximation , 2002, cond-mat/0203259.

[399]  R. Roth Structure and stability of trapped atomic boson-fermion mixtures , 2002, cond-mat/0203192.

[400]  R. Scalettar,et al.  Mott domains of bosons confined on optical lattices. , 2002, Physical review letters.

[401]  M. Koashi,et al.  Theory of spin-2 Bose-Einstein condensates: Spin correlations, magnetic response, and excitation spectra , 2002, cond-mat/0203052.

[402]  M. Nielsen,et al.  Entanglement in a simple quantum phase transition , 2002, quant-ph/0202162.

[403]  B. Svistunov,et al.  Revealing the superfluid–Mott-insulator transition in an optical lattice , 2002, cond-mat/0202510.

[404]  P. Zanardi,et al.  Quantum entanglement and Bell inequalities in Heisenberg spin chains , 2002, quant-ph/0202108.

[405]  W. Wootters Parallel transport in an entangled ring , 2002, quant-ph/0202048.

[406]  A. Osterloh,et al.  Scaling of entanglement close to a quantum phase transition , 2002, Nature.

[407]  K. Burnett,et al.  Simulations of thermal Bose fields in the classical limit , 2002, cond-mat/0201571.

[408]  Eric Charron,et al.  Optimizing a phase gate using quantum interference. , 2002, Physical review letters.

[409]  A. Sinatra,et al.  The truncated Wigner method for Bose-condensed gases: limits of validity and applications , 2002, cond-mat/0201217.

[410]  M. Lewenstein,et al.  Ultracold Dipolar Gases – a Challenge for Experiments and Theory , 2002, cond-mat/0201100.

[411]  P. Zanardi,et al.  Fermionic entanglement in itinerant systems , 2002, quant-ph/0201028.

[412]  F. Illuminati,et al.  Quantum field theory of dilute homogeneous Bose-Fermi mixtures at zero temperature: General formalism and beyond mean-field corrections , 2002, cond-mat/0201102.

[413]  T. Hänsch,et al.  Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms , 2002, Nature.

[414]  A. MacDonald,et al.  Quantum melting and absence of Bose-Einstein condensation in two-dimensional vortex matter. , 2002, Physical review letters.

[415]  R. Shankar,et al.  Generalized Shastry-Sutherland models in three and higher dimensions , 2001, cond-mat/0112507.

[416]  Z Hadzibabic,et al.  Two-species mixture of quantum degenerate Bose and Fermi gases. , 2001, Physical review letters.

[417]  J. Cirac,et al.  Entanglement cost of bipartite mixed states. , 2001, Physical review letters.

[418]  Simon C Benjamin,et al.  Quantum computing without local control of qubit-qubit interactions. , 2001, Physical review letters.

[419]  M. Lewenstein,et al.  Quantum phases of dipolar bosons in optical lattices. , 2001, Physical review letters.

[420]  P. Parrilo,et al.  Distinguishing separable and entangled states. , 2001, Physical review letters.

[421]  S. Huelga,et al.  Entangled light from white noise. , 2001, Physical review letters.

[422]  V. Vinokur,et al.  Thermodynamics of the superfluid dilute bose gas with disorder. , 2001, Physical review letters.

[423]  M. Nielsen,et al.  Entanglement, Quantum Phase Transitions, and Density Matrix Renormalization , 2001, Quantum Inf. Process..

[424]  Hans J. Briegel,et al.  The one-way quantum computer--a non-network model of quantum computation , 2001, quant-ph/0108118.

[425]  D. Meyer,et al.  Global entanglement in multiparticle systems , 2001, quant-ph/0108104.

[426]  P. Zanardi Quantum entanglement in fermionic lattices , 2001, quant-ph/0104114.

[427]  E. Demler,et al.  Spinor bosonic atoms in optical lattices: symmetry breaking and fractionalization. , 2001, Physical review letters.

[428]  P. Meystre,et al.  Phonon spectrum and dynamical stability of a dilute quantum degenerate Bose-Fermi mixture. , 2001, Physical review letters.

[429]  G. Vidal,et al.  Computable measure of entanglement , 2001, quant-ph/0102117.

[430]  M. Lewenstein,et al.  Phase fluctuations in Bose–Einstein condensates , 2001, cond-mat/0201270.

[431]  John Preskill,et al.  Quantum networks based on cavity QED , 2001, Quantum Inf. Comput..

[432]  P. Capuzzi,et al.  Zero-sound density oscillations in Fermi-Bose mixtures , 2001 .

[433]  M. Raizen,et al.  Transition between extended and localized states in a one-dimensional incommensurate optical lattice , 2001 .

[434]  I. Carusotto,et al.  An exact stochastic field method for the interacting Bose gas at thermal equilibrium , 2001, cond-mat/0108042.

[435]  R. Ballagh,et al.  Dynamics of thermal Bose fields in the classical limit , 2001, cond-mat/0107515.

[436]  G. Ferrari,et al.  Quasipure Bose-Einstein condensate immersed in a Fermi sea. , 2001, Physical review letters.

[437]  L. Capriotti,et al.  Resonating valence bond wave functions for strongly frustrated spin systems. , 2001, Physical Review Letters.

[438]  N. Cooper,et al.  Quantum phases of vortices in rotating Bose-Einstein condensates. , 2001, Physical review letters.

[439]  Igor Protsenko,et al.  Sub-poissonian loading of single atoms in a microscopic dipole trap , 2001, Nature.

[440]  M. Chapman,et al.  All-optical formation of an atomic Bose-Einstein condensate. , 2001, Physical review letters.

[441]  M. Lewenstein,et al.  Observation of phase fluctuations in elongated Bose-Einstein condensates. , 2001, Physical review letters.

[442]  R Raussendorf,et al.  A one-way quantum computer. , 2001, Physical review letters.

[443]  Xiaoguang Wang,et al.  Thermal entanglement in three-qubit Heisenberg models , 2001, quant-ph/0105075.

[444]  A. Leggett,et al.  Bose-Einstein condensation in the alkali gases: Some fundamental concepts , 2001 .

[445]  F. Mintert,et al.  Ion-trap quantum logic using long-wavelength radiation. , 2001, Physical review letters.

[446]  W. Ketterle,et al.  Observation of Vortex Lattices in Bose-Einstein Condensates , 2001, Science.

[447]  J. Cirac,et al.  1/2-anyons in small atomic Bose-Einstein condensates. , 2001, Physical review letters.

[448]  Randall G. Hulet,et al.  Observation of Fermi Pressure in a Gas of Trapped Atoms , 2001, Science.

[449]  V. Kendon,et al.  Thermal concurrence mixing in a one-dimensional Ising model , 2001, quant-ph/0102137.

[450]  Xiaoguang Wang Effects of anisotropy on thermal entanglement , 2001, quant-ph/0102072.

[451]  M. Lavagna Quantum phase transitions , 2001, cond-mat/0102119.

[452]  E. Andersson,et al.  Quantum logic gate with microtraps , 2001 .

[453]  P. Horodecki “Interaction-free” interaction: Entangling evolution coming from the possibility of detection , 2001 .

[454]  A. Sinatra,et al.  Classical-field method for time dependent Bose-Einstein condensed gases. , 2001, Physical review letters.

[455]  Xiaoguang Wang Entanglement in the quantum Heisenberg XY model , 2001, quant-ph/0101013.

[456]  K. Burnett,et al.  Simulations of Bose fields at finite temperature. , 2000, Physical review letters.

[457]  R. Moessner,et al.  Ising models of quantum frustration , 2000, cond-mat/0011250.

[458]  K. Rzążewski,et al.  Multi-mode description of an interacting Bose-Einstein condensate. , 2000, Optics express.

[459]  J. Cirac,et al.  Dipole blockade and quantum information processing in mesoscopic atomic ensembles. , 2000, Physical review letters.

[460]  M. Hasenbusch,et al.  Critical behavior of the three-dimensional XY universality class , 2000, cond-mat/0010360.

[461]  A. Georges,et al.  Quantum fluctuations of a nearly critical Heisenberg spin glass , 2000, cond-mat/0009388.

[462]  S. Bose,et al.  Natural thermal and magnetic entanglement in the 1D Heisenberg model. , 2000, Physical review letters.

[463]  H. Briegel,et al.  Persistent entanglement in arrays of interacting particles. , 2000, Physical review letters.

[464]  Dirk Bouwmeester,et al.  The physics of quantum information: quantum cryptography, quantum teleportation, quantum computation , 2010, Physics and astronomy online library.

[465]  Z. F. Ezawa Quantum Hall Effects: Field Theoretical Approach and Related Topics , 2000 .

[466]  P. Straten,et al.  Quantum phases in an optical lattice , 2000, cond-mat/0011108.

[467]  W. Wootters,et al.  Entangled Rings , 2000, quant-ph/0009041.

[468]  Wolfgang Ertmer,et al.  Atom optics with microfabricated optical elements , 2000, Conference Digest. 2000 International Quantum Electronics Conference (Cat. No.00TH8504).

[469]  S. Huelga,et al.  Entangling atoms and ions in dissipative environments , 2000, quant-ph/0007082.

[470]  Troyer,et al.  Li2VO(Si,Ge)O4, a prototype of a two-dimensional frustrated quantum heisenberg antiferromagnet , 2000, Physical review letters.

[471]  K. Vollbrecht,et al.  Entanglement of formation for isotropic states , 2000, Physical review letters.

[472]  Smith,et al.  Influence of induced interactions on the superfluid transition in dilute fermi gases , 2000, Physical review letters.

[473]  Cornish,et al.  Stable 85Rb bose-einstein condensates with widely tunable interactions , 2000, Physical review letters.

[474]  Lukin,et al.  Fast quantum gates for neutral atoms , 2000, Physical review letters.

[475]  A. Sinatra,et al.  A Monte Carlo formulation of the Bogolubov theory , 2000, cond-mat/0004046.

[476]  F. Mila,et al.  RVB description of the low-energy singlets of the spin 1/2 kagomé antiferromagnet , 2000, cond-mat/0003080.

[477]  Baxter,et al.  Quantum-critical conductivity scaling for a metal-insulator transition , 2000, Science.

[478]  Dalibard,et al.  Vortex formation in a stirred bose-einstein condensate , 1999, Physical review letters.

[479]  H. Stoof,et al.  Phonon exchange in dilute Fermi-Bose mixtures: Tailoring the Fermi-Fermi interaction , 1999, cond-mat/9911084.

[480]  Chandra,et al.  Two-dimensional periodic frustrated ising models in a transverse field , 1999, Physical review letters.

[481]  D. Aharonov Quantum to classical phase transition in noisy quantum computers , 1999, quant-ph/9910081.

[482]  U. Arizona,et al.  Entangling dipole-dipole interactions for quantum logic in optical lattices , 1999, QELS 2000.

[483]  L. Amico,et al.  Time dependent mean field theory of the superfluid-insulator phase transition , 1999, cond-mat/9908050.

[484]  G. Benenti,et al.  Delocalized Coulomb phase in two dimensions , 1999, cond-mat/9906397.

[485]  Ueda,et al.  Exact eigenstates and magnetic response of spin-1 and spin-2 bose-einstein condensates , 1999, Physical review letters.

[486]  Gunn,et al.  Condensation of "Composite Bosons" in a rotating BEC , 1999, Physical review letters.

[487]  S. White,et al.  The one-dimensional Bose-Hubbard Model with nearest-neighbor interaction , 1999, cond-mat/9906019.

[488]  D. Bouwmeester,et al.  The Physics of Quantum Information , 2000 .

[489]  L. Guidoni,et al.  Atomic diffusion in an optical quasicrystal with five-fold symmetry , 1999 .

[490]  C. Salomon,et al.  Trapping and cooling cesium atoms in a speckle field , 1999 .

[491]  Harold Metcalf,et al.  Laser Cooling and Trapping , 1999 .

[492]  D. Jin,et al.  Onset of fermi degeneracy in a trapped atomic Gas , 1999, Science.

[493]  A. Hemmerich QUANTUM ENTANGLEMENT IN DILUTE OPTICAL LATTICES , 1999 .

[494]  P. Knight,et al.  Proposal for teleportation of an atomic state via cavity decay , 1999, quant-ph/9908004.

[495]  W. Wootters,et al.  Distributed Entanglement , 1999, quant-ph/9907047.

[496]  M. Hussein,et al.  Feshbach resonances in atomic Bose–Einstein condensates , 1999 .

[497]  G. Benenti,et al.  New Quantum Phase between the Fermi Glass and the Wigner Crystal in Two Dimensions , 1999, cond-mat/9904096.

[498]  C. Hamer,et al.  Dimer order with striped correlations in the J 1 -J 2 Heisenberg model , 1999, cond-mat/9904064.

[499]  M. Plenio,et al.  MINIMAL CONDITIONS FOR LOCAL PURE-STATE ENTANGLEMENT MANIPULATION , 1999, quant-ph/9903054.

[500]  J. Oitmaa,et al.  Low-energy singlet and triplet excitations in the spin-liquid phase of the two-dimensional J 1 − J 2 model , 1999, cond-mat/9903154.

[501]  R. Grimm,et al.  Optical dipole traps for neutral atoms , 1999, physics/9902072.

[502]  A. Tsvelik,et al.  Bosonization and Strongly Correlated Systems , 1999, cond-mat/9909069.

[503]  U. Schollwoeck,et al.  Density matrix renormalization group for disordered bosons in one dimension , 1999, cond-mat/9901080.

[504]  M. Nielsen Conditions for a Class of Entanglement Transformations , 1998, quant-ph/9811053.

[505]  S. Huelga,et al.  Cavity-loss-induced generation of entangled atoms , 1998, quant-ph/9811003.

[506]  P. Zoller,et al.  Entanglement of Atoms via Cold Controlled Collisions , 1998, quant-ph/9810087.

[507]  N. Read,et al.  Beyond paired quantum Hall states: parafermions and incompressible states in the first excited Landau level , 1998, cond-mat/9809384.

[508]  J. Cirac,et al.  Quantum repeaters based on entanglement purification , 1998, quant-ph/9808065.

[509]  H. Monien,et al.  Dynamics and thermodynamics of the Bose-Hubbard model , 1998, cond-mat/9807033.

[510]  T. Cheon,et al.  Fermion-Boson Duality of One-Dimensional Quantum Particles with Generalized Contact Interactions , 1998, quant-ph/9806041.

[511]  M. Sarachik,et al.  Scaling of the Conductivity with Temperature and Uniaxial Stress in Si:B at the Metal-Insulator Transition , 1998, cond-mat/9806162.

[512]  C. Caves,et al.  QUANTUM LOGIC GATES IN OPTICAL LATTICES , 1998, quant-ph/9806021.

[513]  B. Rosenow,et al.  PARISI SYMMETRY OF THE MANY-BODY QUANTUM THEORY OF RANDOMLY INTERACTING FERMIONIC SYSTEMS , 1998, cond-mat/9803239.

[514]  D. Stamper-Kurn,et al.  Spin domains in ground-state Bose–Einstein condensates , 1998, Nature.

[515]  Baughman,et al.  Direct observations of structural phase transitions in planar crystallized ion plasmas , 1998, Science.

[516]  Kun Hu,et al.  Introduction to the Bethe Ansatz II , 1998, cond-mat/9809163.

[517]  G. Vidal,et al.  LOCAL DESCRIPTION OF QUANTUM INSEPARABILITY , 1998 .

[518]  G. Vidal On the characterization of entanglement , 1998 .

[519]  R. Graham,et al.  DYNAMICAL QUANTUM NOISE IN TRAPPED BOSE-EINSTEIN CONDENSATES , 1998, cond-mat/9807349.

[520]  W. Phillips Nobel Lecture: Laser cooling and trapping of neutral atoms , 1998 .

[521]  C. cohen-tannoudji,et al.  Nobel Lecture: Manipulating atoms with photons , 1998 .

[522]  Steven R. White,et al.  Strongly correlated electron systems and the density matrix renormalization group , 1998 .

[523]  S. Chu Nobel Lecture: The manipulation of neutral particles , 1998 .

[524]  David J. Wineland,et al.  Experimental Primer on the Trapped Ion Quantum Computer , 1998 .

[525]  G. Grynberg,et al.  Atom Cooling and trapping by disorder , 1998, Technical Digest. 1998 EQEC. European Quantum Electronics Conference (Cat. No.98TH8326).

[526]  C. Gardiner,et al.  Cold Bosonic Atoms in Optical Lattices , 1998, cond-mat/9805329.

[527]  F. Mila LOW-ENERGY SECTOR OF THE S = 1/2 KAGOME ANTIFERROMAGNET , 1998, cond-mat/9805078.

[528]  D. James Theory of Heating of the Quantum Ground State of Trapped Ions , 1998, quant-ph/9804048.

[529]  D. Weinmann,et al.  From the Fermi glass towards the Mott insulator in one dimension: Delocalization and strongly enhanced persistent currents , 1998, cond-mat/9804053.

[530]  T. Ho Spinor Bose Condensates in Optical Traps , 1998, cond-mat/9803231.

[531]  K. Machida,et al.  Bose-Einstein Condensation with Internal Degrees of Freedom in Alkali Atom Gases , 1998, cond-mat/9803160.

[532]  W. Ketterle,et al.  Observation of Feshbach resonances in a Bose–Einstein condensate , 1998, Nature.

[533]  C. S. Wood,et al.  Cooling the Collective Motion of Trapped Ions to Initialize a Quantum Register , 1998, quant-ph/9803023.

[534]  Klaus Mølmer,et al.  Bose Condensates and Fermi Gases at Zero Temperature , 1998 .

[535]  L. Guidoni,et al.  Direct observation of atomic localization in optical superlattices , 1998 .

[536]  H. Everts,et al.  First excitations of the spin 1/2 Heisenberg antiferromagnet on the kagomé lattice , 1998, cond-mat/9802168.

[537]  Boris Svistunov,et al.  “Worm” algorithm in quantum Monte Carlo simulations☆ , 1998 .

[538]  D. Baxter,et al.  Temperature-Frequency Scaling in Amorphous Niobium-Silicon near the Metal-Insulator Transition , 1998, cond-mat/9802056.

[539]  Wineland,et al.  Bragg diffraction from crystallized ion plasmas , 1998, Science.

[540]  L. Amico,et al.  Dynamical Mean Field Theory of the Bose-Hubbard Model , 1998, cond-mat/9801074.

[541]  T. D. Kuehner,et al.  Phases of the one-dimensional Bose-Hubbard model , 1997, cond-mat/9712307.

[542]  J. F. Poyatos,et al.  Quantum gates with hot trapped ions , 1997, Technical Digest. Summaries of Papers Presented at the International Quantum Electronics Conference. Conference Edition. 1998 Technical Digest Series, Vol.7 (IEEE Cat. No.98CH36236).

[543]  W. Wootters Entanglement of Formation of an Arbitrary State of Two Qubits , 1997, quant-ph/9709029.

[544]  N. Wilkin,et al.  Do Attractive Bosons Condense , 1997, cond-mat/9705050.

[545]  J. Mlynek,et al.  Atom Optics , 1998, Technical Digest. 1998 EQEC. European Quantum Electronics Conference (Cat. No.98TH8326).

[546]  Colin P. Williams,et al.  Explorations in quantum computing , 1997 .

[547]  G. Grynberg,et al.  Quasiperiodic Optical Lattices , 1997 .

[548]  A. Sandvik Finite-size scaling of the ground-state parameters of the two-dimensional Heisenberg model , 1997, cond-mat/9707123.

[549]  P. Sindzingre,et al.  Order versus disorder in the quantum Heisenberg antiferromagnet on the kagomé lattice using exact spectra analysis , 1997, cond-mat/9706167.

[550]  W. Wootters,et al.  Entanglement of a Pair of Quantum Bits , 1997, quant-ph/9703041.

[551]  M. Plenio,et al.  Quantifying Entanglement , 1997, quant-ph/9702027.

[552]  S. Rommer,et al.  CLASS OF ANSATZ WAVE FUNCTIONS FOR ONE-DIMENSIONAL SPIN SYSTEMS AND THEIR RELATION TO THE DENSITY MATRIX RENORMALIZATION GROUP , 1997 .

[553]  H. Rieger,et al.  Bose-glass and Mott-insulator phase in the disordered boson Hubbard model , 1996, cond-mat/9612027.

[554]  D. Shepelyansky,et al.  Two Interacting Quasiparticles Above the Fermi Sea , 1996, cond-mat/9612006.

[555]  Carl E. Wieman,et al.  PRODUCTION OF TWO OVERLAPPING BOSE-EINSTEIN CONDENSATES BY SYMPATHETIC COOLING , 1997 .

[556]  G. Müller,et al.  Introduction to the Bethe ansatz I , 1997 .

[557]  S. Sarma,et al.  Perspectives in Quantum Hall Effects: Novel Quantum Liquids in Low-Dimensional Semiconductor Structures , 1997 .

[558]  Castin,et al.  Bose-Einstein Condensates in Time Dependent Traps. , 1996, Physical review letters.

[559]  K. Efetov,et al.  Supersymmetry in Disorder and Chaos , 1996 .

[560]  Read,et al.  Quasiholes and fermionic zero modes of paired fractional quantum Hall states: The mechanism for non-Abelian statistics. , 1996, Physical review. B, Condensed matter.

[561]  Weihong,et al.  Series expansion for the J1-J2 Heisenberg antiferromagnet on a square lattice. , 1996, Physical review. B, Condensed matter.

[562]  Kagan,et al.  Evolution of a Bose-condensed gas under variations of the confining potential. , 1996, Physical review. A, Atomic, molecular, and optical physics.

[563]  Walraven,et al.  Influence of Nearly Resonant Light on the Scattering Length in Low-Temperature Atomic Gases. , 1996, Physical review letters.

[564]  Charles H. Bennett,et al.  Mixed-state entanglement and quantum error correction. , 1996, Physical review. A, Atomic, molecular, and optical physics.

[565]  Krishnamurthy,et al.  One-dimensional disordered bosonic Hubbard model: A density-matrix renormalization group study. , 1996, Physical review letters.

[566]  Pérès,et al.  Separability Criterion for Density Matrices. , 1996, Physical review letters.

[567]  A. Garg Decoherence in ion trap quantum computers , 1996, Physical review letters.

[568]  A. Steane Multiple-particle interference and quantum error correction , 1996, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[569]  Knight,et al.  Realistic lower bounds for the factorization time of large numbers on a quantum computer. , 1995, Physical Review A. Atomic, Molecular, and Optical Physics.

[570]  K. B. Davis,et al.  Bose-Einstein Condensation in a Gas of Sodium Atoms , 1995, EQEC'96. 1996 European Quantum Electronic Conference.

[571]  Charles H. Bennett,et al.  Concentrating partial entanglement by local operations. , 1995, Physical review. A, Atomic, molecular, and optical physics.

[572]  J. Freericks,et al.  Strong-coupling expansions for the pure and disordered Bose-Hubbard model. , 1995, Physical review. B, Condensed matter.

[573]  M. P. Gelfand Series expansions for excited states of quantum lattice models , 1995, cond-mat/9507138.

[574]  Müller,et al.  Interaction-induced delocalization of two particles in a random potential: Scaling properties. , 1995, Physical review letters.

[575]  T. Ziman,et al.  Magnetic Order and Disorder in the Frustrated Quantum Heisenberg Antiferromagnet in Two Dimensions , 1994, cond-mat/9402061.

[576]  G. Montambaux,et al.  Correlated fermions and transport in mesoscopic systems : proceedings of the XXXIst Rencontres de Moriond, Series:Moriond condensed matter physics, Les Arcs, Savoie, France, January 20-27, 1996 , 1996 .

[577]  A. Tsvelik Quantum field theory in condensed matter physics , 2003 .

[578]  Wolfgang Ketterle,et al.  Bose-Einstein Condensation: Identity Crisis for Indistinguishable Particles , 2007 .

[579]  King,et al.  Demonstration of a fundamental quantum logic gate. , 1995, Physical review letters.

[580]  Östlund,et al.  Thermodynamic limit of density matrix renormalization. , 1995, Physical review letters.

[581]  Bose,et al.  Frustrated spin-1/2 model in two dimensions with columnar dimer states as possible ground states. , 1995, Physical review. B, Condensed matter.

[582]  Nakamura,et al.  Thermodynamic properties of the quantum Heisenberg antiferromagnet on the kagomé lattice. , 1995, Physical review. B, Condensed matter.

[583]  Shor,et al.  Scheme for reducing decoherence in quantum computer memory. , 1995, Physical review. A, Atomic, molecular, and optical physics.

[584]  C. Wieman,et al.  Observation of Bose-Einstein Condensation in a Dilute Atomic Vapor , 1995, Science.

[585]  Y. Imry Coherent Propagation of Two Interacting Particles in a Random Potential , 1995 .

[586]  J. Cirac,et al.  Quantum Computations with Cold Trapped Ions. , 1995, Physical review letters.

[587]  T. M. Rice,et al.  Unusual paramagnetic phenomena in granular high-temperature superconductors-A consequence of d- wave pairing? , 1995 .

[588]  Zeng,et al.  Quantum dimer calculations on the spin-1/2 kagome-acute Heisenberg antiferromagnet. , 1995, Physical review. B, Condensed matter.

[589]  Weinmann,et al.  h/2e Oscillations for Correlated Electron Pairs in Disordered Mesoscopic Rings. , 1995, Physical review letters.

[590]  D. Weinmann,et al.  Scaling in Interaction-Assisted Coherent Transport , 1995, cond-mat/9503052.

[591]  Scalettar,et al.  Mean-field theory of the localization transition of hard-core bosons. , 1995, Physical review letters.

[592]  Schulz,et al.  Direct calculation of the spin stiffness in the J1-J2 Heisenberg antiferromagnet. , 1994, Physical review. B, Condensed matter.

[593]  D. Shepelyansky,et al.  Coherent propagation of two interacting particles in a random potential. , 1994, Physical review letters.

[594]  Lhuillier,et al.  Investigation of different classes of variational functions for the triangular and kagome-acute spin-1/2 Heisenberg antiferromagnets. , 1994, Physical review. B, Condensed matter.

[595]  Vladimir E. Korepin,et al.  The One-Dimensional Hubbard Model , 1994 .

[596]  V. Korepin,et al.  Exactly solvable models of strongly correlated electrons , 1994, cond-mat/9408092.

[597]  Popescu,et al.  Bell's inequalities versus teleportation: What is nonlocality? , 1994, Physical review letters.

[598]  Giorgini,et al.  Effects of disorder in a dilute Bose gas. , 1994, Physical review. B, Condensed matter.

[599]  Kim,et al.  Large-N renormalization-group study of the commensurate dirty-boson problem. , 1993, Physical review. B, Condensed matter.

[600]  Young,et al.  Superconductor-insulator transition in two-dimensional dirty boson systems. , 1993, Physical review. B, Condensed matter.

[601]  M. S. Singh,et al.  Disordered bosons: Condensate and excitations. , 1993, Physical review. B, Condensed matter.

[602]  A. Auerbach Interacting electrons and quantum magnetism , 1994 .

[603]  L. Ballentine,et al.  Quantum Theory: Concepts and Methods , 1994 .

[604]  B. Kramer,et al.  Localization: theory and experiment , 1993 .

[605]  J. Freericks,et al.  Phase diagram of the Bose-Hubbard Model , 1993, cond-mat/9307011.

[606]  H. R. Krishnamurthy,et al.  Superfluid and insulating phases in an interacting-boson model: mean-field theory and the RPA , 1993 .

[607]  Zhang Disordered boson systems: A perturbative study. , 1993, Physical review. B, Condensed matter.

[608]  Wang,et al.  Critical exponents for the three-dimensional superfluid-Bose-glass phase transition. , 1993, Physical review. B, Condensed matter.

[609]  Charles H. Bennett,et al.  Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels. , 1993, Physical review letters.

[610]  Richter Zero-temperature magnetic ordering in the inhomogeneously frustrated quantum Heisenberg antiferromagnet on a square lattice. , 1993, Physical review. B, Condensed matter.

[611]  V. Elser,et al.  Numerical studies of a 36-site kagomé antiferromagnet , 1993 .

[612]  V. Korepin,et al.  Quantum Inverse Scattering Method and Correlation Functions , 1993, cond-mat/9301031.

[613]  Its,et al.  Temperature correlations of quantum spins. , 1992, Physical review letters.

[614]  Charles H. Bennett,et al.  Communication via one- and two-particle operators on Einstein-Podolsky-Rosen states. , 1992, Physical review letters.

[615]  White,et al.  Density matrix formulation for quantum renormalization groups. , 1992, Physical review letters.

[616]  C. Lhuillier,et al.  Signature of Néel order in exact spectra of quantum antiferromagnets on finite lattices. , 1992, Physical review letters.

[617]  Sánchez,et al.  Mössbauer isomer shifts in iron borides based on the local structure of the Fe sites. , 1992, Physical review. B, Condensed matter.

[618]  Batrouni,et al.  World-line quantum Monte Carlo algorithm for a one-dimensional Bose model. , 1992, Physical review. B, Condensed matter.

[619]  Huang,et al.  Hard-sphere Bose gas in random external potentials. , 1992, Physical review letters.

[620]  M. Rasolt,et al.  Theoretical aspects of superconductivity in very high magnetic fields , 1992 .

[621]  S. Popescu,et al.  Generic quantum nonlocality , 1992 .

[622]  Trumper,et al.  J1-J2 model: Energy, correlations, and order-parameter fluctuations on finite lattices. , 1992, Physical review. B, Condensed matter.

[623]  C. cohen-tannoudji,et al.  Atom-Photon Interactions: Basic Processes and Applications , 1992 .

[624]  M. S. Singh,et al.  Three-sublattice order in triangular- and Kagomé-lattice spin-half antiferromagnets. , 1992, Physical review letters.

[625]  M. Fannes,et al.  Finitely correlated states on quantum spin chains , 1992 .

[626]  Ma,et al.  Real-space renormalization-group study of hard-core dirty bosons. , 1992, Physical review. B, Condensed matter.

[627]  T. Ziman,et al.  Finite-size scaling for the two-dimensional frustrated quantum Heisenberg antiferromagnet , 1992 .

[628]  G. Moore,et al.  Fractional Quantum Hall Effect and Nonabelian Statistics , 1992, hep-th/9202001.

[629]  Caffarel,et al.  Gutzwiller wave function for a model of strongly interacting bosons. , 1992, Physical review. B, Condensed matter.

[630]  D. Rokhsar,et al.  Gutzwiller projection for bosons. , 1991, Physical review. B, Condensed matter.

[631]  Krauth Bethe ansatz for the one-dimensional boson Hubbard model. , 1991, Physical review. B, Condensed matter.

[632]  N. Trivedi,et al.  Superfluid-insulator transition in disordered boson systems , 1991, Physical review letters.

[633]  Gregory W. Moore,et al.  Nonabelions in the fractional quantum Hall effect , 1991 .

[634]  Ekert,et al.  Quantum cryptography based on Bell's theorem. , 1991, Physical review letters.

[635]  Mitra,et al.  Frustrated spin-1/2 model in two dimensions with a known ground state. , 1991, Physical review. B, Condensed matter.

[636]  Wilczek,et al.  Paired Hall state at half filling. , 1991, Physical review letters.

[637]  Batrouni,et al.  Localization in interacting, disordered, Bose systems. , 1991, Physical review letters.

[638]  Politzer Light incident on a Bose-condensed gas. , 1991, Physical Review A. Atomic, Molecular, and Optical Physics.

[639]  Dagotto,et al.  Static and dynamical correlations in a spin-1/2 frustrated antiferromagnet. , 1991, Physical review. B, Condensed matter.

[640]  W. Krauth,et al.  Mott and Superfluid Transitions in a Strongly Interacting Lattice Boson System , 1991 .

[641]  Read,et al.  Large-N expansion for frustrated quantum antiferromagnets. , 1991, Physical review letters.

[642]  E. Manousakis The spin- 1/2 Heisenberg antiferromagnet on a square lattice and its application to the cuprous oxides , 1991 .

[643]  F. Haake Quantum signatures of chaos , 1991 .

[644]  G. Murthy,et al.  Action of hedgehog instantons in the disordered phase of the (2 + 1)-dimensional CPN−1 model , 1990 .

[645]  Gelfand Series investigations of magnetically disordered ground states in two-dimensional frustrated quantum antiferromagnets. , 1990, Physical review. B, Condensed matter.

[646]  Zeng,et al.  Numerical studies of antiferromagnetism on a Kagomé net. , 1990, Physical review. B, Condensed matter.

[647]  William H. Press,et al.  Numerical recipes , 1990 .

[648]  Batrouni,et al.  Quantum critical phenomena in one-dimensional Bose systems. , 1990, Physical review letters.

[649]  J. Gunn,et al.  Bosons in a random potential: condensation and screening in a dense limit , 1990 .

[650]  Narayanan,et al.  Dimer versus twist order in the J1-J2 model. , 1990, Physical review letters.

[651]  D. Huse,et al.  Perturbation expansions for quantum many-body systems , 1990 .

[652]  Kivelson,et al.  Exact diagonalization of finite frustrated spin-(1/2 Heisenberg models. , 1990, Physical review. B, Condensed matter.

[653]  Bruno Nachtergaele,et al.  Exact Antiferromagnetic Ground States of Quantum Spin Chains , 1989 .

[654]  M. S. Singh,et al.  Zero-temperature ordering in two-dimensional frustrated quantum Heisenberg antiferromagnets. , 1989, Physical review. B, Condensed matter.

[655]  Dagotto,et al.  Phase diagram of the frustrated spin-1/2 Heisenberg antiferromagnet in 2 dimensions. , 1989, Physical review letters.

[656]  Werner,et al.  Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model. , 1989, Physical review. A, General physics.

[657]  D. Amit Modelling Brain Function: The World of Attractor Neural Networks , 1989 .

[658]  Fisher,et al.  Boson localization and the superfluid-insulator transition. , 1989, Physical review. B, Condensed matter.

[659]  Henley,et al.  Ordering due to disorder in a frustrated vector antiferromagnet. , 1989, Physical review letters.

[660]  Read,et al.  Valence-bond and spin-Peierls ground states of low-dimensional quantum antiferromagnets. , 1989, Physical review letters.

[661]  F. Wilczek,et al.  Geometric Phases in Physics , 1989 .

[662]  Minoru Toda,et al.  Springer Series in Solid-State Sciences , 1989 .

[663]  Daniel L. Stein,et al.  The Physics of Structurally Disordered Matter: An Introduction , 1988 .

[664]  M. S. Singh,et al.  Ground states of low-dimensional quantum antiferromagnets. , 1988, Physical review letters.

[665]  S. Stenholm,et al.  Laser cooling and trapping , 1988 .

[666]  Liang,et al.  Some new variational resonating-valence-bond-type wave functions for the spin-1/2 antiferromagnetic Heisenberg model on a square lattice. , 1988, Physical review letters.

[667]  Fisher,et al.  Nonequilibrium dynamics of spin glasses. , 1988, Physical review. B, Condensed matter.

[668]  Fisher,et al.  Equilibrium behavior of the spin-glass ordered phase. , 1988, Physical review. B, Condensed matter.

[669]  E P Wohlfarth,et al.  Spin Glasses and Other Frustrated Systems , 1988 .

[670]  T. Giamarchi,et al.  Anderson localization and interactions in one-dimensional metals. , 1988, Physical review. B, Condensed matter.

[671]  S. Girvin,et al.  The Quantum Hall Effect , 1987 .

[672]  J. Bonner Generalized Heisenberg quantum spin chains (invited) , 1987 .

[673]  P. Anderson The Resonating Valence Bond State in La2CuO4 and Superconductivity , 1987, Science.

[674]  Moore,et al.  Chaotic nature of the spin-glass phase. , 1987, Physical review letters.

[675]  A. Leggett,et al.  Dynamics of the dissipative two-state system , 1987 .

[676]  M. Mézard,et al.  Spin Glass Theory and Beyond , 1987 .

[677]  A. Efros,et al.  Electron-Electron Interactions in Disordered Systems , 1986, March 1.

[678]  Debashish Chowdhury,et al.  Spin Glasses and Other Frustrated Systems , 1986 .

[679]  K. Binder,et al.  Spin glasses: Experimental facts, theoretical concepts, and open questions , 1986 .

[680]  Lee,et al.  Strongly disordered superfluids: Quantum fluctuations and critical behavior. , 1986, Physical review. B, Condensed matter.

[681]  Monte Carlo analysis of the SU(2) × U(1) and U(2) lattice gauge theories at different space-time dimensionalities , 1986 .

[682]  Fisher,et al.  Ordered phase of short-range Ising spin-glasses. , 1986, Physical review letters.

[683]  S. Redner,et al.  Introduction To Percolation Theory , 2018 .

[684]  M. Ortuño,et al.  The Effect Of Coulomb Interactions On Electronic States And Transport In Disordered Insulators , 1985 .

[685]  B. Frieden,et al.  Laser speckle and related phenomena , 1984, IEEE Journal of Quantum Electronics.

[686]  J. H. Davies,et al.  Properties of the electron glass , 1984 .

[687]  G. A. Thomas,et al.  Critical Scaling of the Conductance in a Disordered Insulator , 1983 .

[688]  B. McCoy,et al.  Correlation functions of the transverse Ising chain at the critical field for large temporal and spatial separations , 1983 .

[689]  B. McCoy,et al.  Time-dependent correlation functions of the transverse Ising chain at the critical magnetic field , 1983 .

[690]  R. Laughlin Anomalous quantum Hall effect: An incompressible quantum fluid with fractionally charged excitations , 1983 .

[691]  F. Haldane Continuum dynamics of the 1-D Heisenberg antiferromagnet: Identification with the O(3) nonlinear sigma model , 1983 .

[692]  Frank Wilczek,et al.  Magnetic flux, angular momentum, and statistics , 1982 .

[693]  F. Wilczek Remarks on Dyons , 1982 .

[694]  W. L. Mcmillan Scaling theory of the metal-insulator transition in amorphous materials , 1981 .

[695]  G. Mahan Many-particle physics , 1981 .

[696]  J. Perk Equations of motion for the transverse correlations of the one-dimensional XY-model at finite temperature , 1980 .

[697]  H. Fukuyama Effects of Interactions on Non-Metallic Behaviors in Two-Dimensional Disordered Systems , 1980 .

[698]  Boris L. Altshuler,et al.  Interaction Effects in Disordered Fermi Systems in Two Dimensions , 1980 .

[699]  A. Aronov,et al.  Zero bias anomaly in tunnel resistance and electron—electron interaction , 1979 .

[700]  C. A. Murray,et al.  Scaling Theory of Localization: Absence of Quantum Diffusion in Two Dimensions , 1979 .

[701]  C. Tracy,et al.  One-Particle Reduced Density Matrix of Impenetrable Bosons in One Dimension at Zero Temperature , 1979 .

[702]  J. Blaizot,et al.  Quantization of time dependent self-consistent fields and finite boson representations for many-fermion system , 1978 .

[703]  C. Tracy,et al.  CROSSOVER SCALING FUNCTION FOR THE ONE-DIMENSIONAL XY MODEL AT ZERO TEMPERATURE , 1978 .

[704]  C. Chien Moessbauer study of a binary amorphous ferromagnet: Fe/sub 80/B/sub 20/ , 1978 .

[705]  J. Hertz,et al.  Theory of a Fermi glass , 1977 .

[706]  D. Hofstadter Energy levels and wave functions of Bloch electrons in rational and irrational magnetic fields , 1976 .

[707]  Boris I Shklovskii,et al.  Critical Behaviour of Conductivity and Dielectric Constant near the Metal-Non-Metal Transition Threshold , 1976 .

[708]  S. Kirkpatrick,et al.  Solvable Model of a Spin-Glass , 1975 .

[709]  D. Thouless,et al.  Conductivity and mobility edges for two-dimensional disordered systems , 1975 .

[710]  N.R. Malik,et al.  Graph theory with applications to engineering and computer science , 1975, Proceedings of the IEEE.

[711]  S. Edwards,et al.  Theory of spin glasses , 1975 .

[712]  Narsingh Deo,et al.  Graph Theory with Applications to Engineering and Computer Science , 1975, Networks.

[713]  Boris I Shklovskii,et al.  Coulomb gap and low temperature conductivity of disordered systems , 1975 .

[714]  J. Dainty Laser speckle and related phenomena , 1975 .

[715]  D. Thouless,et al.  Electrons in disordered systems and the theory of localization , 1974 .

[716]  D. Thouless,et al.  Ordering, metastability and phase transitions in two-dimensional systems , 1973 .

[717]  D. Thouless,et al.  Numerical studies of localization in disordered systems , 1972 .

[718]  B. McCoy,et al.  Statistical Mechanics of the XY Model. 4. Time-Dependent Spin-Correlation Functions , 1971 .

[719]  Eytan Barouch,et al.  Statistical Mechanics of the X Y Model. II. Spin-Correlation Functions , 1971 .

[720]  M. Almond,et al.  Computers in Physics , 1971 .

[721]  Eytan Barouch,et al.  Statistical Mechanics of the XY Model. III , 1970 .

[722]  V. Riede Optical properties of SbSeI in the infrared , 1970 .

[723]  P. Pfeuty The one-dimensional Ising model with a transverse field , 1970 .

[724]  Chanchal K. Majumdar,et al.  On Next‐Nearest‐Neighbor Interaction in Linear Chain. II , 1969 .

[725]  Nevill Mott,et al.  Conduction in glasses containing transition metal ions , 1968 .

[726]  Nevill Mott,et al.  Metal-Insulator Transition , 1968 .

[727]  B. McCoy,et al.  Spin Correlation Functions of theX−YModel , 1968 .

[728]  Marlan O. Scully,et al.  Quantum Theory of an Optical Maser. 1. General Theory , 1967 .

[729]  A R Plummer,et al.  Introduction to Solid State Physics , 1967 .

[730]  Chen Ning Yang,et al.  One-Dimensional Chain of Anisotropic Spin-Spin Interactions. I. Proof of Bethe's Hypothesis for Ground State in a Finite System , 1966 .

[731]  H. Haken Theory of intensity and phase fluctuations of a homogeneously broadened laser , 1966 .

[732]  M. Gell-Mann,et al.  Physics Today. , 1966, Applied optics.

[733]  J. Bell On the Einstein-Podolsky-Rosen paradox , 1964 .

[734]  A. Lenard Momentum Distribution in the Ground State of the One-Dimensional System of Impenetrable Bosons , 1964 .

[735]  R. Glauber Coherent and incoherent states of the radiation field , 1963 .

[736]  R. Borland The nature of the electronic states in disordered one-dimensional systems , 1963, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[737]  R. Glauber The Quantum Theory of Optical Coherence , 1963 .

[738]  E. Sudarshan Equivalence of semiclassical and quantum mechanical descriptions of statistical light beams , 1963 .

[739]  G. V. Chester,et al.  Solid-State Physics , 1962, Nature.

[740]  E. Lieb,et al.  Two Soluble Models of an Antiferromagnetic Chain , 1961 .

[741]  Nevill Mott,et al.  The theory of impurity conduction , 1961 .

[742]  T. Oguchi Theory of Spin-Wave Interactions in Ferro- and Antiferromagnetism , 1960 .

[743]  P. Anderson Absence of Diffusion in Certain Random Lattices , 1958 .

[744]  L. Ryder,et al.  Quantum Field Theory , 2001, Foundations of Modern Physics.

[745]  P. G. Harper,et al.  Single Band Motion of Conduction Electrons in a Uniform Magnetic Field , 1955 .

[746]  R. Kubo The Spin-Wave Theory of Antiferromagnetics , 1952 .

[747]  P. Anderson Limits on the Energy of the Antiferromagnetic Ground State , 1951 .

[748]  J. E. Moyal Quantum mechanics as a statistical theory , 1949, Mathematical Proceedings of the Cambridge Philosophical Society.

[749]  E. M.,et al.  Statistical Mechanics , 2021, Manual for Theoretical Chemistry.

[750]  E. Guth,et al.  Gruppentheorie und ihre Anwendung auf die Quantenmechanik der Atomspektren , 1932 .

[751]  E. Wigner On the quantum correction for thermodynamic equilibrium , 1932 .

[752]  E. Wigner Gruppentheorie und ihre Anwendung auf die Quantenmechanik der Atomspektren , 1931 .