Detecting phase boundaries of quantum spin-1/2 XXZ ladder via bipartite and multipartite entanglement transitions

[1]  M. Lewenstein,et al.  Quantum Entanglement , 2020, Quantum Mechanics.

[2]  S. Ciuchi,et al.  Magnetic phases of spin-1 lattice gases with random interactions , 2017, 1702.01765.

[3]  Ujjwal Sen,et al.  Quantum discord length is enhanced while entanglement length is not by introducing disorder in a spin chain. , 2016, Physical review. E.

[4]  U. Sen,et al.  Diverging scaling with converging multisite entanglement in odd and even quantum Heisenberg ladders , 2015, 1505.06083.

[5]  U. Sen,et al.  Enhancement of Quantum Correlation Length in Quenched Disordered Spin Chains , 2015, 1503.04770.

[6]  A. Sanpera,et al.  Case study of the uniaxial anisotropic spin-1 bilinear-biquadratic Heisenberg model on a triangular lattice , 2014 .

[7]  A. Sanpera,et al.  Entanglement properties of spin models in triangular lattices , 2014, 1407.1033.

[8]  Yichen Huang,et al.  Scaling of quantum discord in spin models , 2013, 1307.6034.

[9]  U. Sen,et al.  Cumulative quantum work-deficit versus entanglement in the dynamics of an infinite spin chain , 2013, 1307.1419.

[10]  U. Sen,et al.  Genuine Multipartite Entanglement Trends in Gapless-gapped Transitions of Quantum Spin Systems , 2012, 1211.3241.

[11]  Mark M. Wilde,et al.  Quantum Information Theory , 2013 .

[12]  A. Sanpera,et al.  Scaling of the entanglement spectrum near quantum phase transitions , 2013, 1302.5285.

[13]  Ujjwal Sen,et al.  Characterizing genuine multisite entanglement in isotropic spin lattices. , 2012, Physical review letters.

[14]  M. N. Bera,et al.  Multisite Entanglement acts as a Better Indicator of Quantum Phase Transitions in Spin Models with Three-spin Interactions , 2012, 1209.1523.

[15]  T. Paterek,et al.  The classical-quantum boundary for correlations: Discord and related measures , 2011, 1112.6238.

[16]  U. Sen,et al.  Dual quantum-correlation paradigms exhibit opposite statistical-mechanical properties , 2011, 1112.1856.

[17]  A Sanpera,et al.  Entanglement spectrum, critical exponents, and order parameters in quantum spin chains. , 2011, Physical review letters.

[18]  U. Sen,et al.  Quantum discord surge heralds entanglement revival in an infinite spin chain , 2010, 1011.5309.

[19]  Frank Pollmann,et al.  Symmetry protection of topological phases in one-dimensional quantum spin systems , 2009, 0909.4059.

[20]  Aditi Sen(De),et al.  Entanglement in resonating valence bond states: ladder versus isotropic lattices , 2011 .

[21]  P. Giorda,et al.  Quantum discord and classical correlations in the bond-charge Hubbard model: Quantum phase transitions, off-diagonal long-range order, and violation of the monogamy property for discord , 2011, 1110.6381.

[22]  U. Sen,et al.  The density matrix recursion method: genuine multisite entanglement distinguishes odd from even quantum spin ladder states , 2011, 1110.3646.

[23]  A. Sanpera,et al.  Detection of Entanglement in Ultracold Lattice Gases , 2011, 1105.2446.

[24]  M. Lewenstein,et al.  Bilinear-biquadratic spin-1 chain undergoing quadratic Zeeman effect , 2011, 1104.5234.

[25]  Gustavo Rigolin,et al.  Spotlighting quantum critical points via quantum correlations at finite temperatures , 2011 .

[26]  A. Pal,et al.  Quantum discord in the ground and thermal states of spin clusters , 2010, 1012.0650.

[27]  Frank Pollmann,et al.  Topological Phases of One-Dimensional Fermions: An Entanglement Point of View , 2010, 1008.4346.

[28]  Xiao-Gang Wen,et al.  Local unitary transformation, long-range quantum entanglement, wave function renormalization, and topological order , 2010, 1004.3835.

[29]  Sheng-Wen Li,et al.  Quantum correlations in topological quantum phase transitions , 2009, 0912.3874.

[30]  Marcus Huber,et al.  Detection of high-dimensional genuine multipartite entanglement of mixed states. , 2009, Physical review letters.

[31]  Roman Orus,et al.  Visualizing elusive phase transitions with geometric entanglement , 2009, 0910.2488.

[32]  Frank Pollmann,et al.  Entanglement spectrum of a topological phase in one dimension , 2009, 0910.1811.

[33]  U. Sen,et al.  Channel capacities versus entanglement measures in multiparty quantum states , 2009, 0909.0580.

[34]  M. S. Sarandy.  Classical correlation and quantum discord in critical systems , 2009, 0905.1347.

[35]  Raoul Dillenschneider,et al.  Quantum discord and quantum phase transition in spin chains , 2008, 0809.1723.

[36]  H. Nishimori.  Titpack—Numerical diagonalization routines and quantum spin Hamiltonians , 2008 .

[37]  R. Orús,et al.  Equivalence of critical scaling laws for many-body entanglement in the Lipkin-Meshkov-Glick model. , 2008, Physical review letters.

[38]  F. Illuminati,et al.  Hierarchies of geometric entanglement , 2007, 0712.4085.

[39]  Román Orús,et al.  Universal geometric entanglement close to quantum phase transitions. , 2007, Physical review letters.

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

[41]  V. Vedral,et al.  Entanglement in Many-Body Systems , 2007, quant-ph/0703044.

[42]  Thierry Paul,et al.  Quantum computation and quantum information , 2007, Mathematical Structures in Computer Science.

[43]  A. Sanpera,et al.  Quantum state transfer in spin-1 chains , 2006, quant-ph/0610210.

[44]  A. Wójcik,et al.  Entanglement in the Majumdar-Ghosh model , 2006, cond-mat/0610379.

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

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

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

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

[49]  John Preskill,et al.  Topological entanglement entropy. , 2005, Physical Review Letters.

[50]  Phase diagram of S=12 two-leg XXZ spin-ladder systems , 2005, cond-mat/0508620.

[51]  E. Popova,et al.  Spin gap in low-dimensional magnets (Review) , 2005 .

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

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

[54]  Chang-pu Sun,et al.  Characterizing entanglement by momentum jump in the frustrated Heisenberg ring at a quantum phase transition , 2005, quant-ph/0502121.

[55]  Spin Gap Antiferromagnets. Materials and Phenomena , 2005, cond-mat/0502019.

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

[57]  Tzu-Chieh Wei,et al.  Global entanglement and quantum criticality in spin chains , 2005 .

[58]  P. Zanardi,et al.  Entanglement and Quantum Phase Transition in Low Dimensional Spin Systems , 2004, quant-ph/0407228.

[59]  M. Plenio,et al.  Three-spin interactions in optical lattices and criticality in cluster Hamiltonians. , 2004, Physical review letters.

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

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

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

[63]  H. Mikeska,et al.  Phase diagrams of spin ladders with ferromagnetic legs , 2002, cond-mat/0209677.

[64]  Wei Chen,et al.  Ground-state phase diagram of S = 1 XXZ chains with uniaxial single-ion-type anisotropy , 2002, cond-mat/0209403.

[65]  A. Miyake.  Classification of multipartite entangled states by multidimensional determinants , 2002, quant-ph/0206111.

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

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

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

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

[70]  V. Scarani,et al.  Bell-type inequalities to detect true n-body nonseparability. , 2002, Physical review letters.

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

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

[73]  H. Barnum,et al.  Monotones and invariants for multi-particle quantum states , 2001, quant-ph/0103155.

[74]  M. Lavagna.  Quantum Phase Transitions , 2001, cond-mat/0102119.

[75]  J. Eisert,et al.  Schmidt measure as a tool for quantifying multiparticle entanglement , 2000, quant-ph/0007081.

[76]  Quantum phase transitions in antiferromagnets and superfluids , 1999, cond-mat/9908008.

[77]  E. Dagotto.  Experiments on ladders reveal a complex interplay between a spin-gapped normal state and superconductivity , 1999, cond-mat/9908250.

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

[79]  O. Legeza,et al.  STABILITY OF THE HALDANE PHASE IN ANISOTROPIC MAGNETIC LADDERS , 1997, cond-mat/9809037.

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

[81]  S. M. Girvin,et al.  Continuous quantum phase transitions , 1997 .

[82]  M. Kaburagi,et al.  Ground-State Phase Diagram and Magnetization Curves of the Spin-1 Antiferromagnetic Heisenberg Chain with Bond Alternation and Uniaxial Single-Ion-Type Anisotropy , 1996 .

[83]  J. Akimitsu,et al.  Superconductivity in the Ladder Material Sr0.4Ca13.6Cu24O41.84 , 1996 .

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

[85]  Mikeska,et al.  Phase transitions in the Heisenberg spin ladder with ferromagnetic legs. , 1996, Physical review. B, Condensed matter.

[86]  T. M. Rice,et al.  Surprises on the Way from One- to Two-Dimensional Quantum Magnets: The Ladder Materials , 1995, Science.

[87]  Tota Nakamura,et al.  Numerical Study on the Ground-State Phase Diagram of the S=1/2 XXZ Ladder Model. , 1995 .

[88]  Correlation functions of the 2D sine-Gordon model , 1995, cond-mat/9504074.

[89]  A. Shimony.  Degree of Entanglement a , 1995 .

[90]  M. Kaburagi,et al.  Ground-state phase diagram of the spin-1 antiferromagnetic Heisenberg chain with bond alternation and uniaxial single-ion-type anisotropy , 1995 .

[91]  K. Nomura,et al.  Critical properties of S= 1/2 antiferromagnetic XXZ chain with next-nearest-neighbour interactions , 1994 .

[92]  Gopalan,et al.  Spin ladders with spin gaps: A description of a class of cuprates. , 1993, Physical review. B, Condensed matter.

[93]  S. Takada,et al.  S=1/2 Quantum Heisenberg Ladder and S=1 Haldane Phase , 1993 .

[94]  A. Kjekshus,et al.  Chemical Phase Diagrams for the YBa2Cu3O7 Family , 1992 .

[95]  Strong,et al.  Competition between singlet formation and magnetic ordering in one-dimensional spin systems. , 1992, Physical review letters.

[96]  Dagotto,et al.  Superconductivity in ladders and coupled planes. , 1992, Physical review. B, Condensed matter.

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

[98]  Schulz Hj.  Phase diagrams and correlation exponents for quantum spin chains of arbitrary spin quantum number. , 1986 .

[99]  Schulz.  Phase diagrams and correlation exponents for quantum spin chains of arbitrary spin quantum number. , 1986, Physical review. B, Condensed matter.

[100]  K. Kopinga,et al.  Evidence for solitons in a quantum ( S = 1 2 ) XY system , 1984 .

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

[102]  K. Kopinga,et al.  Magnetic behavior of the ferromagnetic quantum chain systems (C6H11NH3)CuCl3 (CHAC) and (C6H11NH3)CuBr3 (CHAB) , 1982 .

[103]  D. W. Robinson,et al.  The finite group velocity of quantum spin systems , 1972 .

[104]  N. Goldenfeld.  Lectures On Phase Transitions And The Renormalization Group , 1972 .

[105]  M. Gaudin,et al.  Anisotropic Linear Magnetic Chain , 1966 .

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

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