The physics of dipolar bosonic quantum gases

This paper reviews the recent theoretical and experimental advances in the study of ultra-cold gases made of bosonic particles interacting via the long-range, anisotropic dipole–dipole interaction, in addition to the short-range and isotropic contact interaction usually at work in ultra-cold gases. The specific properties emerging from the dipolar interaction are emphasized, from the mean-field regime valid for dilute Bose–Einstein condensates, to the strongly correlated regimes reached for dipolar bosons in optical lattices.

[1]  M. Vengalattore,et al.  Periodic spin textures in a degenerate F = 1 87Rb spinor Bose gas , 2009, 0901.3800.

[2]  J. Shaffer,et al.  Observation of ultralong-range Rydberg molecules , 2009, Nature.

[3]  Jun Ye,et al.  Cold and ultracold molecules: science, technology and applications , 2009, 0904.3175.

[4]  B. Malomed,et al.  Solitons in quasi-one-dimensional Bose-Einstein condensates with competing dipolar and local interactions , 2009, 0904.1833.

[5]  M. Lewenstein,et al.  Pair-supersolid phase in a bilayer system of dipolar lattice bosons. , 2009, Physical review letters.

[6]  R. Zillich,et al.  Dynamics of a two-dimensional system of quantum dipoles. , 2009, Physical review letters.

[7]  G. Gligoric,et al.  Soliton stability and collapse in the discrete nonpolynomial Schrödinger equation with dipole-dipole interactions , 2009, 0903.3517.

[8]  H. Weimer,et al.  Universal scaling in a strongly interacting Rydberg gas , 2009, 0902.4523.

[9]  L. Santos,et al.  Phase transition from straight into twisted vortex lines in dipolar Bose–Einstein condensates , 2009, 0902.3058.

[10]  Dietrich Leibfried,et al.  Optimal surface-electrode trap lattices for quantum simulation with trapped ions. , 2009, Physical review letters.

[11]  L. Santos,et al.  Phonon instability with respect to soliton formation in two-dimensional dipolar Bose-Einstein condensates. , 2008, Physical review letters.

[12]  S. Sondhi,et al.  Devil's staircases and supersolids in a one-dimensional dipolar Bose gas , 2009, 0901.4366.

[13]  P. Zoller,et al.  Phase diagram of one-dimensional hard-core bosons with three-body interactions , 2009 .

[14]  T. Lahaye,et al.  Coherent collapses of dipolar Bose–Einstein condensates for different trap geometries , 2009, 0901.1300.

[15]  L. Santos,et al.  Hybrid multisite excitations in dipolar condensates in optical lattices , 2008, 0812.3543.

[16]  Masahito Ueda,et al.  Ferrofluidity in a two-component dipolar Bose-Einstein condensate. , 2008, Physical review letters.

[17]  Y. P. Chen,et al.  Extreme tunability of interactions in a 7Li Bose-Einstein condensate. , 2008, Physical review letters.

[18]  J. Ye,et al.  Ultracold polar molecules near quantum degeneracy. , 2008, Faraday discussions.

[19]  John L. Bohn,et al.  Stability and excitations of a dipolar Bose-Einstein condensate with a vortex , 2008, 0811.1233.

[20]  B. Svistunov,et al.  Sign-alternating interaction mediated by strongly correlated lattice bosons , 2008, 0811.0397.

[21]  A. M. Martin,et al.  Structure formation during the collapse of a dipolar atomic Bose-Einstein condensate , 2008, 0810.2028.

[22]  R. Wilson,et al.  How does a dipolar Bose-Einstein condensate collapse? , 2008, 0809.4727.

[23]  C. Clark,et al.  Creating a supersolid in one-dimensional Bose mixtures , 2008, 0806.0461.

[24]  P. Gould,et al.  Pushing the Frontiers of Atomic Physics , 2009 .

[25]  Boris A. Malomed,et al.  Bright solitons in the one-dimensional discrete Gross-Pitaevskii equation with dipole-dipole interactions , 2008 .

[26]  T. Schaetz,et al.  Simulating a quantum magnet with trapped ions , 2008 .

[27]  B. Malomed,et al.  Vortex solitons in dipolar Bose-Einstein condensates , 2008, 0809.4356.

[28]  S. L. Cornish,et al.  Collapse times of dipolar Bose-Einstein condensates , 2008, 0809.4294.

[29]  J. Ye,et al.  A High Phase-Space-Density Gas of Polar Molecules , 2008, Science.

[30]  L. Santos,et al.  Magnetic dipolar interaction in a Bose-Einstein condensate atomic interferometer. , 2008, Physical review letters.

[31]  M. Baranov,et al.  Theoretical progress in many-body physics with ultracold dipolar gases , 2008 .

[32]  B. Neyenhuis,et al.  Efficient state transfer in an ultracold dense gas of heteronuclear molecules , 2008 .

[33]  G. Meijer,et al.  Taming molecular beams , 2008 .

[34]  N. Parker,et al.  Thomas-Fermi versus one- and two-dimensional regimes of a trapped dipolar Bose-Einstein condensate , 2008, 0807.5110.

[35]  S. Giampaolo,et al.  Unconventional quantum phases in lattice bosonic mixtures , 2008, 0807.4534.

[36]  M. Weidemüller,et al.  Formation of ultracold polar molecules in the rovibrational ground state. , 2008, Physical review letters.

[37]  N. Kawakami,et al.  Supersolid State of Ultracold Fermions in Optical Lattice(Condensed matter: structure and mechanical and thermal properties) , 2008, 0804.1547.

[38]  L. Santos,et al.  Transverse instability of straight vortex lines in dipolar Bose-Einstein condensates. , 2008, Physical review letters.

[39]  M. Lewenstein,et al.  Ultracold dipolar gas in an optical lattice: The fate of metastable states , 2008, 0806.2950.

[40]  Xin Lu,et al.  Structure and melting behavior of classical bilayer crystals of dipoles , 2008, 0806.2203.

[41]  E. Demler,et al.  Roton softening and supersolidity in Rb spinor condensates , 2008, 0806.1991.

[42]  L. Santos,et al.  Erratum: Mott-insulator phases of nonlocally coupled one-dimensional dipolar Bose gases [Phys. Rev. A 75, 053613 (2007)] , 2008 .

[43]  P. Meystre,et al.  Stability of the density-wave state of a dipolar condensate in a pancake-shaped trap , 2008, 0805.3870.

[44]  A. Läuchli,et al.  Solids and supersolids of three-body interacting polar molecules on an optical lattice. , 2008, Physical review letters.

[45]  M. Ray,et al.  Observation of unusual mass transport in solid hcp (4)He. , 2008, Physical review letters.

[46]  K. Sengstock,et al.  Oscillations and interactions of dark and dark bright solitons in Bose Einstein condensates , 2008, 0804.0544.

[47]  Masahito Ueda,et al.  d-wave collapse and explosion of a dipolar bose-einstein condensate. , 2008, Physical review letters.

[48]  L. Pollet,et al.  Vacancy supersolid of hard-core bosons on the square lattice , 2008, 0803.1116.

[49]  H. Pu,et al.  Manifestations of the roton mode in dipolar Bose-Einstein condensates. , 2008, Physical review letters.

[50]  J. Freericks,et al.  Pattern formation in mixtures of ultracold atoms in optical lattices. , 2008, Physical review letters.

[51]  Edmond Orignac,et al.  Low-energy excitation spectrum of one-dimensional dipolar quantum gases , 2008, 0801.1200.

[52]  D. Stamper-Kurn,et al.  Spontaneously modulated spin textures in a dipolar spinor bose-einstein condensate. , 2007, Physical review letters.

[53]  L. Santos,et al.  Stability of dark solitons in three dimensional dipolar Bose-Einstein condensates. , 2007, Physical review letters.

[54]  E. Maréchal,et al.  All-Optical Production of Chromium Bose-Einstein Condensates , 2007, 0712.3521.

[55]  N. Prokof'ev,et al.  Phase diagram of an anisotropic bosonic t-J model , 2007, 0712.1518.

[56]  B. Malomed,et al.  Anisotropic solitons in dipolar bose-einstein condensates. , 2007, Physical review letters.

[57]  R. Heidemann,et al.  Rydberg excitation of Bose-Einstein condensates. , 2007, Physical review letters.

[58]  D. Porras,et al.  Mesoscopic spin-boson models of trapped ions , 2007, 0710.5145.

[59]  M. Modugno,et al.  Atom interferometry with a weakly interacting Bose-Einstein condensate. , 2007, Physical review letters.

[60]  J. Danzl,et al.  Control of interaction-induced dephasing of Bloch oscillations. , 2007, Physical review letters.

[61]  B. Frohlich,et al.  Stabilization of a purely dipolar quantum gas against collapse , 2007, 0710.3643.

[62]  Y. C. Chen,et al.  Supersolid phases in the bosonic extended Hubbard model , 2007, 0710.3463.

[63]  A. Lamacraft Long-wavelength spin dynamics of ferromagnetic condensates , 2007, 0710.1848.

[64]  S. Fishman,et al.  Structural phase transitions in low-dimensional ion crystals , 2007, 0710.1831.

[65]  Y. Lozovik,et al.  Super-Tonks-Girardeau regime in trapped one-dimensional dipolar gases , 2007, 0709.4609.

[66]  P. Zoller,et al.  Cold atoms and molecules in self-assembled dipolar lattices. , 2007, Physical review letters.

[67]  W. Hofstetter,et al.  Supersolid bose-fermi mixtures in optical lattices. , 2007, Physical review letters.

[68]  Edmond Orignac,et al.  Collective excitations of trapped one-dimensional dipolar quantum gases , 2007, Physical Review A.

[69]  R. Melko,et al.  Supersolidity from defect condensation in the extended boson Hubbard model , 2007, 0708.1807.

[70]  L. Duan,et al.  Superfluidity of fermions with repulsive on-site interaction in an anisotropic optical lattice near a Feshbach resonance , 2007, 0707.1302.

[71]  Sandro Stringari,et al.  Theory of ultracold atomic Fermi gases , 2007, 0706.3360.

[72]  J. Dalibard,et al.  Many-Body Physics with Ultracold Gases , 2007, 0704.3011.

[73]  Ricardo Carretero-González,et al.  Emergent nonlinear phenomena in Bose-Einstein condensates : theory and experiment , 2008 .

[74]  H. Smith,et al.  Bose–Einstein Condensation in Dilute Gases: Fermions , 2008 .

[75]  J. Cirac,et al.  Quantum phases of trapped ions in an optical lattice , 2007, 0712.4073.

[76]  G. Matthies,et al.  Growth of surface undulations at the Rosensweig instability. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[77]  M. Lewenstein,et al.  Ultra-Cold Dipolar Gases , 2007, 0711.3406.

[78]  Luis Santos,et al.  Soliton-soliton scattering in dipolar Bose-Einstein condensates , 2007 .

[79]  S. Ronen,et al.  Dipolar Bose-Einstein condensates at finite temperature , 2007, 0707.0709.

[80]  P. Zoller,et al.  Molecular Dipolar Crystals as High Fidelity Quantum Memory for Hybrid Quantum Computing , 2007, 0706.3051.

[81]  T. Lahaye,et al.  Strong dipolar effects in a quantum ferrofluid , 2007, Nature.

[82]  P. Meystre,et al.  Fermionic stabilization and density-wave ground state of a polar condensate. , 2007, Physical review letters.

[83]  Da-wei Wang An effective many-body theory for strongly interacting polar molecules , 2007, 0704.3868.

[84]  M. Takahashi,et al.  Spinor dipolar bose-einstein condensates: classical spin approach. , 2007, Physical review letters.

[85]  P. Zoller,et al.  Three-body interactions with cold polar molecules , 2007, cond-mat/0703688.

[86]  X. Waintal,et al.  Quantum melting of a crystal of dipolar bosons , 2007, cond-mat/0703620.

[87]  P. Zoller,et al.  Cold polar molecules in two-dimensional traps: Tailoring interactions with external fields for novel quantum phases , 2007, quant-ph/0703031.

[88]  P. Meystre,et al.  Ground-state structure and stability of dipolar condensates in anisotropic traps , 2007, cond-mat/0703044.

[89]  M. Troyer,et al.  Superfluidity of grain boundaries in solid 4He. , 2007, Physical review letters.

[90]  P. Engels,et al.  Observation of faraday waves in a Bose-Einstein condensate. , 2007, Physical review letters.

[91]  I. L. Kurbakov,et al.  Weakly interacting two-dimensional system of dipoles : Limitations of the mean-field theory , 2006, cond-mat/0612691.

[92]  C. P. Sun,et al.  Novel quantum phases of dipolar bose gases in optical lattices. , 2006, Physical review letters.

[93]  P. Zoller,et al.  Designing spin-1 lattice models using polar molecules , 2006, quant-ph/0612180.

[94]  M. Lewenstein,et al.  Metastable states of a gas of dipolar bosons in a 2D optical lattice. , 2006, Physical review letters.

[95]  L. Santos,et al.  Spinor condensates with a laser-induced quadratic Zeeman effect , 2006, cond-mat/0612191.

[96]  J. Cirac,et al.  Quantum emulsion: a glassy phase of bosonic mixtures in optical lattices. , 2006, Physical review letters.

[97]  Yong Baek Kim,et al.  Mott phases and superfluid-insulator transition of dipolar spin-three bosons in an optical lattice: implications for 52 Cr atoms , 2006, cond-mat/0612044.

[98]  Edmond Orignac,et al.  Evidence of Luttinger-liquid behavior in one-dimensional dipolar quantum gases , 2006, cond-mat/0611667.

[99]  Da-wei Wang Quantum phase transitions of polar molecules in bilayer systems. , 2006, Physical review letters.

[100]  Y. Pomeau,et al.  Coexistence of ordinary elasticity and superfluidity in a model of a defect-free supersolid. , 2006, Physical review letters.

[101]  Masahito Ueda,et al.  Can spinor dipolar effects be observed in Bose-Einstein condensates? , 2006, Physical review letters.

[102]  G. Kurizki,et al.  Modification of scattering lengths via magnetic dipole-dipole interactions. , 2006, Physical review letters.

[103]  N. Cooper,et al.  Vortex lattices in Bose-Einstein condensates with dipolar interactions beyond the weak-interaction limit , 2006, cond-mat/0610702.

[104]  A. Pelster,et al.  Bose-Einstein condensation temperature of dipolar gas in anisotropic harmonic trap , 2006, cond-mat/0609374.

[105]  K. Bongs,et al.  Resonant Einstein-de Haas effect in a rubidium condensate. , 2006, Physical review letters.

[106]  S. Wessel,et al.  Supersolids in confined fermions on one-dimensional optical lattices , 2006, cond-mat/0608491.

[107]  Claudia Eberlein,et al.  Vortex in a trapped Bose-Einstein condensate with dipole-dipole interactions , 2006, cond-mat/0608316.

[108]  I. L. Kurbakov,et al.  Quantum phase transition in a two-dimensional system of dipoles. , 2006, Physical review letters.

[109]  S. Ronen,et al.  Radial and angular rotons in trapped dipolar gases. , 2006, Physical review letters.

[110]  P. Zoller,et al.  Strongly correlated 2D quantum phases with cold polar molecules: controlling the shape of the interaction potential. , 2006, Physical review letters.

[111]  M. Lewenstein,et al.  Error-resistant distributed quantum computation in a trapped ion chain , 2006, quant-ph/0607053.

[112]  M. Lewenstein,et al.  Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond , 2006, cond-mat/0606771.

[113]  H. Kleinert,et al.  Critical temperature of weakly interacting dipolar condensates. , 2006, Physical review letters.

[114]  S. Tewari,et al.  Quantum computation using vortices and majorana zero modes of a px + ipy superfluid of fermionic cold atoms. , 2006, Physical review letters.

[115]  E. Cornell,et al.  Measurement of the temperature dependence of the Casimir-Polder force. , 2006, Physical review letters.

[116]  L. Mathey Commensurate mixtures of ultracold atoms in one dimension , 2006, cond-mat/0602616.

[117]  A. M. Martin,et al.  Dynamical instability of a rotating dipolar Bose-Einstein condensate. , 2006, Physical review letters.

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

[119]  New Journal of Physics The , 2007 .

[120]  L. Santos,et al.  Mott-insulator phases of non-locally coupled 1D dipolar Bose gases , 2006, cond-mat/0612522.

[121]  T. Koch,et al.  Demagnetization cooling of a gas , 2006, cond-mat/0610498.

[122]  D. Blume,et al.  Scattering length instability in dipolar Bose-Einstein condensates. , 2006, Physical review letters.

[123]  E. Berg,et al.  Hidden order in 1D bose insulators. , 2006, Physical review letters.

[124]  H. Maris,et al.  Superfluidity of Grain Boundaries and Supersolid Behavior , 2006, Science.

[125]  D. Comparat,et al.  Dipole blockade at Förster resonances in high resolution laser excitation of Rydberg states of cesium atoms. , 2006, Physical review letters.

[126]  M. Lukin,et al.  Quantum fluids of self-assembled chains of polar molecules. , 2006, Physical review letters.

[127]  T. Koch,et al.  Comparing contact and dipolar interactions in a Bose-Einstein condensate. , 2006, Physical review letters.

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

[129]  Masahito Ueda,et al.  Spontaneous circulation in ground-state spinor dipolar Bose-Einstein condensates. , 2006, Physical review letters.

[130]  L. Santos,et al.  Expansion dynamics of a dipolar Bose-Einstein condensate (10 pages) , 2006, cond-mat/0605708.

[131]  M. Chan,et al.  Supersolid helium at high pressure. , 2006, Physical review letters.

[132]  D. Pritchard,et al.  Imaging the Mott Insulator Shells by Using Atomic Clock Shifts , 2006, Science.

[133]  S. Ronen,et al.  Bogoliubov modes of a dipolar condensate in a cylindrical trap (13 pages) , 2006, cond-mat/0605409.

[134]  D. Blume,et al.  Dipolar Bose-Einstein condensates with dipole-dependent scattering length , 2006, cond-mat/0605315.

[135]  R. Scalettar,et al.  Supersolid phases in the one-dimensional extended soft-core bosonic Hubbard model. , 2006, Physical review letters.

[136]  F. Sorrentino,et al.  Long-lived BLOCH oscillations with bosonic sr atoms and application to gravity measurement at the micrometer scale. , 2006, Physical review letters.

[137]  P. Meystre,et al.  Thomas-Fermi ground state of dipolar fermions in a circular storage ring , 2006 .

[138]  M. Oberthaler,et al.  Dynamics of Bose-Einstein condensates in optical lattices , 2006 .

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

[140]  C. Wieman,et al.  Formation of bright matter-wave solitons during the collapse of attractive Bose-Einstein condensates. , 2006, Physical review letters.

[141]  K. Góral,et al.  Production of cold molecules via magnetically tunable Feshbach resonances , 2006, cond-mat/0601420.

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

[143]  Immanuel Bloch,et al.  Resonant control of spin dynamics in ultracold quantum gases by microwave dressing , 2006, cond-mat/0601151.

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

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

[146]  O. Mandel,et al.  Probing number squeezing of ultracold atoms across the superfluid-Mott insulator transition. , 2005, Physical review letters.

[147]  Masahito Ueda,et al.  Einstein-de Haas effect in dipolar Bose-Einstein condensates. , 2005, Physical review letters.

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

[149]  S. Yi,et al.  Vortex structures in dipolar condensates , 2005, cond-mat/0509246.

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

[151]  U. R. Fischer Stability of quasi-two-dimensional Bose-Einstein condensates with dominant dipole-dipole interactions , 2005, cond-mat/0506368.

[152]  Tal Carmon,et al.  Solitons in nonlinear media with an infinite range of nonlocality: first observation of coherent elliptic solitons and of vortex-ring solitons. , 2005 .

[153]  J. Cirac,et al.  Effective spin quantum phases in systems of trapped ions (11 pages) , 2005, quant-ph/0509197.

[154]  A. Derevianko Erratum: Anisotropic pseudopotential for polarized dilute quantum gases [Phys. Rev. A 67, 033607 (2003)] , 2005 .

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

[156]  Massimo Boninsegni,et al.  Supersolid phase of hard-core bosons on a triangular lattice. , 2005, Physical review letters.

[157]  A. Derevianko Revised Huang-Yang multipolar pseudopotential , 2005, cond-mat/0507209.

[158]  A. Arkhipov,et al.  Ground-state properties of a one-dimensional system of dipoles , 2005 .

[159]  Jian Zhang,et al.  Vortex lattices in planar Bose-Einstein condensates with dipolar interactions. , 2005, Physical review letters.

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

[161]  S. Hensler,et al.  Depolarisation cooling of an atomic cloud , 2005, quant-ph/0505096.

[162]  K. Damle,et al.  Persistent supersolid phase of hard-core bosons on the triangular lattice. , 2005, Physical review letters.

[163]  M. Troyer,et al.  Supersolid hard-core bosons on the triangular lattice. , 2005, Physical review letters.

[164]  R. Melko,et al.  Supersolid order from disorder: hard-core bosons on the triangular lattice. , 2005, Physical review letters.

[165]  I. V. Barashenkov,et al.  Two-dimensional solitons on the surface of magnetic fluids. , 2005, Physical review letters.

[166]  O. Mandel,et al.  Spatial quantum noise interferometry in expanding ultracold atom clouds , 2005, Nature.

[167]  J. Stuhler,et al.  Probing the light-induced dipole-dipole interaction in momentum space , 2005, quant-ph/0503156.

[168]  S. Das Sarma,et al.  Quantum phases of the extended Bose-Hubbard hamiltonian: possibility of a supersolid state of cold atoms in optical lattices. , 2005, Physical review letters.

[169]  I. Carusotto,et al.  Sensitive measurement of forces at the micron scale using Bloch oscillations of ultracold atoms. , 2005, Physical review letters.

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

[171]  L. Santos,et al.  Two-dimensional bright solitons in dipolar Bose-Einstein condensates , 2005, EQEC '05. European Quantum Electronics Conference, 2005..

[172]  L. Pryadko,et al.  Supersolids versus phase separation in two-dimensional lattice bosons. , 2004, Physical review letters.

[173]  A. Griesmaier,et al.  Observation of Feshbach resonances in an ultracold gas of 52Cr. , 2004, Physical review letters.

[174]  S. Sinha,et al.  Density wave and supersolid phases of correlated bosons in an optical lattice , 2004, cond-mat/0410512.

[175]  A. Trombettoni,et al.  Nonlinear self-trapping of matter waves in periodic potentials. , 2004, Physical review letters.

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

[177]  S. Giovanazzi,et al.  Exact solution of the Thomas-Fermi equation for a trapped Bose-Einstein condensate with dipole-dipole interactions , 2003, cond-mat/0311100.

[178]  Antonio De Luca,et al.  Routing of anisotropic spatial solitons and modulational instability in liquid crystals , 2004, Nature.

[179]  S. Giovanazzi,et al.  Instabilities and the roton spectrum of a quasi-1D Bose-Einstein condensed gas with dipole-dipole interactions , 2004, cond-mat/0411678.

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

[181]  M. P. Robinson,et al.  Evolution dynamics of a dense frozen Rydberg gas to plasma (10 pages) , 2004 .

[182]  M. Chan,et al.  Observation of Superflow in Solid Helium , 2004, Science.

[183]  J. Cirac,et al.  Bose-Einstein condensation and strong-correlation behavior of phonons in ion traps. , 2004, Physical review letters.

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

[185]  L. You,et al.  Quantum phases of dipolar spinor condensates. , 2004, Physical review letters.

[186]  L. You,et al.  Calibrating dipolar interaction in an atomic condensate. , 2004, Physical review letters.

[187]  M. Willander,et al.  Structural properties of the condensate in two-dimensional mesoscopic systems of strongly correlated excitons , 2004 .

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

[189]  A. Smerzi,et al.  Propagation of sound in a Bose-Einstein condensate in an optical lattice , 2004, cond-mat/0404272.

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

[191]  M. Inguscio,et al.  Atom interferometry with trapped fermi gases. , 2004, Physical review letters.

[192]  P. Treutlein,et al.  Bright Bose-Einstein gap solitons of atoms with repulsive interaction. , 2004, Physical review letters.

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

[194]  M. Chan,et al.  Probable observation of a supersolid helium phase , 2004, Nature.

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

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

[197]  S. Giovanazzi,et al.  Exact hydrodynamics of a trapped dipolar Bose-Einstein condensate. , 2003, Physical review letters.

[198]  A. Kuklov,et al.  Commensurate two-component bosons in an optical lattice: ground state phase diagram. , 2003, Physical review letters.

[199]  M. Lukin,et al.  Probing many-body states of ultracold atoms via noise correlations (4 pages) , 2003, cond-mat/0306226.

[200]  A. Kuklov,et al.  Superfluid-superfluid phase transitions in a two-component Bose-Einstein condensate. , 2003, Physical review letters.

[201]  G. Kurizki,et al.  Squeezing in a dipolar Bose—Einstein condensed gas , 2003 .

[202]  A. Trombettoni,et al.  Superfluid dynamics of a Bose–Einstein condensate in a periodic potential , 2003, cond-mat/0310780.

[203]  Parma,et al.  Nonlinear tight-binding approximation for Bose-Einstein condensates in a lattice , 2003, cond-mat/0309285.

[204]  E. Taylor,et al.  Bogoliubov sound speed in periodically modulated Bose-Einstein condensates , 2003, cond-mat/0308194.

[205]  M. Peccianti,et al.  Route to nonlocality and observation of accessible solitons. , 2003, Physical review letters.

[206]  P. Schmidt,et al.  Dipolar relaxation in an ultra-cold gas of magnetically trapped chromium atoms , 2003, quant-ph/0307184.

[207]  P. Meystre,et al.  Molecular micromaser. , 2003, Physical review letters.

[208]  M. Lukin,et al.  Phase diagram of two-component bosons on an optical lattice , 2003, cond-mat/0306683.

[209]  S. Dimopoulos,et al.  Probing submicron forces by interferometry of Bose-Einstein condensed atoms , 2003, hep-ph/0306168.

[210]  C. Wunderlich,et al.  Quantum Measurements and New Concepts for Experiments with Trapped Ions , 2003, quant-ph/0305129.

[211]  S. Stringari,et al.  Bose-Einstein condensates in 1D optical lattices , 2003, cond-mat/0305300.

[212]  P. Julienne,et al.  Ab initio calculation of the KRb dipole moments , 2003, cond-mat/0305215.

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

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

[215]  M. Lewenstein,et al.  Roton-maxon spectrum and stability of trapped dipolar Bose-Einstein condensates. , 2003, Physical review letters.

[216]  G. Kurizki,et al.  Rotons in gaseous Bose-Einstein condensates irradiated by a laser. , 2003, Physical review letters.

[217]  H. Smith,et al.  Band structure, elementary excitations, and stability of a Bose-Einstein condensate in a periodic potential , 2003, cond-mat/0301012.

[218]  A. Derevianko Anisotropic pseudopotential for polarized dilute quantum gases , 2002, cond-mat/0212597.

[219]  J. Dalibard,et al.  Quadrupole oscillation of a single-vortex Bose-Einstein condensate: evidence for Kelvin modes. , 2002, Physical review letters.

[220]  L. You,et al.  Expansion of a dipolar condensate , 2002, cond-mat/0210677.

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

[222]  P. Maddaloni,et al.  Collective excitations of a trapped Bose-Einstein condensate in the presence of a 1D optical lattice. , 2002, Physical review letters.

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

[224]  S. Longhi,et al.  Faraday patterns in Bose-Einstein condensates , 2002, 2003 European Quantum Electronics Conference. EQEC 2003 (IEEE Cat No.03TH8665).

[225]  N. Rosanov,et al.  Atomic “needles” and “bullets” in Bose-Einstein condensate and the formation of nanosized structures , 2003 .

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

[227]  P. Schmidt,et al.  Continuous loading of cold atoms into a Ioffe–Pritchard magnetic trap , 2002, quant-ph/0211032.

[228]  T. Lahaye,et al.  Buffer-gas cooling of atomic and molecular beams , 2002 .

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

[230]  P. Lushnikov Collapse of Bose-Einstein condensates with dipole-dipole interactions , 2002, cond-mat/0208312.

[231]  H. Häffner,et al.  A Bose-Einstein condensate in an optical lattice , 2002, cond-mat/0206063.

[232]  L. Carr,et al.  Formation of a Matter-Wave Bright Soliton , 2002, Science.

[233]  P. Meystre,et al.  Magnetism in a lattice of spinor Bose-Einstein condensates , 2002, cond-mat/0205319.

[234]  R. Hulet,et al.  Formation and propagation of matter-wave soliton trains , 2002, Nature.

[235]  T. Pfau,et al.  Tuning the dipolar interaction in quantum gases. , 2002, Physical review letters.

[236]  L. Santos,et al.  Ground state and elementary excitations of single and binary Bose-Einstein condensates of trapped dipolar gases , 2002, cond-mat/0203542.

[237]  G. Kurizki,et al.  Density modulations of Bose-Einstein condensates via laser-induced interactions. , 2002, Physical review letters.

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

[239]  S. Stringari,et al.  Macroscopic dynamics of a trapped Bose-Einstein condensate in the presence of 1D and 2D optical lattices. , 2002, Physical review letters.

[240]  Ole Bang,et al.  Collapse arrest and soliton stabilization in nonlocal nonlinear media. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

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

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

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

[244]  M. Lewenstein,et al.  Dynamics of dark solitons in elongated Bose-Einstein condensates. , 2001, Physical review letters.

[245]  L. You,et al.  Probing dipolar effects with condensate shape oscillation , 2001, cond-mat/0111256.

[246]  P. Meystre,et al.  Spin waves in a Bose-Einstein--condensed atomic spin chain. , 2001, Physical review letters.

[247]  C. Pethick,et al.  Bose–Einstein Condensation in Dilute Gases: Appendix. Fundamental constants and conversion factors , 2008 .

[248]  J. H. Müller,et al.  Bloch oscillations and mean-field effects of Bose-Einstein condensates in 1D optical lattices. , 2001, Physical review letters.

[249]  G. Kurizki,et al.  One-dimensional compression of Bose-Einstein condensates by laser-induced dipole-dipole interactions , 2001, cond-mat/0108385.

[250]  P. Maddaloni,et al.  Josephson Junction Arrays with Bose-Einstein Condensates , 2001, Science.

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

[252]  P. Meystre,et al.  Ferromagnetism in a lattice of Bose-Einstein condensates. , 2001, Physical review letters.

[253]  R. Scalettar,et al.  Quantum phase transitions in the two-dimensional hardcore boson model , 2001, cond-mat/0105450.

[254]  C. Wieman,et al.  Dynamics of collapsing and exploding Bose–Einstein condensates , 2001, Nature.

[255]  T. Frederico,et al.  Critical number of atoms for attractive Bose-Einstein condensates with cylindrically symmetrical traps , 2001, cond-mat/0104231.

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

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

[258]  A. Trombettoni,et al.  Discrete solitons and breathers with dilute Bose-Einstein condensates. , 2001, Physical review letters.

[259]  O. Bang,et al.  Modulational instability in nonlocal nonlinear Kerr media. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

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

[261]  C. Wieman,et al.  Controlled collapse of a Bose-Einstein condensate. , 2001, Physical review letters.

[262]  Y. Castin,et al.  Dynamic instability of a rotating Bose-Einstein condensate. , 2001, Physical review letters.

[263]  P. Haljan,et al.  Watching dark solitons decay into vortex rings in a Bose-Einstein condensate. , 2000, Physical review letters.

[264]  Biao Wu,et al.  Landau and dynamical instabilities of the superflow of Bose-Einstein condensates in optical lattices , 2000, cond-mat/0009455.

[265]  L. You,et al.  Trapped condensates of atoms with dipole interactions , 2000, cond-mat/0005054.

[266]  Anatoly Svidzinsky,et al.  Vortices in a trapped dilute Bose-Einstein condensate , 2001, cond-mat/0102003.

[267]  Greene,et al.  Creation of polar and nonpolar ultra-long-range rydberg molecules , 2000, Physical review letters.

[268]  Santos,et al.  Bose-einstein condensation in trapped dipolar gases , 2000, Physical review letters.

[269]  C. Clark,et al.  Dark soliton states of Bose-Einstein condensates in anisotropic traps, , 2000, cond-mat/0004449.

[270]  Rasmussen,et al.  Statistical mechanics of a discrete nonlinear system , 2000, Physical review letters.

[271]  L. You,et al.  Trapped atomic condensates with anisotropic interactions , 2000, cond-mat/0002079.

[272]  Phillips,et al.  Generating solitons by phase engineering of a bose-einstein condensate , 2000, Science.

[273]  G. Kurizki,et al.  Bose-Einstein condensates with 1/r interatomic attraction: electromagnetically induced "gravity". , 1999, Physical review letters.

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

[275]  R. Scalettar,et al.  Phase separation in supersolids , 1999, Physical review letters.

[276]  K. Rzążewski,et al.  Bose-Einstein condensation with magnetic dipole-dipole forces , 1999, cond-mat/9907308.

[277]  N. Read,et al.  Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries and the fractional quantum Hall effect , 1999, cond-mat/9906453.

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

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

[280]  D. Strekalov,et al.  Direct observation of growth and collapse of a Bose–Einstein condensate with attractive interactions , 1998, Nature.

[281]  Stegeman,et al.  Optical Spatial Solitons and Their Interactions: Universality and Diversity. , 1999, Science.

[282]  S. Burger,et al.  Coherent Evolution of Bouncing Bose-Einstein Condensates , 1999, cond-mat/9911309.

[283]  S. Burger,et al.  Dark solitons in Bose-Einstein condensates , 1999, QELS 2000.

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

[285]  C. E. Wieman,et al.  Vortices in a Bose Einstein condensate , 1999, QELS 2000.

[286]  S. Sachdev Quantum Phase Transitions , 1999 .

[287]  E. Hagley,et al.  Four-wave mixing with matter waves , 1999, Nature.

[288]  C. Sackett,et al.  MEASUREMENTS OF COLLECTIVE COLLAPSE IN A BOSE-EINSTEIN CONDENSATE WITH ATTRACTIVE INTERACTIONS , 1999 .

[289]  S. Hensler,et al.  A magneto-optical trap for chromium with population repumping via intercombination lines , 1999 .

[290]  G. Shlyapnikov,et al.  Stability of standing matter waves in a trap , 1998, cond-mat/9811408.

[291]  D. Hennig,et al.  Wave transmission in nonlinear lattices , 1999 .

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

[293]  J. Marden,et al.  Erratum FGF-mediated mesoderm induction involves the Src-family kinase Laloo , 1998, Nature.

[294]  L. You,et al.  CONTROLLING ATOM-ATOM INTERACTION AT ULTRALOW TEMPERATURES BY DC ELECTRIC FIELDS , 1998, quant-ph/9810046.

[295]  J. Jackson Classical Electrodynamics, 3rd Edition , 1998 .

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

[297]  D. Heinzen,et al.  Observation of a Feshbach Resonance in Cold Atom Scattering , 1998 .

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

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

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

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

[302]  Víctor M. Pérez-García,et al.  Dynamics of Bose-Einstein condensates: Variational solutions of the Gross-Pitaevskii equations , 1997 .

[303]  S. Dietrich,et al.  SPATIAL STRUCTURES OF DIPOLAR FERROMAGNETIC LIQUIDS , 1997 .

[304]  G. Valušis,et al.  Direct Measurement of the Spatial Displacement of Bloch‐Oscillating Electrons in Semiconductor Superlattices , 1997 .

[305]  Mordechai Segev,et al.  THREE-DIMENSIONAL SPIRALING OF INTERACTING SPATIAL SOLITONS , 1997 .

[306]  T. Bergeman Calculations of Bose-Einstein Condensation of ^7Li atoms in a Harmonic Trap , 1996, cond-mat/9604075.

[307]  Cirac,et al.  Low Energy Excitations of a Bose-Einstein Condensate: A Time-Dependent Variational Analysis. , 1996, Physical review letters.

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

[309]  M. S. Singh,et al.  Collective Excitations of a Confined Bose Condensate. , 1996, Physical review letters.

[310]  Y. Kivshar,et al.  Observation of vortex solitons created by the instability of dark soliton stripes. , 1996, Optics letters.

[311]  Cornell,et al.  Collective Excitations of a Bose-Einstein Condensate in a Dilute Gas. , 1996, Physical review letters.

[312]  J. Reichel,et al.  Bloch Oscillations of Atoms in an Optical Potential , 1996, EQEC'96. 1996 European Quantum Electronic Conference.

[313]  Wilkinson,et al.  Observation of atomic Wannier-Stark ladders in an accelerating optical potential. , 1996, Physical review letters.

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

[315]  Saffman,et al.  Propagation of dark stripe beams in nonlinear media: Snake instability and creation of optical vortices. , 1996, Physical review letters.

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

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

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

[319]  Cirac,et al.  Cooling of atoms in external fields. , 1995, Physical review. A, Atomic, molecular, and optical physics.

[320]  Patterson,et al.  Buffer-gas loading of atoms and molecules into a magnetic trap. , 1995, Physical review. A, Atomic, molecular, and optical physics.

[321]  J. Loison,et al.  Molecular Axis Orientation by the "Brute Force" Method , 1995 .

[322]  Bradley,et al.  Evidence of Bose-Einstein Condensation in an Atomic Gas with Attractive Interactions. , 1995, Physical review letters.

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

[324]  Holland,et al.  Time-dependent solution of the nonlinear Schrödinger equation for Bose-condensed trapped neutral atoms. , 1995, Physical review. A, Atomic, molecular, and optical physics.

[325]  Kampf,et al.  Supersolids in the Bose-Hubbard Hamiltonian. , 1994, Physical review letters.

[326]  Dietrich,et al.  Long-ranged orientational order in dipolar fluids. , 1994, Physical review letters.

[327]  Y. Pomeau,et al.  Dynamics of a model of supersolid. , 1994, Physical review letters.

[328]  van Otterlo A,et al.  Coexistence of diagonal and off-diagonal long-range order: A Monte Carlo study. , 1993, Physical review letters.

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

[330]  M. Cross,et al.  Pattern formation outside of equilibrium , 1993 .

[331]  Kurz,et al.  Coherent submillimeter-wave emission from Bloch oscillations in a semiconductor superlattice. , 1993, Physical review letters.

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

[333]  Mukhopadhyay,et al.  Intermittent behavior of nuclear multifragments. , 1993, Physical review. C, Nuclear physics.

[334]  Thomas,et al.  Optical investigation of Bloch oscillations in a semiconductor superlattice. , 1992, Physical review. B, Condensed matter.

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

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

[337]  Russell J. Donnelly,et al.  Quantized Vortices in Helium II , 1991 .

[338]  B. Santo,et al.  Solid State , 2012 .

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

[340]  F. Haldane Nonlinear Field Theory of Large-Spin Heisenberg Antiferromagnets: Semiclassically Quantized Solitons of the One-Dimensional Easy-Axis Néel State , 1983 .

[341]  Michael Mehring,et al.  Principles of high-resolution NMR in solids , 1982 .

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

[343]  A. Maradudin,et al.  Some static and dynamical properties of a two-dimensional Wigner crystal , 1977 .

[344]  J. Linnett,et al.  Quantum mechanics , 1975, Nature.

[345]  O. V. Lounasmaa,et al.  Experimental Principles and Methods Below 1K , 1974 .

[346]  P. Gennes,et al.  The physics of liquid crystals , 1974 .

[347]  A. Fetter,et al.  Quantum Theory of Many-Particle Systems , 1971 .

[348]  D. Haar,et al.  Statistical Physics , 1971, Nature.

[349]  G. Chester,et al.  Speculations on Bose-Einstein Condensation and Quantum Crystals , 1970 .

[350]  A. Leggett CAN A SOLID BE SUPERFLUID. , 1970 .

[351]  D. A. Dunnett Classical Electrodynamics , 2020, Nature.

[352]  P. D. Gennes,et al.  Superconductivity of metals and alloys , 1966 .

[353]  C. Slichter Principles of magnetic resonance , 1963 .

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

[355]  A. Messiah Quantum Mechanics , 1961 .

[356]  Kerson Huang,et al.  Quantum-Mechanical Many-Body Problem with Hard-Sphere Interaction , 1957 .

[357]  E. Wigner On the Interaction of Electrons in Metals , 1934 .

[358]  S. W. Thomson,et al.  XXIV. Vibrations of a columnar vortex , 1880 .

[359]  Lord Kelvin,et al.  Vibrations of a columnar vortex , 1880 .

[360]  Physics Reports , 2022 .