-
1
-
-
26844535199
-
Rigorous results on valence-bond ground states in antiferromagnets
-
Affleck A, Kennedy T, Lieb E H and Tasaki H 1987 Rigorous results on valence-bond ground states in antiferromagnets Phys. Rev. Lett. 59 799-802
-
(1987)
Phys. Rev. Lett.
, vol.59
, Issue.7
, pp. 799-802
-
-
Affleck Kennedy Lieb T A, E.H.1
Tasaki, H.2
-
2
-
-
0009504187
-
Valence bond ground states in isotropic quantum antiferromagnets
-
Affleck A, Kennedy T, Lieb E H and Tasaki H 1988 Valence bond ground states in isotropic quantum antiferromagnets Commun. Math. Phys. 115 477-528
-
(1988)
Commun. Math. Phys.
, vol.115
, Issue.3
, pp. 477-528
-
-
Affleck Kennedy Lieb T A, E.H.1
Tasaki, H.2
-
4
-
-
0000678841
-
Extended Heisenberg models of antiferromagnetism: Analogies to the fractional quantum Hall effect
-
Arovas D P, Auerbach A and Haldane F D M 1988 Extended Heisenberg models of antiferromagnetism: analogies to the fractional quantum Hall effect Phys. Rev. Lett. 60 531-4
-
(1988)
Phys. Rev. Lett.
, vol.60
, Issue.6
, pp. 531-534
-
-
Arovas Auerbach P D, A.1
Haldane, F.D.M.2
-
6
-
-
0034673710
-
Quantum information and computation
-
Bennett C H and DiVincenzo D P 2000 Quantum information and computation Nature 404 247-55
-
(2000)
Nature
, vol.404
, Issue.6775
, pp. 247-255
-
-
Bennett, C.H.1
Divincenzo, D.P.2
-
8
-
-
34547324404
-
Statistical dependence of entanglement-area laws
-
Cramer M, Eisert J and Plenio M B 2007 Statistical dependence of entanglement-area laws Phys. Rev. Lett. 98 220603 (arXiv:quant-ph/0611264)
-
(2007)
Phys. Rev. Lett.
, vol.98
, Issue.22
, pp. 220603
-
-
Cramer Eisert M, J.1
Plenio, M.B.2
-
9
-
-
33144487612
-
On an entanglement-area-law for general bosonic Harmonic lattice systems
-
Cramer M, Eisert J, Plenio M B and Dreisig J 2006 On an entanglement-area-law for general bosonic Harmonic lattice systems Phys. Rev. A 73 012309 (arXiv:quant-ph/0505092)
-
(2006)
Phys. Rev.
, vol.73
, Issue.1
, pp. 012309
-
-
Cramer Eisert Plenio J M, M.B.1
Dreisig, J.2
-
11
-
-
37649027994
-
Entanglement in a valence-bond-solid state
-
Fan H, Korepin V E and Roychowdhury V 2004 Entanglement in a valence-bond-solid state Phys. Rev. Lett. 93 227203 (arXiv:quant-ph/0406067)
-
(2004)
Phys. Rev. Lett.
, vol.93
, Issue.22
, pp. 227203
-
-
Fan Korepin H, V.E.1
Roychowdhury, V.2
-
13
-
-
34547137392
-
Boundary effects to the entanglement entropy and two-site entanglement of the spin-1 valence-bond solid
-
Fan H, Korepin V E, Roychowdhury V, Hadley C and Bose S 2007 Boundary effects to the entanglement entropy and two-site entanglement of the spin-1 valence-bond solid Phys. Rev. B 76 014428 (arXiv:quant-ph/0605133)
-
(2007)
Phys. Rev.
, vol.76
, Issue.1
, pp. 014428
-
-
Fan Korepin Roychowdhury Hadley V E V H, C.1
Bose, S.2
-
14
-
-
0008096576
-
Valence bond states on quantum spin chains as ground states with spectral gap
-
Fannes M, Nachtergaele B and Werner R F 1991 Valence bond states on quantum spin chains as ground states with spectral gap J. Phys. A: Math. Gen. 24 L185-90
-
(1991)
J. Phys. A: Math. Gen.
, vol.24
, Issue.4
-
-
Fannes Nachtergaele M, B.1
Werner, R.F.2
-
18
-
-
0038999707
-
Complete analysis of two spin correlations of valence bond solid chains for all integer spins
-
Freitag W-D and Muller-Hartmann E 1991 Complete analysis of two spin correlations of valence bond solid chains for all integer spins Z. Phys. B 83 381
-
(1991)
Z. Phys.
, vol.83
, Issue.3
, pp. 381
-
-
Freitag, W.-D.1
Muller-Hartmann, E.2
-
19
-
-
45849154519
-
Implementation of spin Hamiltonians in optical lattices
-
Garcia-Ripoll J J, Martin-Delgado M A and Cirac J I 2004 Implementation of spin Hamiltonians in optical lattices Phys. Rev. Lett. 93 250405 (arXiv:cond-mat/0404566)
-
(2004)
Phys. Rev. Lett.
, vol.93
, Issue.25
, pp. 250405
-
-
Garcia-Ripoll Martin-Delgado J J, M.A.1
Cirac, J.I.2
-
20
-
-
19544364474
-
Entanglement and quantum phase transition in the extended Hubbard Model
-
Gu S-J, Deng S-S, Li Y-Q and Lin H-Q 2004 Entanglement and quantum phase transition in the extended Hubbard Model Phys. Rev. Lett. 93 086402
-
(2004)
Phys. Rev. Lett.
, vol.93
, Issue.8
, pp. 086402
-
-
Gu Deng Li -S S -J S, Y.-Q.1
Lin, H.-Q.2
-
21
-
-
43049135195
-
Single copy entanglement in a gapped quantum spin chain
-
Hadley C 2008 Single copy entanglement in a gapped quantum spin chain Phys. Rev. Lett. 100 170001 (arXiv:0801.3681)
-
(2008)
Phys. Rev. Lett.
, vol.100
, Issue.17
, pp. 177202
-
-
Hadley, C.1
-
22
-
-
1542749402
-
Observation of S = 1/2° of freedom in an S = 1 linear-chain Heisenberg antiferromagnet
-
Hagiwara M, Katsumata K, Affleck I, Halperin B I and Renard J P 1990 Observation of S = 1/2° of freedom in an S = 1 linear-chain Heisenberg antiferromagnet Phys. Rev. Lett. 65 3181
-
(1990)
Phys. Rev. Lett.
, vol.65
, Issue.25
, pp. 3181
-
-
Hagiwara Katsumata Affleck Halperin I K M, B.I.1
Renard, J.P.2
-
23
-
-
18344372822
-
Continuum dynamics of the 1D Heisenberg antiferromagnet: Identification with the O(3) nonlinear sigma model
-
Haldane F D M 1983 Continuum dynamics of the 1D Heisenberg antiferromagnet: identification with the O(3) nonlinear sigma model Phys. Lett. 93A 464-8
-
(1983)
Phys. Lett.
, vol.93
, Issue.9
, pp. 464-468
-
-
Haldane, F.D.M.1
-
24
-
-
4244109353
-
Nonlinear field theory of large-spin Heisenberg antiferromagnets: Semiclassically quantized solitons of the one-dimensional easy-axis Nel state
-
Haldane F D M 1983 Nonlinear field theory of large-spin Heisenberg antiferromagnets: semiclassically quantized solitons of the one-dimensional easy-axis Nel state Phys. Rev. Lett. 50 1153-6
-
(1983)
Phys. Rev. Lett.
, vol.50
, Issue.15
, pp. 1153-1156
-
-
Haldane, F.D.M.1
-
25
-
-
0000795378
-
Finite-size studies of the incompressible state of the fractionally quantized Hall effect and its excitations
-
Haldane F D M and Rezayi E H 1985 Finite-size studies of the incompressible state of the fractionally quantized Hall effect and its excitations Phys. Rev. Lett. 54 237
-
(1985)
Phys. Rev. Lett.
, vol.54
, Issue.3
, pp. 237
-
-
Haldane, F.D.M.1
Rezayi, E.H.2
-
27
-
-
33846863590
-
Entanglement entropy in Fermionic Laughlin states
-
Haque M, Zozulya O and Schoutens K 2007 Entanglement entropy in Fermionic Laughlin states Phys. Rev. Lett. 98 060401 (arXiv:cond-mat/0609263v2)
-
(2007)
Phys. Rev. Lett.
, vol.98
, Issue.6
, pp. 060401
-
-
Haque Zozulya M, O.1
Schoutens, K.2
-
29
-
-
41549155846
-
An area law for one dimensional quantum systems
-
Hastings M B 2007 An area law for one dimensional quantum systems J. Stat. Mech. P08024
-
(2007)
J. Stat. Mech.
, vol.2007
, Issue.8
, pp. 08024
-
-
Hastings, M.B.1
-
30
-
-
33846875866
-
Entropy and exact matrix product representation of the Laughlin wave function
-
Iblisdir S, Latorre J I and Orus R 2007 Entropy and exact matrix product representation of the Laughlin wave function Phys. Rev. Lett. 98 060402 (arXiv:cond-mat/0609088)
-
(2007)
Phys. Rev. Lett.
, vol.98
, Issue.6
, pp. 060402
-
-
Iblisdir Latorre S, J.I.1
Orus, R.2
-
32
-
-
4043058415
-
Quantum spin chain, Toeplitz determinants and Fisher-Hartwig conjecture
-
Jin B-Q and Korepin V E 2004 Quantum spin chain, Toeplitz determinants and Fisher-Hartwig conjecture J. Stat. Phys. 116 79 (arXiv:quant-ph/0304108)
-
(2004)
J. Stat. Phys.
, vol.116
, Issue.1-4
, pp. 79
-
-
Jin, B.-Q.1
Korepin, V.E.2
-
33
-
-
34447101731
-
Exact analysis of entanglement in gapped quantum spin chains
-
Katsura H, Hirano T and Hatsugai Y 2007 Exact analysis of entanglement in gapped quantum spin chains Phys. Rev. B 76 012401 (arXiv:cond-mat/0702196)
-
(2007)
Phys. Rev.
, vol.76
, Issue.1
, pp. 012401
-
-
Katsura Hirano H, T.1
Hatsugai, Y.2
-
35
-
-
11244310555
-
Random matrix theory and entanglement in quantum spin chains
-
Keating J P and Mezzadri F 2004 Random matrix theory and entanglement in quantum spin chains Commun. Math. Phys. 252 543-79 (arXiv:quant-ph/0407047)
-
(2004)
Commun. Math. Phys.
, vol.252
, Issue.1-3
, pp. 543-579
-
-
Keating, J.P.1
Mezzadri, F.2
-
36
-
-
0001442463
-
A two-dimensional isotropic quantum antiferromagnet with unique disordered ground state
-
Kennedy T, Lieb E H and Tasaki H 1988 A two-dimensional isotropic quantum antiferromagnet with unique disordered ground state J. Stat. Phys. 53 383-415
-
(1988)
J. Stat. Phys.
, vol.53
, Issue.1-2
, pp. 383-415
-
-
Kennedy Lieb T, E.H.1
Tasaki, H.2
-
37
-
-
11344277809
-
Correlation functions in valence bond solid ground state
-
Kirillov A N and Korepin V E 1990 Correlation functions in valence bond solid ground state Sankt Petersburg Math. J. 1 47
-
(1990)
Sankt Petersburg Math. J.
, vol.1
, pp. 47
-
-
Kirillov, A.N.1
Korepin, V.E.2
-
39
-
-
0001632658
-
Groundstate properties of a generalized VBS-model
-
Klümper A, Schadschneider A and Zittartz J 1992 Groundstate properties of a generalized VBS-model Z. Phys. B 87 281-7
-
(1992)
Z. Phys.
, vol.87
, Issue.3
, pp. 281-287
-
-
Klümper Schadschneider A, A.1
Zittartz, J.2
-
40
-
-
2442560099
-
Universality of entropy scaling in one-dimensional gapless models
-
Korepin V E 2004 Universality of entropy scaling in one-dimensional gapless models Phys. Rev. Lett. 92 096402 (arXiv:cond-mat/0311056)
-
(2004)
Phys. Rev. Lett.
, vol.92
, Issue.9
, pp. 096402
-
-
Korepin, V.E.1
-
41
-
-
26944452743
-
Entanglement entropy in the Lipkin-Meshkov-Glick model
-
Latorre J I, Orus R, Rico E and Vidal J 2005 Entanglement entropy in the Lipkin-Meshkov-Glick model Phys. Rev. A 71 064101 (arXiv:cond-mat/0409611)
-
(2005)
Phys. Rev.
, vol.71
, Issue.6
, pp. 064101
-
-
Latorre Orus Rico R I J, E.1
Vidal, J.2
-
42
-
-
33749500732
-
Entanglement in finitely correlated spin states
-
Michalakis S and Nachtergaele B 2006 Entanglement in finitely correlated spin states Phys. Rev. Lett. 97 140601 (arXiv:math-ph/0606018)
-
(2006)
Phys. Rev. Lett.
, vol.97
, Issue.14
, pp. 140601
-
-
Michalakis, S.1
Nachtergaele, B.2
-
44
-
-
3042734233
-
Universality of entanglement and quantum-computation complexity
-
Orus R and Latorre J I 2004 Universality of entanglement and quantum-computation complexity Phys. Rev. A 69 052308
-
(2004)
Phys. Rev.
, vol.69
, Issue.5
, pp. 052308
-
-
Orus, R.1
Latorre, J.I.2
-
45
-
-
0036757880
-
Entanglement in a simple quantum phase transition
-
Osborne T J and Nielsen M A 2002 Entanglement in a simple quantum phase transition Phys. Rev. A 66 032110
-
(2002)
Phys. Rev.
, vol.66
, Issue.3
, pp. 032110
-
-
Osborne, T.J.1
Nielsen, M.A.2
-
46
-
-
0037061511
-
Scaling of entanglement close to quantum phase transitions
-
Osterloh A, Amico L, Falci G and Fazio R 2002 Scaling of entanglement close to quantum phase transitions Nature 416 608
-
(2002)
Nature
, vol.416
, Issue.6881
, pp. 608
-
-
Osterloh Amico Falci L A, G.1
Fazio, R.2
-
47
-
-
69349107393
-
Three-spin interactions in optical lattices and criticality in cluster Hamiltonians
-
Pachos J K and Plenio M B 2004 Three-spin interactions in optical lattices and criticality in cluster Hamiltonians Phys. Rev. Lett. 93 056402
-
(2004)
Phys. Rev. Lett.
, vol.93
, Issue.5
, pp. 056402
-
-
Pachos, J.K.1
Plenio, M.B.2
-
50
-
-
42749103810
-
Valence-bond states for quantum computation
-
Verstraete F and Cirac J I 2004 Valence-bond states for quantum computation Phys. Rev. A 70 060302 (arXiv:quant-ph/0311130v1)
-
(2004)
Phys. Rev.
, vol.70
, Issue.6
, pp. 060302
-
-
Verstraete, F.1
Cirac, J.I.2
-
51
-
-
4344563995
-
Diverging entanglement length in gapped quantum spin systems
-
Verstraete F, Martin-Delgado M A and Cirac J I 2004 Diverging entanglement length in gapped quantum spin systems Phys. Rev. Lett. 92 087201
-
(2004)
Phys. Rev. Lett.
, vol.92
, Issue.8
, pp. 087201
-
-
Verstraete Martin-Delgado F, M.A.1
Cirac, J.I.2
|