Entanglement in many-body systems

Recent interest in aspects common to quantum information and condensed matter has prompted a flurry of activity at the border of these disciplines that were far distant until a few years ago. Numerous interesting questions have been addressed so far. Here an important part of this field, the properties of the entanglement in many-body systems, are reviewed. The zero and finite temperature properties of entanglement in interacting spin, fermion, and boson model systems are discussed. Both bipartite and multipartite entanglement will be considered. In equilibrium entanglement is shown tightly connected to the characteristics of the phase diagram. The behavior of entanglement can be related, via certain witnesses, to thermodynamic quantities thus offering interesting possibilities for an experimental test. Out of equilibrium entangled states are generated and manipulated by means of many-body Hamiltonians.

[1]  La física,et al.  Quantum Phase Transition , 2010 .

[2]  S. Giampaolo,et al.  Determination of ground state properties in quantum spin systems by single qubit unitary operations and entanglement excitation energies , 2006, quant-ph/0611035.

[3]  Jonathan Keeling.  Quantum Magnetism , 2008 .

[4]  Dong Yang,et al.  Entanglement in the scattering process by the spin impurity , 2007 .

[5]  Tian Guang-Shan,et al.  Pairwise Entanglement and Quantum Phase Transitions in Spin Systems , 2007 .

[6]  W. Hofstetter,et al.  Entanglement and criticality in quantum impurity systems. , 2007, Physical review letters.

[7]  P. Samuelsson,et al.  Two-particle spin entanglement in magnetic Anderson nanoclusters , 2007 .

[8]  T. Prosen.  Chaos and complexity of quantum motion , 2007, 0704.2247.

[9]  G. Paz-Silva,et al.  Full Additivity of the Entanglement of Formation , 2007, 0704.1180.

[10]  W. Zurek,et al.  Entropy of entanglement and correlations induced by a quench: Dynamics of a quantum phase transition in the quantum Ising model , 2007, cond-mat/0701768.

[11]  F. Illuminati,et al.  Entanglement in continuous-variable systems: recent advances and current perspectives , 2007, quant-ph/0701221.

[12]  F. Iglói,et al.  Entanglement entropy of aperiodic quantum spin chains , 2007, cond-mat/0701527.

[13]  M. Hastings.  Entropy and entanglement in quantum ground states , 2007, cond-mat/0701055.

[14]  W. Son,et al.  Witnessing macroscopic entanglement in a staggered magnetic field , 2007, quant-ph/0701013.

[15]  A. Vezzani,et al.  Ground-state fidelity and bipartite entanglement in the Bose-Hubbard model. , 2006, Physical review letters.

[16]  P. Facchi,et al.  Multipartite entanglement characterization of a quantum phase transition , 2006, quant-ph/0612098.

[17]  S. Furukawa,et al.  Topological entanglement entropy in the quantum dimer model on the triangular lattice , 2006, cond-mat/0612227.

[18]  A. Kopp,et al.  Universal and measurable entanglement entropy in the spin-boson model. , 2006, Physical review letters.

[19]  J. Eisert,et al.  Statistics dependence of the entanglement entropy. , 2006, Physical review letters.

[20]  P. Giorda,et al.  Entanglement in extended Hubbard models and quantum phase transitions , 2006, cond-mat/0611091.

[21]  O. Legeza,et al.  Entropic analysis of quantum phase transitions from uniform to spatially inhomogeneous phases. , 2006, Physical review letters.

[22]  P. Facchi,et al.  CHARACTERIZING AND MEASURING MULTIPARTITE ENTANGLEMENT , 2006, quant-ph/0610108.

[23]  T. Rudolph,et al.  Reference frames, superselection rules, and quantum information , 2006, quant-ph/0610030.

[24]  F. Franchini,et al.  Ellipses of constant entropy in the XY spin chain , 2006, quant-ph/0609098.

[25]  M. Haque,et al.  Entanglement entropy in fermionic Laughlin states. , 2006, Physical review letters.

[26]  D. Bruß,et al.  Entanglement of collectively interacting harmonic chains: An effective two-dimensional system , 2006, quant-ph/0609044.

[27]  D. Cavalcanti,et al.  Useful entanglement from the Pauli principle , 2006, quant-ph/0608141.

[28]  M. Continentino,et al.  Experimental observation of quantum entanglement in low-dimensional spin systems , 2006, cond-mat/0608403.

[29]  P. Zanardi,et al.  Quantum phase transitions and quantum fidelity in free fermion graphs , 2006, quant-ph/0608059.

[30]  V. Vedral,et al.  Entanglement in single-particle systems , 2006, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[31]  K. Burnett,et al.  Entanglement between atomic condensates in an optical lattice : Effects of interaction range , 2006, quant-ph/0606110.

[32]  V. Roychowdhury,et al.  Boundary effects on entropy and two-site entanglement of the spin-1 valence-bond solid , 2006, quant-ph/0605133.

[33]  F. Illuminati,et al.  Monogamy inequality for distributed gaussian entanglement. , 2006, Physical review letters.

[34]  A. Zagoskin,et al.  A Characterization of Global Entanglement , 2006, Quantum Inf. Process..

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

[36]  P. Giorda,et al.  Entanglement in Correlated Fermionic Systems and Quantum Phase Transitions , 2006 .

[37]  S. Giampaolo,et al.  Characterization of ground state entanglement by single-qubit operations and excitation energies , 2006 .

[38]  S. Dusuel,et al.  Entanglement entropy in collective models , 2006, cond-mat/0610833.

[39]  Mahn‐Soo Choi,et al.  Quantum Dissipative Dynamics of Entanglement in the Spin-Boson Model , 2006, cond-mat/0610449.

[40]  G. Gour.  Entanglement of collaboration , 2006, quant-ph/0610132.

[41]  T. Apollaro,et al.  Entanglement localization by a single defect in a spin chain , 2006, quant-ph/0610055.

[42]  G. Rigolin,et al.  Quantum channels in random spin chains , 2006, quant-ph/0608220.

[43]  L. Amico,et al.  Divergence of the entanglement range in low-dimensional quantum systems , 2006 .

[44]  F. Guinea,et al.  Erratum: Entanglement and dephasing of quantum dissipative systems [Phys. Rev. A 73, 042110 (2006)] , 2006 .

[45]  A. Osterloh,et al.  Enhancement of pairwise entanglement via Z2 symmetry breaking. , 2006, Physical review letters.

[46]  S. Sharma,et al.  The K-way negativities as entanglement measures , 2006, quant-ph/0608062.

[47]  R. Žitko,et al.  Spin qubits in double quantum dots: Entanglement versus the Kondo effect , 2006, quant-ph/0608065.

[48]  T. Prosen,et al.  Dynamics of Loschmidt echoes and fidelity decay , 2006, quant-ph/0607050.

[49]  K. Shimizu,et al.  Approach to the quantum phase transition of spin chains in terms of pair-wise entanglement , 2006 .

[50]  F. Franchini,et al.  Analysis of entropy of XY Spin Chain , 2006, quant-ph/0606240.

[51]  Erik S. Sørensen,et al.  Impurity entanglement entropy and the Kondo screening cloud , 2006, cond-mat/0606705.

[52]  Hai-Qing Lin,et al.  Quantum entanglement in the S=1/2 spin ladder with ring exchange , 2006, quant-ph/0606207.

[53]  V. Korepin,et al.  Entropy of XY Spin Chain and Block Toeplitz Determinants , 2006, quant-ph/0606178.

[54]  S. Dusuel,et al.  Entanglement entropy beyond the free case. , 2006, Physical review letters.

[55]  M. Cozzini,et al.  Ground state fidelity and quantum phase transitions in free Fermi systems , 2006, quant-ph/0606130.

[56]  T. Rudolph,et al.  Observing a coherent superposition of an atom and a molecule , 2006, quant-ph/0606128.

[57]  K. Burnett,et al.  Entanglement in Spin Waves with Binary Dipolar Atoms in a 2D Optical Lattice , 2006 .

[58]  G. Rigolin,et al.  Multipartite entanglement signature of quantum phase transitions. , 2006, Physical review letters.

[59]  P. Zanardi,et al.  Sublattice entanglement and quantum phase transitions in antiferromagnetic spin chains , 2006 .

[60]  I. Bose,et al.  Entangled spin clusters: Some special features , 2006, quant-ph/0606095.

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

[62]  E. Fradkin,et al.  Entanglement entropy of 2D conformal quantum critical points: hearing the shape of a quantum drum. , 2006, Physical review letters.

[63]  V. Roychowdhury,et al.  Boundary Effects to Entropy and Entanglement of the Spin-1 Valence-Bond Solid , 2006 .

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

[65]  T. Takayanagi,et al.  Holographic derivation of entanglement entropy from the anti-de Sitter space/conformal field theory correspondence. , 2006, Physical review letters.

[66]  J. Leinaas,et al.  Geometrical aspects of entanglement , 2006, quant-ph/0605079.

[67]  T. Takayanagi,et al.  Aspects of Holographic Entanglement Entropy , 2006, hep-th/0605073.

[68]  M. Continentino.  Bose–Einstein condensation and entanglement in magnetic systems , 2006, cond-mat/0605148.

[69]  Junpeng Cao,et al.  Entanglement of a degenerate system in adiabatic process , 2006 .

[70]  L. Venuti,et al.  Long-distance entanglement in spin systems. , 2006, Physical review letters.

[71]  J. Liang,et al.  Quantum phase transition of entanglement in Heisenberg spin model with quantized field , 2006 .

[72]  Z. D. Wang,et al.  Thermal entanglement in ferrimagnetic chains , 2006, quant-ph/0604099.

[73]  S. Giampaolo,et al.  Characterizing quantum phase transitions by single qubit operations , 2006, quant-ph/0604047.

[74]  S. Chakravarty,et al.  Replacing energy by von Neumann entropy in quantum phase transitions , 2006, cond-mat/0604152.

[75]  F. Mezzadri,et al.  Comb entanglement in quantum spin chains , 2006, quant-ph/0604016.

[76]  P. Facchi,et al.  Probability-density-function characterization of multipartite entanglement , 2006, quant-ph/0603281.

[77]  F. Plastina,et al.  Scaling behavior of the adiabatic Dicke Model , 2006, quant-ph/0603267.

[78]  Yu Shi,et al.  Bose-Einstein condensation with an entangled order parameter. , 2006, Physical review letters.

[79]  G. Guo,et al.  Robustness of entanglement as a signature of quantum phase transitions , 2006 .

[80]  J. Eisert,et al.  General entanglement scaling laws from time evolution. , 2006, Physical review letters.

[81]  F. Verstraete,et al.  Lieb-Robinson bounds and the generation of correlations and topological quantum order. , 2006, Physical review letters.

[82]  G. Refael,et al.  Measuring entanglement entropies in many-body systems , 2006, cond-mat/0603004.

[83]  R. Rossignoli,et al.  Global entanglement in XXZ chains , 2006, 1112.1279.

[84]  D. Fursaev.  Entanglement entropy in critical phenomena and analog models of quantum gravity , 2006, hep-th/0602134.

[85]  S. Bose,et al.  Entanglement and dynamics of spin chains in periodically pulsed magnetic fields: accelerator modes. , 2006, Physical review letters.

[86]  S. Haas,et al.  Scaling behavior of entanglement in two- and three-dimensional free-fermion systems , 2006, quant-ph/0602094.

[87]  U. Schollwoeck,et al.  Entanglement scaling in critical two-dimensional fermionic and bosonic systems , 2006, cond-mat/0602077.

[88]  F. Verstraete,et al.  Numerical Computation of Localizable Entanglement in Spin Chains , 2006 .

[89]  Jaewan Kim,et al.  Entanglement of an impurity and conduction spins in the Kondo model , 2006, quant-ph/0601166.

[90]  R. Weston.  The entanglement entropy of solvable lattice models , 2006, math-ph/0601038.

[91]  A. Doherty,et al.  Entanglement of indistinguishable particles in condensed-matter physics (12 pages) , 2006, quant-ph/0601079.

[92]  Y. Hatsugai,et al.  Entanglement entropy and the Berry phase in the solid state , 2006, cond-mat/0601237.

[93]  J. Cardy,et al.  Time dependence of correlation functions following a quantum quench. , 2006, Physical review letters.

[94]  Shiqun Zhu,et al.  Thermal entanglement in a two-dimensional Heisenberg XY model , 2006 .

[95]  L. Levitov,et al.  Entropy and correlation functions of a driven quantum spin chain (15 pages) , 2005, cond-mat/0512689.

[96]  U. V. Poulsen,et al.  Infinite qubit rings with maximal nearest-neighbor entanglement: The Bethe ansatz solution , 2005, quant-ph/0512214.

[97]  D. Kaszlikowski,et al.  Detecting entanglement with a thermometer , 2005, quant-ph/0512181.

[98]  Erik S. Sørensen,et al.  Boundary effects in the critical scaling of entanglement entropy in 1D systems. , 2005, Physical review letters.

[99]  R. Spekkens,et al.  Entanglement of assistance is not a bipartite measure nor a tripartite monotone , 2005, quant-ph/0512139.

[100]  Daniel A. Lidar,et al.  Linking entanglement and quantum phase transitions via density-functional theory , 2005, quant-ph/0512031.

[101]  F. Guinea,et al.  Entanglement and dephasing of quantum dissipative systems , 2005, quant-ph/0512007.

[102]  U. Schollwoeck,et al.  Entanglement and boundary critical phenomena , 2005, cond-mat/0511732.

[103]  H. Narnhofer,et al.  Maximizing nearest-neighbor entanglement in finitely correlated qubit chains (11 pages) , 2005, quant-ph/0511249.

[104]  M. Kindermann.  Proposal of an experimentally accessible measure of many-fermion entanglement. , 2005, Physical review letters.

[105]  F. Plastina,et al.  Entanglement of a qubit coupled to a resonator in the adiabatic regime (6 pages) , 2005, quant-ph/0511204.

[106]  M. Plenio,et al.  Excitation and entanglement transfer versus spectral gap , 2005, quant-ph/0511185.

[107]  L. Amico,et al.  Entanglement crossover close to a quantum critical point , 2005, cond-mat/0511466.

[108]  P. Zanardi,et al.  Coupling bosonic modes with a qubit : entanglement dynamics at zero and finite temperatures , 2005, quant-ph/0511114.

[109]  Hai-Qing Lin,et al.  Block-block entanglement and quantum phase transitions in the one-dimensional extended Hubbard model , 2005, quant-ph/0511103.

[110]  O. Legeza,et al.  Two-site entropy and quantum phase transitions in low-dimensional models. , 2005, Physical review letters.

[111]  G. Tóth,et al.  Energy and multipartite entanglement in multidimensional and frustrated spin models , 2005, quant-ph/0510186.

[112]  Xiao-Gang Wen,et al.  Detecting topological order in a ground state wave function. , 2005, Physical review letters.

[113]  J. Preskill,et al.  Topological entanglement entropy. , 2005, Physical review letters.

[114]  R. McKenzie,et al.  Quantum entanglement in the two-impurity Kondo model (7 pages) , 2005, quant-ph/0509207.

[115]  Xiaoqun Wang,et al.  Critical entanglement of XXZ Heisenberg chains with defects , 2005, cond-mat/0509338.

[116]  Hai-Qing Lin,et al.  Local entanglement and quantum phase transition in spin models , 2005, quant-ph/0509070.

[117]  J. Eisert,et al.  Half the entanglement in critical systems is distillable from a single specimen , 2005, quant-ph/0509023.

[118]  L. Venuti,et al.  Local measures of entanglement and critical exponents at quantum phase transitions , 2005, quant-ph/0508236.

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

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

[121]  L. Viola,et al.  Multipartite entanglement generation and fidelity decay in disordered qubit systems , 2005, quant-ph/0507099.

[122]  A. Osterloh,et al.  ENTANGLEMENT MONOTONES AND MAXIMALLY ENTANGLED STATES IN MULTIPARTITE QUBIT SYSTEMS , 2005, quant-ph/0506073.

[123]  J. Luque,et al.  Algebraic invariants of five qubits , 2005, quant-ph/0506058.

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

[125]  T. Roscilde,et al.  Reading entanglement in terms of spin configurations in quantum magnets , 2005, cond-mat/0505280.

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

[127]  T. V'ertesi,et al.  Thermal entanglement in the nanotubular system Na 2 V 3 O 7 , 2005, cond-mat/0503726.

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

[129]  A. Montorsi,et al.  Single-site entanglement at the superconductor-insulator transition in the Hirsch model , 2005, cond-mat/0503600.

[130]  F. Verstraete,et al.  General monogamy inequality for bipartite qubit entanglement. , 2005, Physical review letters.

[131]  A. Zeilinger,et al.  Crucial role of quantum entanglement in bulk properties of solids (4 pages) , 2004, quant-ph/0410138.

[132]  F. Illuminati,et al.  Continuous variable tangle, monogamy inequality, and entanglement sharing in Gaussian states of continuous variable systems , 2004, quant-ph/0410050.

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

[134]  G. Ghirardi,et al.  Identical particles and entanglement , 2005, quant-ph/0509195.

[135]  J. Eisert,et al.  Correlations, spectral gap and entanglement in harmonic quantum systems on generic lattices , 2005, quant-ph/0509167.

[136]  L. Viola,et al.  Description of Quantum Entanglement with Nilpotent Polynomials , 2005, quant-ph/0508234.

[137]  Lifa Zhang,et al.  Entanglement of periodic anisotropic XY chains , 2005 .

[138]  M. Fleischhauer,et al.  Many-particle entanglement in the gaped antiferromagnetic Lipkin model , 2005 .

[139]  M. Katsnelson,et al.  Quantum entanglement dynamics and decoherence wave in spin chains at finite temperatures , 2005, quant-ph/0507266.

[140]  R. Rossignoli,et al.  Global thermal entanglement in n-qubit systems , 2005, 1312.7370.

[141]  S. Haas,et al.  Quantum Monte Carlo Study of Entanglement in Quantum Spin Systems , 2005 .

[142]  J. Eisert,et al.  Single-copy entanglement in critical quantum spin chains , 2005, quant-ph/0506250.

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

[144]  M. Fleischhauer,et al.  Entanglement and criticality in translationally invariant harmonic lattice systems with finite-range interactions. , 2005, Physical review letters.

[145]  F. Illuminati,et al.  Gaussian measures of entanglement versus negativities: Ordering of two-mode Gaussian states , 2005, quant-ph/0506124.

[146]  S. Lloyd,et al.  Entanglement and off-diagonal long-range order of an η-pairing state , 2005 .

[147]  Ireland,et al.  Superballistic diffusion of entanglement in disordered spin chains , 2005, quant-ph/0506053.

[148]  D. Cavalcanti,et al.  How to fool the GHZ and W witnesses , 2005, quant-ph/0506035.

[149]  Č. Brukner,et al.  A scheme for entanglement extraction from a solid , 2005, quant-ph/0505107.

[150]  S. Kais,et al.  DYNAMICS OF ENTANGLEMENT FOR ONE-DIMENSIONAL SPIN SYSTEMS IN AN EXTERNAL TIME-DEPENDENT MAGNETIC FIELD , 2005, quant-ph/0505101.

[151]  V. Vedral,et al.  Increasing identical particle entanglement by fuzzy measurements , 2005, quant-ph/0505029.

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

[153]  N. Laflorencie.  Scaling of Entanglement Entropy in the Random Singlet Phase , 2005, cond-mat/0504446.

[154]  S. Gu,et al.  Fermionic Concurrence in the Extended Hubbard Model , 2005 .

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

[156]  Paolo Zanardi,et al.  Ground state entanglement and geometric entropy in the Kitaev model , 2005 .

[157]  V. Buzek,et al.  Direct versus measurement-assisted bipartite entanglement in multiqubit systems and their dynamical generation in spin systems , 2005, quant-ph/0503133.

[158]  M. Wiesniak,et al.  Magnetic susceptibility as a macroscopic entanglement witness , 2005, quant-ph/0503037.

[159]  L. Venuti,et al.  Analytic relations between localizable entanglement and string correlations in spin systems. , 2005, Physical review letters.

[160]  A. Schofield,et al.  Quantum criticality , 2005, Nature.

[161]  G. Tóth,et al.  Multipartite entanglement in spin chains , 2005, quant-ph/0502160.

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

[163]  Č. Brukner,et al.  Natural multiparticle entanglement in a Fermi gas. , 2005, Physical review letters.

[164]  F. Mezzadri,et al.  Entanglement in quantum spin chains, symmetry classes of random matrices, and conformal field theory. , 2005, Physical review letters.

[165]  I. Peschel.  Entanglement entropy with interface defects , 2005, cond-mat/0502034.

[166]  R. Orús.  Entanglement and majorization in (1+1)-dimensional quantum systems (7 pages) , 2005, quant-ph/0501110.

[167]  He-Shan Song,et al.  Multipartite entanglement measure , 2005, quant-ph/0501079.

[168]  Xiaoguang Wang,et al.  Entanglement in spin-1 Heisenberg chains , 2005, quant-ph/0501032.

[169]  J. Liang,et al.  Thermal entanglement in two qutrits system , 2005 .

[170]  V. Eisler,et al.  Entanglement in the XX spin chain with an energy current (4 pages) , 2004, quant-ph/0412118.

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

[172]  Daniel A. Lidar,et al.  Entanglement observables and witnesses for interacting quantum spin systems , 2004, quant-ph/0412099.

[173]  S. Dusuel,et al.  Continuous unitary transformations and finite-size scaling exponents in the Lipkin-Meshkov-Glick model , 2004, cond-mat/0412127.

[174]  N. Datta,et al.  Multipartite entanglement in quantum spin chains , 2004, quant-ph/0411080.

[175]  J I Cirac,et al.  Renormalization-group transformations on quantum states. , 2004, Physical review letters.

[176]  R. Mann,et al.  Alice falls into a black hole: entanglement in noninertial frames. , 2004, Physical review letters.

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

[178]  A. Osterloh,et al.  Constructing N-qubit entanglement monotones from antilinear operators (4 pages) , 2004, quant-ph/0410102.

[179]  A. Winter,et al.  Quantum, classical, and total amount of correlations in a quantum state , 2004, quant-ph/0410091.

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

[181]  P. Zanardi,et al.  Bipartite entanglement and entropic boundary law in lattice spin systems (10 pages) , 2004, quant-ph/0409073.

[182]  Hai-Qing Lin,et al.  Ground-state entanglement in the XXZ model , 2004, quant-ph/0408101.

[183]  G. Rigolin,et al.  Effects of the interplay between interaction and disorder in bipartite entanglement , 2004, quant-ph/0408062.

[184]  R. Somma,et al.  Exactly-solvable models derived from a generalized Gaudin algebra , 2004, cond-mat/0407429.

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

[186]  N. Johnson,et al.  Direct equivalence between quantum phase transition phenomena in radiation-matter and magnetic systems: Scaling of entanglement , 2004, cond-mat/0406674.

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

[188]  G. Tóth.  Entanglement witnesses in spin models , 2004, quant-ph/0406061.

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

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

[191]  C. Emary,et al.  Entanglement and entropy in a spin-boson quantum phase transition (8 pages) , 2004, quant-ph/0405109.

[192]  M. Dykman,et al.  Strong many-particle localization and quantum computing with perpetually coupled qubits , 2004, quant-ph/0405013.

[193]  G. Vidal,et al.  Fine grained entanglement loss along renormalization group flows , 2004, quant-ph/0404120.

[194]  V. Popkov,et al.  Logarithmic divergence of the block entanglement entropy for the ferromagnetic Heisenberg model , 2004, quant-ph/0404026.

[195]  S. J. Akhtarshenas.  Concurrence vectors in arbitrary multipartite quantum systems , 2003, quant-ph/0311166.

[196]  John Ellis,et al.  Int. J. Mod. Phys. , 2005 .

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

[198]  F. Verstraete,et al.  Localizable Entanglement , 2004, quant-ph/0411123.

[199]  J. Pratt.  Universality in the entanglement structure of ferromagnets. , 2004, Physical review letters.

[200]  V. Vedral.  The Meissner effect and massive particles as witnesses of macroscopic entanglement , 2004, quant-ph/0410021.

[201]  V. Buzek,et al.  Quantum-information approach to the Ising model: Entanglement in chains of qubits , 2004 .

[202]  A. Lakshminarayan,et al.  Multipartite entanglement in a one-dimensional time-dependent Ising model , 2004, quant-ph/0409039.

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

[204]  V. Kashurnikov,et al.  Effect of anisotropy on the entanglement of quantum states in a spin chain , 2004 .

[205]  P. Hawrylak,et al.  Interacting Electrons and Holes in Quasi-2D Quantum Dots in Strong Magnetic Fields , 2004 .

[206]  G. Levine.  Entanglement entropy in a boundary impurity model. , 2004, Physical review letters.

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

[208]  Vladimir E. Korepin,et al.  Quantum Spin Chain, Toeplitz Determinants and the Fisher—Hartwig Conjecture , 2004 .

[209]  V. Braun,et al.  INTEGRABILITY IN QCD AND BEYOND , 2004, hep-th/0407232.

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

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

[212]  G. Refael,et al.  Entanglement entropy of random quantum critical points in one dimension. , 2004, Physical review letters.

[213]  J. Vidal,et al.  Entanglement dynamics in the Lipkin-Meshkov-Glick model (10 pages) , 2004, cond-mat/0406481.

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

[215]  F. Illuminati,et al.  Quantification and scaling of multipartite entanglement in continuous variable systems. , 2004, Physical review letters.

[216]  Č. Brukner,et al.  Macroscopic Thermodynamical Witnesses of Quantum Entanglement , 2004, quant-ph/0406040.

[217]  Vlatko Vedral,et al.  High-temperature macroscopic entanglement , 2004, quant-ph/0405102.

[218]  H. Casini,et al.  A finite entanglement entropy and the c-theorem , 2004, hep-th/0405111.

[219]  V. Karimipour,et al.  Thermal entanglement of spins in the Heisenberg model at low temperatures , 2004, quant-ph/0405060.

[220]  S. Pittel,et al.  Colloquium: Exactly solvable Richardson-Gaudin models for many-body quantum systems , 2004, nucl-th/0405011.

[221]  B. Sanders,et al.  Entanglement Dynamics in Chaotic Systems , 2004, quant-ph/0404171.

[222]  P. Goldbart,et al.  Connections between relative entropy of entanglement and geometric measure of entanglement , 2004, Quantum Inf. Comput..

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

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

[225]  F. Verstraete,et al.  Quantum entanglement theory in the presence of superselection rules (15 pages) , 2004, quant-ph/0404079.

[226]  Jaewan Kim,et al.  Entanglement of electron spins of noninteracting electron gases , 2004, quant-ph/0403214.

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

[228]  F. Benatti,et al.  Entanglement generation in the Unruh effect , 2004, quant-ph/0403157.

[229]  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.

[230]  E. Knill,et al.  Nature and measure of entanglement in quantum phase transitions (21 pages) , 2004, quant-ph/0403035.

[231]  Sabre Kais,et al.  Entanglement of formation for one-dimensional magnetic systems with defects , 2004 .

[232]  F. Illuminati,et al.  Extremal entanglement and mixedness in continuous variable systems , 2004, quant-ph/0402124.

[233]  J. Eisert,et al.  Dynamics and manipulation of entanglement in coupled harmonic systems with many degrees of freedom , 2004, quant-ph/0402004.

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

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

[236]  Xiaoguang Wang.  Boundary and impurity effects on the entanglement of Heisenberg chains. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[237]  O. Syljuåsen.  Concurrence in the two-dimensional XXZ- and transverse field Ising-models , 2003, quant-ph/0312101.

[238]  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.

[239]  A. Jordan,et al.  Entanglement energetics at zero temperature. , 2003, Physical review letters.

[240]  F. Verstraete,et al.  Valence-bond states for quantum computation , 2003, quant-ph/0311130.

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

[242]  P. Zanardi,et al.  Ground-state entanglement in interacting bosonic graphs , 2003, quant-ph/0311058.

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

[244]  A. J. Scott.  Multipartite entanglement, quantum-error-correcting codes, and entangling power of quantum evolutions , 2003, quant-ph/0310137.

[245]  J I Cirac,et al.  Nonlocal resources in the presence of superselection rules. , 2003, Physical review letters.

[246]  T. Hikihara,et al.  Correlation amplitudes for the spin- 1 2 XXZ chain in a magnetic field , 2003, cond-mat/0310391.

[247]  G. Vidal.  Efficient simulation of one-dimensional quantum many-body systems. , 2003, Physical review letters.

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

[249]  G. Casati,et al.  Entanglement echoes in quantum computation , 2003, quant-ph/0309146.

[250]  T. M. Rice,et al.  Field- and pressure-induced magnetic quantum phase transitions in TlCuCl3 , 2003, cond-mat/0309440.

[251]  N. Datta,et al.  Perfect state transfer in quantum spin networks. , 2003, Physical review letters.

[252]  J. Vaccaro,et al.  Ferreting out the fluffy bunnies: Entanglement constrained by generalized super-selection rules. , 2003, quant-ph/0309046.

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

[254]  M. Nielsen,et al.  Entanglement, correlations, and the energy gap in many-body quantum systems (11 pages) , 2003, quant-ph/0308083.

[255]  V. Subrahmanyam.  Entanglement dynamics and quantum-state transport in spin chains (4 pages) , 2003, quant-ph/0307135.

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

[257]  A. Osterloh,et al.  Dynamics of entanglement in one-dimensional spin systems (24 pages) , 2003, quant-ph/0307048.

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

[259]  O. Gühne.  Characterizing entanglement via uncertainty relations. , 2003, Physical review letters.

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

[261]  F. Verstraete,et al.  The moduli space of three-qutrit states , 2003, quant-ph/0306122.

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

[263]  M. Hastings.  Lieb-Schultz-Mattis in higher dimensions , 2003, cond-mat/0305505.

[264]  E. Knill,et al.  A subsystem-independent generalization of entanglement. , 2003, Physical review letters.

[265]  Yu Shi.  Quantum entanglement in second-quantized condensed matter systems , 2002, quant-ph/0204058.

[266]  S. Braunstein,et al.  Quantum Information with Continuous Variables , 2004, quant-ph/0410100.

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

[268]  G. Rigolin.  THERMAL ENTANGLEMENT IN THE TWO-QUBIT HEISENBERG XYZ MODEL , 2003, quant-ph/0311185.

[269]  E. Fradkin,et al.  Topological Order and Conformal Quantum Critical Points , 2003, cond-mat/0311466.

[270]  F. Verstraete,et al.  ENTANGLEMENT AND FRUSTRATION IN ORDERED SYSTEMS , 2003, quant-ph/0311051.

[271]  Vladimir E. Korepin,et al.  Localizable entanglement in antiferromagnetic spin chains , 2003 .

[272]  G. Aeppli,et al.  Entangled quantum state of magnetic dipoles , 2003, Nature.

[273]  R. McKenzie,et al.  Entanglement between a qubit and the environment in the spin-boson model , 2003 .

[274]  V. Vedral.  Quantum physics: Entanglement hits the big time , 2003, Nature.

[275]  M. Lewenstein,et al.  FINITE SIZE EFFECTS IN ENTANGLED RINGS OF QUBITS , 2003, quant-ph/0308082.

[276]  P. Goldbart,et al.  Geometric measure of entanglement and applications to bipartite and multipartite quantum states , 2003, quant-ph/0307219.

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

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

[279]  G. Benenti,et al.  Dynamics of entanglement in quantum computers with imperfections. , 2003, Physical review letters.

[280]  M. Vojta,et al.  Numerical renormalization group for bosonic systems and application to the sub-ohmic spin-boson model. , 2003, Physical review letters.

[281]  M. Fannes,et al.  Entropy growth of shift-invariant states on a quantum spin chain , 2003, math-ph/0306055.

[282]  R. Quinn,et al.  Large-scale steady-state structure of a 2D plasma crystal , 2003 .

[283]  A. Osterloh,et al.  Out of equilibrium correlation functions of quantum anisotropic XY models: one-particle excitations , 2003, cond-mat/0306285.

[284]  Sabre Kais,et al.  Tuning the entanglement for a one-dimensional magnetic system with anisotropic coupling and impurities , 2003 .

[285]  H. Fehske,et al.  Entanglement and correlation in anisotropic quantum spin systems , 2003, quant-ph/0305108.

[286]  G. Brennen.  An observable measure of entanglement for pure states of multi-qubit systems , 2003, Quantum Inf. Comput..

[287]  E. Briand,et al.  A complete set of covariants of the four qubit system , 2003, quant-ph/0304026.

[288]  M. Fleischhauer,et al.  Decoherence-free generation of many-particle entanglement by adiabatic ground-state transitions. , 2003, Physical review letters.

[289]  L. F. Santos.  Entanglement in quantum computers described by the XXZ model with defects , 2003, quant-ph/0303157.

[290]  H. Wiseman,et al.  Entanglement constrained by superselection rules. , 2003, Physical review letters.

[291]  Paul M. Alsing,et al.  Teleportation with a uniformly accelerated partner , 2003, SPIE International Symposium on Fluctuations and Noise.

[292]  V. Vedral,et al.  Entanglement in the second quantization formalism , 2003, quant-ph/0302040.

[293]  F Verstraete,et al.  Quantum nonlocality in the presence of superselection rules and data hiding protocols. , 2003, Physical review letters.

[294]  B. Sanders,et al.  Spin squeezing and pairwise entanglement for symmetric multiqubit states , 2003, quant-ph/0302014.

[295]  D. Shepelyansky,et al.  Entanglement versus relaxation and decoherence in a quantum algorithm for quantum chaos , 2003, quant-ph/0301086.

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

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

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

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

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

[301]  John K. Stockton,et al.  Characterizing the entanglement of symmetric many-particle spin-1/2 systems , 2002, quant-ph/0210117.

[302]  J. Vaccaro,et al.  The entanglement of indistinguishable particles shared between two parties , 2002, 2003 European Quantum Electronics Conference. EQEC 2003 (IEEE Cat No.03TH8665).

[303]  G. Milburn,et al.  Entanglement of two-mode Bose-Einstein condensates , 2002, quant-ph/0209122.

[304]  A. Saguia,et al.  Entanglement in the one-dimensional Kondo necklace model , 2002, quant-ph/0208133.

[305]  E. Knill,et al.  Generalizations of entanglement based on coherent states and convex sets , 2002, quant-ph/0207149.

[306]  Clive Emary,et al.  Quantum chaos triggered by precursors of a quantum phase transition: the dicke model. , 2002, Physical review letters.

[307]  J. Cirac,et al.  Simulation of quantum dynamics with quantum optical systems , 2002, Quantum Inf. Comput..

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

[309]  De Raedt,et al.  Destruction of the Kondo effect by a local measurement , 2002, cond-mat/0205540.

[310]  W. Zurek.  Decoherence, einselection, and the quantum origins of the classical , 2001, quant-ph/0105127.

[311]  B. Moor,et al.  Normal forms and entanglement measures for multipartite quantum states , 2001, quant-ph/0105090.

[312]  A. Kitaev,et al.  Fault tolerant quantum computation by anyons , 1997, quant-ph/9707021.

[313]  D. Bruß,et al.  On the Entanglement Structure in Quantum Cloning , 2002, quant-ph/0212059.

[314]  M. Wadati,et al.  Multipartite entanglement and hyperdeterminants , 2002, Quantum Inf. Comput..

[315]  Z. Gedik.  Quantum entanglement and order parameter in a paired finite Fermi system , 2002, cond-mat/0209079.

[316]  S. Bose,et al.  Mediated entanglement and correlations in a star network of interacting spins , 2002, quant-ph/0208114.

[317]  T. Stauber,et al.  Equilibrium correlation functions of the spin-boson model with sub-Ohmic bath , 2002, cond-mat/0207414.

[318]  A. Osterloh,et al.  Quasi-classical descendants of disordered vertex models with boundaries , 2002, cond-mat/0206521.

[319]  S. Lukyanov,et al.  Long-distance asymptotics of spin–spin correlation functions for the XXZ spin chain , 2002, hep-th/0206093.

[320]  G. Ghirardi,et al.  Entanglement and properties , 2002, quant-ph/0206021.

[321]  A. Klyachko.  Coherent states, entanglement, and geometric invariant theory , 2002, quant-ph/0206012.

[322]  Xiaoguang Wang.  Threshold temperature for pairwise and many-particle thermal entanglement in the isotropic Heisenberg model , 2002, quant-ph/0205049.

[323]  K. Audenaert,et al.  Entanglement properties of the harmonic chain , 2002, quant-ph/0205025.

[324]  Xiaoguang Wang.  Thermal and ground-state entanglement in Heisenberg XX qubit rings , 2002, quant-ph/0203141.

[325]  Jayendra N. Bandyopadhyay,et al.  Testing statistical bounds on entanglement using quantum chaos. , 2002, Physical review letters.

[326]  G. Milburn,et al.  Entanglement in the steady state of a collective-angular-momentum (Dicke) model , 2002 .

[327]  M. Lewenstein,et al.  Quantum Correlations in Systems of Indistinguishable Particles , 2002, quant-ph/0203060.

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

[329]  A. Sandvik,et al.  Quantum Monte Carlo with directed loops. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

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

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

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

[333]  C. Simon.  Natural Entanglement in Bose-Einstein Condensates , 2001, quant-ph/0110114.

[334]  B. Moor,et al.  Four qubits can be entangled in nine different ways , 2001, quant-ph/0109033.

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

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

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

[338]  V. Vedral.  The role of relative entropy in quantum information theory , 2001, quant-ph/0102094.

[339]  D. Bruß.  Characterizing Entanglement , 2001, quant-ph/0110078.

[340]  G. Ghirardi,et al.  Entanglement and Properties of Composite Quantum Systems: A Conceptual and Mathematical Analysis , 2001, quant-ph/0109017.

[341]  M. Horodecki,et al.  Concurrence in arbitrary dimensions , 2001, quant-ph/0107147.

[342]  G. Benenti,et al.  Efficient quantum computing of complex dynamics. , 2001, Physical review letters.

[343]  L. You,et al.  Quantum correlations in two-boson wave functions , 2001, quant-ph/0106117.

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

[345]  L. You,et al.  Creating massive entanglement of Bose-Einstein condensed atoms. , 2001, Physical review letters.

[346]  G. Long,et al.  Entanglement in a two-identical-particle system , 2001, quant-ph/0104101.

[347]  W. Munro,et al.  Maximizing the entanglement of two mixed qubits , 2001, quant-ph/0103113.

[348]  P. Knight,et al.  Subsystem purity as an enforcer of entanglement. , 2001, Physical review letters.

[349]  M. Lewenstein,et al.  Classification of mixed three-qubit states. , 2001, Physical review letters.

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

[351]  G. J. Milburn,et al.  Institute for Mathematical Physics Universal State Inversion and Concurrence in Arbitrary Dimensions Universal State Inversion and Concurrence in Arbitrary Dimensions , 2022 .

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

[353]  J. Cirac,et al.  Quantum correlations in two-fermion systems , 2000, quant-ph/0012094.

[354]  B. Moor,et al.  Maximally entangled mixed states of two qubits , 2000, quant-ph/0011110.

[355]  Klaus Mølmer,et al.  Entanglement and extreme spin squeezing. , 2000, Physical review letters.

[356]  R. Fazio,et al.  Quantum phase transitions and vortex dynamics in superconducting networks , 2000, cond-mat/0011152.

[357]  L. Amico,et al.  The BCS model and the off-shell Bethe ansatz for vertex models , 2000, cond-mat/0010349.

[358]  N. Christensen,et al.  Potential multiparticle entanglement measure , 2000, quant-ph/0010052.

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

[360]  J. Schliemann,et al.  Double-occupancy errors, adiabaticity, and entanglement of spin qubits in quantum dots , 2000, cond-mat/0009083.

[361]  C. K. Law,et al.  Coherent control of spin squeezing , 2000, quant-ph/0007056.

[362]  B. Moor,et al.  Variational characterizations of separability and entanglement of formation , 2000, quant-ph/0006128.

[363]  J. Cirac,et al.  Many-particle entanglement with Bose–Einstein condensates , 2000, Nature.

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

[365]  William K. Wootters,et al.  Entanglement of formation and concurrence , 2001, Quantum Inf. Comput..

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

[367]  A. Kocharian,et al.  Phase transitions and exact ground-state properties of the one-dimensional Hubbard model in a magnetic field , 2000 .

[368]  T. Hiroshima,et al.  Maximally entangled mixed states under nonlocal unitary operations in two qubits , 2000 .

[369]  J. Cirac,et al.  Three qubits can be entangled in two inequivalent ways , 2000, quant-ph/0005115.

[370]  J. Cirac,et al.  Optimization of entanglement witnesses , 2000, quant-ph/0005014.

[371]  Georgeot,et al.  Emergence of quantum chaos in the quantum computer core and how to manage it , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[372]  S. Virmani,et al.  Ordering states with entanglement measures , 1999, quant-ph/9911119.

[373]  A. Uhlmann.  Fidelity and Concurrence of conjugated states , 1999, quant-ph/9909060.

[374]  Simón.  Peres-horodecki separability criterion for continuous variable systems , 1999, Physical review letters.

[375]  Charles H. Bennett,et al.  Exact and asymptotic measures of multipartite pure-state entanglement , 1999, Physical Review A.

[376]  Adams,et al.  Triplet waves in a quantum spin liquid , 1999, Physical review letters.

[377]  V. Korepin,et al.  Solution of the quantum inverse problem , 1999, hep-th/9910253.

[378]  P. Miller,et al.  Signatures of chaos in the entanglement of two coupled quantum kicked tops. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

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

[380]  J. Preskill.  Quantum information and physics: Some future directions , 1999, quant-ph/9904022.

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

[382]  Minoru Takahashi.  Thermodynamics of One-Dimensional Solvable Models , 1999 .

[383]  I. Peschel,et al.  Density‐matrix spectra for integrable models , 1998, cond-mat/9810174.

[384]  A. Sandvik,et al.  Possible Exotic Phases in the One-Dimensional Extended Hubbard Model , 1998, cond-mat/9810010.

[385]  S. Lukyanov.  Correlation amplitude for the XXZ spin chain in the disordered regime , 1998, cond-mat/9809254.

[386]  National Institute of Standards,et al.  Characterization of a quasi-one-dimensional spin-1/2 magnet which is gapless and paramagnetic for g μ B H ≲ J and k B T ≪ J , 1998, cond-mat/9809068.

[387]  Wolfgang Dür,et al.  Quantum Repeaters: The Role of Imperfect Local Operations in Quantum Communication , 1998 .

[388]  M. Plenio,et al.  Teleportation, entanglement and thermodynamics in the quantum world , 1998 .

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

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

[391]  N. Kitanine,et al.  Form factors of the XXZ Heisenberg spin-1/2 finite chain , 1998, math-ph/9807020.

[392]  Vlatko Vedral,et al.  Entanglement in Quantum Information Theory , 1998, quant-ph/9804075.

[393]  M. Horodecki,et al.  Mixed-State Entanglement and Distillation: Is there a “Bound” Entanglement in Nature? , 1998, quant-ph/9801069.

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

[395]  Richard J. Hughes,et al.  The Los Alamos Trapped Ion Quantum Computer Experiment , 1997, quant-ph/9708050.

[396]  M. Lewenstein,et al.  Separability and entanglement of composite quantum systems , 1997, quant-ph/9707043.

[397]  M. Sigrist,et al.  The ground-state phase diagram of the one-dimensional Kondo lattice model , 1997 .

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

[399]  N. Mermin.  Quantum theory: Concepts and methods , 1997 .

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

[401]  S. Lukyanov,et al.  Exact expectation values of local fields in the quantum sine-Gordon model , 1996, hep-th/9611238.

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

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

[404]  S. Kehrein,et al.  On the spin-boson model with a sub-ohmic bath , 1996, cond-mat/9602022.

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

[406]  H. Mikeska.  Quantum solitons and the Haldane phase in antiferromagnetic spin chains , 1995 .

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

[408]  Schadschneider.  Superconductivity in an exactly solvable Hubbard model with bond-charge interaction. , 1994, Physical review. B, Condensed matter.

[409]  Fisher,et al.  Random antiferromagnetic quantum spin chains. , 1994, Physical review. B, Condensed matter.

[410]  Aligia,et al.  Exact solution of a Hubbard chain with bond-charge interaction. , 1994, Physical review letters.

[411]  Trivedi,et al.  Black hole thermodynamics and information loss in two dimensions. , 1994, Physical review. D, Particles and fields.

[412]  F. Wilczek,et al.  Geometric and renormalized entropy in conformal field theory , 1994, hep-th/9403108.

[413]  Dutta,et al.  Quantum-noise matrix for multimode systems: U(n) invariance, squeezing, and normal forms. , 1994, Physical review. A, Atomic, molecular, and optical physics.

[414]  E. Dagotto.  Correlated electrons in high-temperature superconductors , 1993, cond-mat/9311013.

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

[416]  Giuseppe Castagnoli,et al.  The notions of symmetry and computational feedback in the paradigm of steady, simultaneous quantum computation , 1993 .

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

[418]  M. Srednicki,et al.  Entropy and area. , 1993, Physical review letters.

[419]  U. Weiss.  Quantum Dissipative Systems , 1993 .

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

[421]  K. Nomura,et al.  Fluid-dimer critical point in S=1/2 antiferromagnetic Heisenberg chain with next nearest neighbor interactions , 1992 .

[422]  Blatt,et al.  Laser cooling of trapped ions in a standing wave. , 1992, Physical review. A, Atomic, molecular, and optical physics.

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

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

[425]  Fisher,et al.  Transport in a one-channel Luttinger liquid. , 1992, Physical review letters.

[426]  Ludwig,et al.  Exact critical theory of the two-impurity Kondo model. , 1992, Physical review letters.

[427]  A. Ludwig,et al.  Universal noninteger "ground-state degeneracy" in critical quantum systems. , 1991, Physical review letters.

[428]  Charles R. Johnson,et al.  Topics in Matrix Analysis , 1991 .

[429]  A. Sandvik,et al.  Quantum Monte Carlo simulation method for spin systems. , 1991, Physical review. B, Condensed matter.

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

[431]  V. Pasquier,et al.  Common structures between finite systems and conformal field theories through quantum groups , 1990 .

[432]  Yang,et al.  eta pairing and off-diagonal long-range order in a Hubbard model. , 1989, Physical review letters.

[433]  M. Nijs,et al.  Preroughening transitions in crystal surfaces and valence-bond phases in quantum spin chains. , 1989, Physical review. B, Condensed matter.

[434]  Gómez-Santos.  Variational approach to the XXZ spin-1 linear chain: Elementary excitations and Haldane conjecture. , 1989, Physical review letters.

[435]  A. Zeilinger,et al.  Speakable and Unspeakable in Quantum Mechanics , 1989 .

[436]  Nelson,et al.  Two-dimensional quantum Heisenberg antiferromagnet at low temperatures. , 1989, Physical review. B, Condensed matter.

[437]  J. Bell,et al.  Speakable and Unspeakable in Quatum Mechanics , 1988 .

[438]  E. Lieb,et al.  Valence bond ground states in isotropic quantum antiferromagnets , 1988 .

[439]  Jones,et al.  Low-temperature properties of the two-impurity Kondo Hamiltonian. , 1988, Physical review letters.

[440]  J. Cardy,et al.  Finite-size dependence of the free energy in two-dimensional critical systems , 1988 .

[441]  H. Spohn,et al.  Quantum tunneling with dissipation and the Ising model over ℝ , 1985 .

[442]  Guinea.  Dynamics of simple dissipative systems. , 1985, Physical review. B, Condensed matter.

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

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

[445]  R. Botet,et al.  Size Scaling for Infinitely Coordinated Systems , 1982 .

[446]  Gerhard Müller,et al.  Antiferromagnetic long-range order in the anisotropic quantum spin chain , 1982 .

[447]  F. D. M. Haldane,et al.  Erratum: Spontaneous dimerization in theS=12Heisenberg antiferromagnetic chain with competing interactions , 1982 .

[448]  J. Torrance,et al.  Model of the Neutral-Ionic Phase Transformation , 1981 .

[449]  Chin-Kun Hu,et al.  Random Antiferromagnetic Chain , 1979 .

[450]  C. Tracy,et al.  One particle reduced density matrix of impenetrable bosons in one dimension at zero temperature , 1979 .

[451]  A. Polyakov.  Hidden symmetry of the two-dimensional chiral fields , 1977 .

[452]  A. Jamiołkowski.  Linear transformations which preserve trace and positive semidefiniteness of operators , 1972 .

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

[454]  D. Hamann,et al.  Exact Results in the Kondo Problem. II. Scaling Theory, Qualitatively Correct Solution, and Some New Results on One-Dimensional Classical Statistical Models , 1970 .

[455]  C K Majumdar,et al.  Antiferromagnetic model with known ground state , 1970 .

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

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

[458]  Elliott H. Lieb,et al.  Absence of Mott Transition in an Exact Solution of the Short-Range, One-Band Model in One Dimension , 1968 .

[459]  F. W. Cummings,et al.  Exact Solution for an N-Molecule-Radiation-Field Hamiltonian , 1968 .

[460]  Harry J. Lipkin,et al.  Validity of many-body approximation methods for a solvable model: (II). Linearization procedures , 1965 .

[461]  H. Lipkin,et al.  Validity of many-body approximation methods for a solvable model: (I). Exact solutions and perturbation theory , 1965 .

[462]  H. Lipkin,et al.  VALIDITY OF MANY-BODY APPROXIMATION METHODS FOR A SOLVABLE MODEL. III. DIAGRAM SUMMATIONS , 1965 .

[463]  N. Sherman,et al.  Exact eigenstates of the pairing-force Hamiltonian , 1964 .

[464]  L. Berger,et al.  MAGNETIC SUSCEPTIBILITY OF Cu(NO3)2 2.5H2O , 1963 .

[465]  R. Richardson.  A restricted class of exact eigenstates of the pairing-force Hamiltonian , 1963 .

[466]  S. Katsura,et al.  Statistical Mechanics of the Anisotropic Linear Heisenberg Model , 1962 .

[467]  E. Jaynes,et al.  Comparison of quantum and semiclassical radiation theories with application to the beam maser , 1962 .

[468]  Physics Letters , 1962, Nature.

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

[470]  V. B. Belyanin,et al.  Optics and Spectroscopy , 1960, Nature.

[471]  E. Caianiello,et al.  On the algorithm of Dirac spurs , 1952 .

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

[473]  H. Bethe,et al.  Zur Theorie der Metalle , 1931 .

[474]  H. Bethe.  On the theory of metals. 1. Eigenvalues and eigenfunctions for the linear atomic chain , 1931 .