메뉴 건너뛰기




Volumn 2010, Issue 9, 2010, Pages

Corrections to scaling for block entanglement in massive spin chains

Author keywords

Conformal field theory; Entanglement in extended quantum systems (theory); Integrable spin chains (vertex models)

Indexed keywords


EID: 77957608926     PISSN: 17425468     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2010/09/P09003     Document Type: Article
Times cited : (73)

References (61)
  • 2
    • 77649149203 scopus 로고    scopus 로고
    • Area laws for the entanglement entropy - A review
    • Eisert J, Cramer M and Plenio M B, Area laws for the entanglement entropy-a review, 2010 Rev. Mod. Phys. 82 277
    • (2010) Rev. Mod. Phys. , vol.82 , pp. 277
    • Eisert, J.1    Cramer, M.2    Plenio, M.B.3
  • 3
    • 77149162699 scopus 로고    scopus 로고
    • Entanglement entropy in extended systems
    • Calabrese P, Cardy J and Doyon B (ed)
    • Calabrese P, Cardy J and Doyon B (ed), Entanglement entropy in extended systems, 2009 J. Phys. A: Math. Theor. 42 500301
    • (2009) J. Phys. A: Math. Theor. , vol.42 , pp. 500301
  • 4
    • 53349141692 scopus 로고    scopus 로고
    • Entanglement spectrum in one-dimensional systems
    • Calabrese P and Lefevre A, Entanglement spectrum in one-dimensional systems, 2008 Phys. Rev. A 78 032329
    • (2008) Phys. Rev. A , vol.78 , pp. 032329
    • Calabrese, P.1    Lefevre, A.2
  • 6
    • 2442674839 scopus 로고
    • Geometric and renormalized entropy in conformal field theory
    • Holzhey C, Larsen F and Wilczek F, Geometric and renormalized entropy in conformal field theory, 1994 Nucl. Phys. B 424 443
    • (1994) Nucl. Phys. B , vol.424 , pp. 443
    • Holzhey, C.1    Larsen, F.2    Wilczek, F.3
  • 7
    • 84901001853 scopus 로고    scopus 로고
    • Entanglement entropy and quantum field theory
    • Calabrese P and Cardy J, Entanglement entropy and quantum field theory, 2004 J. Stat. Mech. P06002
    • (2004) J. Stat. Mech.
    • Calabrese, P.1    Cardy, J.2
  • 8
    • 75849144987 scopus 로고    scopus 로고
    • Entanglement entropy and conformal field theory
    • Calabrese P and Cardy J, Entanglement entropy and conformal field theory, 2009 J. Phys. A: Math. Theor. 42 504005
    • (2009) J. Phys. A: Math. Theor. , vol.42 , pp. 504005
    • Calabrese, P.1    Cardy, J.2
  • 9
    • 77749345942 scopus 로고    scopus 로고
    • Parity effects in the scaling of block entanglement in gapless spin chains
    • Calabrese P, Campostrini M, Essler F and Nienhuis B, Parity effects in the scaling of block entanglement in gapless spin chains, 2010 Phys. Rev. Lett. 104 095701
    • (2010) Phys. Rev. Lett. , vol.104 , pp. 095701
    • Calabrese, P.1    Campostrini, M.2    Essler, F.3    Nienhuis, B.4
  • 10
    • 77951786310 scopus 로고    scopus 로고
    • Unusual corrections to scaling in entanglement entropy
    • Cardy J and Calabrese P, Unusual corrections to scaling in entanglement entropy, 2010 J. Stat. Mech. P04023
    • (2010) J. Stat. Mech.
    • Cardy, J.1    Calabrese, P.2
  • 11
    • 77957573522 scopus 로고    scopus 로고
    • Universal corrections to scaling for block entanglement in spin- 1 2 XX chains
    • Calabrese P and Essler F H L, Universal corrections to scaling for block entanglement in spin- 1 2 XX chains, 2010 J. Stat. Mech. P08029
    • (2010) J. Stat. Mech.
    • Calabrese, P.1    Essler, F.H.L.2
  • 12
    • 77957588364 scopus 로고    scopus 로고
    • Scaling of bipartite entanglement in one-dimensional lattice systems, with a trapping potential
    • Campostrini M and Vicari E, Scaling of bipartite entanglement in one-dimensional lattice systems, with a trapping potential , 2010 J. Stat. Mech. P08020
    • (2010) J. Stat. Mech.
    • Campostrini, M.1    Vicari, E.2
  • 13
    • 77953494815 scopus 로고    scopus 로고
    • Quantum critical behavior and trap-size scaling of trapped bosons in a one-dimensional optical lattice
    • Campostrini M and Vicari E, Quantum critical behavior and trap-size scaling of trapped bosons in a one-dimensional optical lattice, 2010 Phys. Rev. A 81 063614
    • (2010) Phys. Rev. A , vol.81 , pp. 063614
    • Campostrini, M.1    Vicari, E.2
  • 15
    • 71049134994 scopus 로고    scopus 로고
    • Reduced density matrices and entanglement entropy in free lattice models
    • Peschel I and Eisler V, Reduced density matrices and entanglement entropy in free lattice models, 2009 J. Phys. A: Math. Theor. 42 504003
    • (2009) J. Phys. A: Math. Theor. , vol.42 , pp. 504003
    • Peschel, I.1    Eisler, V.2
  • 16
    • 0000670169 scopus 로고
    • Density matrix renormalization group method for 2D classical models
    • Nishino T, Density matrix renormalization group method for 2D classical models, 1995 J. Phys. Soc. Japan. 74 3598
    • (1995) J. Phys. Soc. Japan. , vol.74 , pp. 3598
    • Nishino, T.1
  • 18
    • 0001606251 scopus 로고    scopus 로고
    • Universal asymptotic eigenvalue distribution of density matrices and corner transfer matrices in the thermodynamic limit
    • Okunishi K, Hieida Y and Akutsu Y, Universal asymptotic eigenvalue distribution of density matrices and corner transfer matrices in the thermodynamic limit , 1999 Phys. Rev. E 59 R6227
    • (1999) Phys. Rev. E , vol.59
    • Okunishi, K.1    Hieida, Y.2    Akutsu, Y.3
  • 19
    • 0032757712 scopus 로고    scopus 로고
    • Density-matrix spectra for integrable models
    • Peschel I, Kaulke M and Legeza O, Density-matrix spectra for integrable models, 1999 Ann. Phys. Lpz. 8 153
    • (1999) Ann. Phys. Lpz. , vol.8 , pp. 153
    • Peschel, I.1    Kaulke, M.2    Legeza, O.3
  • 21
    • 1642587733 scopus 로고    scopus 로고
    • Ground state entanglement in quantum spin chains
    • Latorre J I, Rico E and Vidal G, Ground state entanglement in quantum spin chains, 2004 Quant. Inf. Comput. 4 048
    • (2004) Quant. Inf. Comput. , vol.4 , pp. 048
    • Latorre, J.I.1    Rico, E.2    Vidal, G.3
  • 22
    • 71049184537 scopus 로고    scopus 로고
    • A short review on entanglement in quantum spin systems
    • Latorre J I and Riera A, A short review on entanglement in quantum spin systems, 2009 J. Phys. A: Math. Theor. 42 504002
    • (2009) J. Phys. A: Math. Theor. , vol.42 , pp. 504002
    • Latorre, J.I.1    Riera, A.2
  • 23
    • 42749100120 scopus 로고    scopus 로고
    • Exact evaluation of density matrix elements for the Heisenberg chain
    • Sato J, Shiroishi M and Takahashi M, Exact evaluation of density matrix elements for the Heisenberg chain, 2006 J. Stat. Mech. P12017
    • (2006) J. Stat. Mech.
    • Sato, J.1    Shiroishi, M.2    Takahashi, M.3
  • 25
    • 77950941700 scopus 로고    scopus 로고
    • Derivation of matrix product ansatz for the Heisenberg chain from algebraic Bethe ansatz
    • Katsura H and Maruyama I, Derivation of matrix product ansatz for the Heisenberg chain from algebraic Bethe ansatz , 2010 J. Phys. A: Math. Theor. 43 175003
    • (2010) J. Phys. A: Math. Theor. , vol.43 , pp. 175003
    • Katsura, H.1    Maruyama, I.2
  • 26
    • 34547480880 scopus 로고    scopus 로고
    • Density matrix elements and entanglement entropy for the spin-1/2 XXZ chain at Δ = 1/2
    • Sato J and Shiroishi M, Density matrix elements and entanglement entropy for the spin-1/2 XXZ chain at Δ = 1/2, 2007 J. Phys. A: Math. Theor. 40 8739
    • (2007) J. Phys. A: Math. Theor. , vol.40 , pp. 8739
    • Sato, J.1    Shiroishi, M.2
  • 27
    • 65449152222 scopus 로고    scopus 로고
    • Entanglement, combinatorics and finite-size effects in spin-chains
    • Nienhuis B, Campostrini M and Calabrese P, Entanglement, combinatorics and finite-size effects in spin-chains, 2009 J. Stat. Mech. P02063
    • (2009) J. Stat. Mech.
    • Nienhuis, B.1    Campostrini, M.2    Calabrese, P.3
  • 28
    • 69549108390 scopus 로고    scopus 로고
    • When finite-size corrections vanish: The S = 1/2 XXZ model and the Razumov-Stroganov state
    • Banchi L, Colomo F and Verrucchi P, When finite-size corrections vanish: the S = 1/2 XXZ model and the Razumov-Stroganov state, 2009 Phys. Rev. A 80 022341
    • (2009) Phys. Rev. A , vol.80 , pp. 022341
    • Banchi, L.1    Colomo, F.2    Verrucchi, P.3
  • 31
    • 33745123007 scopus 로고    scopus 로고
    • Half the entanglement in critical systems is distillable from a single specimen
    • Orus R, Latorre J I, Eisert J and Cramer M, Half the entanglement in critical systems is distillable from a single specimen, 2006 Phys. Rev. A 73 060303
    • (2006) Phys. Rev. A , vol.73 , pp. 060303
    • Orus, R.1    Latorre, J.I.2    Eisert, J.3    Cramer, M.4
  • 32
    • 84856378318 scopus 로고    scopus 로고
    • The entanglement entropy of solvable Lattice models
    • Weston R, The entanglement entropy of solvable Lattice models, 2006 J. Stat. Mech. L03002
    • (2006) J. Stat. Mech.
    • Weston, R.1
  • 33
    • 33645005950 scopus 로고    scopus 로고
    • Boundary effects in the critical scaling of entanglement entropy in 1D systems
    • Laflorencie N, Sorensen E S, Chang M-S and Affleck I, Boundary effects in the critical scaling of entanglement entropy in 1D systems, 2006 Phys. Rev. Lett. 96 100603
    • (2006) Phys. Rev. Lett. , vol.96 , pp. 100603
    • Laflorencie, N.1    Sorensen, E.S.2    Chang, M.-S.3    Affleck, I.4
  • 34
    • 75849158146 scopus 로고    scopus 로고
    • Entanglement entropy in quantum impurity systems and systems with boundaries
    • Sorensen E S, Laflorencie N and Affleck I, Entanglement entropy in quantum impurity systems and systems with boundaries, 2009 J. Phys. A: Math. Theor. 42 504009
    • (2009) J. Phys. A: Math. Theor. , vol.42 , pp. 504009
    • Sorensen, E.S.1    Laflorencie, N.2    Affleck, I.3
  • 37
    • 33751559006 scopus 로고    scopus 로고
    • On the entanglement entropy for a XY spin chain
    • Peschel I, On the entanglement entropy for a XY spin chain, 2004 J. Stat. Mech. P12005
    • (2004) J. Stat. Mech.
    • Peschel, I.1
  • 38
    • 79051471048 scopus 로고    scopus 로고
    • Exact relationship between the entanglement entropies of XY and quantum Ising chains
    • Igloi F and Juhasz R, Exact relationship between the entanglement entropies of XY and quantum Ising chains, 2008 Europhys. Lett. 81 57003
    • (2008) Europhys. Lett. , vol.81 , pp. 57003
    • Igloi, F.1    Juhasz, R.2
  • 39
    • 77950518831 scopus 로고    scopus 로고
    • Exact entanglement entropy of the XY Z model and its sine-Gordon limit
    • Ercolessi E, Evangelisti S and Ravanini F, Exact entanglement entropy of the XY Z model and its sine-Gordon limit , 2010 Phys. Lett. A 374 2101
    • (2010) Phys. Lett. A , vol.374 , pp. 2101
    • Ercolessi, E.1    Evangelisti, S.2    Ravanini, F.3
  • 40
    • 28844479468 scopus 로고    scopus 로고
    • Single-copy entanglement in critical spin chains
    • Eisert J and Cramer M, Single-copy entanglement in critical spin chains, 2005 Phys. Rev. A 72 42112
    • (2005) Phys. Rev. A , vol.72 , pp. 42112
    • Eisert, J.1    Cramer, M.2
  • 42
    • 0010140776 scopus 로고
    • Boundary conditions in conformal field theory
    • Cardy J, Boundary conditions in conformal field theory, 1989 Adv. Studies Pure Math. 19 127
    • (1989) Adv. Studies Pure Math. , vol.19 , pp. 127
    • Cardy, J.1
  • 44
    • 24544453124 scopus 로고
    • Boundary conditions, fusion rules and the Verlinde formula
    • Cardy J, Boundary conditions, fusion rules and the Verlinde formula, 1989 Nucl. Phys. B 324 581
    • (1989) Nucl. Phys. B , vol.324 , pp. 581
    • Cardy, J.1
  • 45
    • 0001189788 scopus 로고
    • Automorphic properties of local height probabilities for integrable solid-on-solid models
    • Date E, Jimbo M, Miwa T and Okado M, Automorphic properties of local height probabilities for integrable solid-on-solid models, 1987 Phys. Rev. B 35 2105
    • (1987) Phys. Rev. B , vol.35 , pp. 2105
    • Date, E.1    Jimbo, M.2    Miwa, T.3    Okado, M.4
  • 46
    • 0011402903 scopus 로고
    • Operator content of two-dimensional conformally invariant theories
    • Cardy J, Operator content of two-dimensional conformally invariant theories, 1986 Nucl. Phys. B 270 186
    • (1986) Nucl. Phys. B , vol.270 , pp. 186
    • Cardy, J.1
  • 47
    • 0000550675 scopus 로고
    • Universal non-integer ground state degeneracy in critical quantum systems
    • Affleck I and Ludwig A W W, Universal non-integer ground state degeneracy in critical quantum systems, 1991 Phys. Rev. Lett. 67 161
    • (1991) Phys. Rev. Lett. , vol.67 , pp. 161
    • Affleck, I.1    Ludwig, A.W.W.2
  • 48
    • 36749052294 scopus 로고    scopus 로고
    • Form factors of branch-point twist fields in quantum integrable models and entanglement entropy
    • Cardy J L, Castro-Alvaredo O A and Doyon B, Form factors of branch-point twist fields in quantum integrable models and entanglement entropy, 2008 J. Stat. Phys. 130 129
    • (2008) J. Stat. Phys. , vol.130 , pp. 129
    • Cardy, J.L.1    Castro-Alvaredo, O.A.2    Doyon, B.3
  • 49
    • 48249144402 scopus 로고    scopus 로고
    • Bi-partite entanglement entropy in integrable models with backscattering
    • Castro-Alvaredo O A and Doyon B, Bi-partite entanglement entropy in integrable models with backscattering, 2008 J. Phys. A: Math. Theor. 41 275203
    • (2008) J. Phys. A: Math. Theor. , vol.41 , pp. 275203
    • Castro-Alvaredo, O.A.1    Doyon, B.2
  • 50
    • 60149104268 scopus 로고    scopus 로고
    • Bi-partite entanglement entropy in massive two-dimensional quantum field theory
    • Doyon B, Bi-partite entanglement entropy in massive two-dimensional quantum field theory, 2009 Phys. Rev. Lett. 102 031602 Castro-Alvaredo O A and Doyon B, Bi-partite entanglement entropy in massive 1+1-dimensional quantum field theories, 2009 J. Phys. A: Math. Theor. 42 504006
    • (2009) Phys. Rev. Lett. , vol.102 , pp. 031602
    • Doyon, B.1
  • 52
    • 65549152481 scopus 로고    scopus 로고
    • Mutual information and compactification radius in a c = 1 critical phase in one dimension
    • Furukawa S, Pasquier V and Shiraishi J, Mutual information and compactification radius in a c = 1 critical phase in one dimension, 2009 Phys. Rev. Lett. 102 170602
    • (2009) Phys. Rev. Lett. , vol.102 , pp. 170602
    • Furukawa, S.1    Pasquier, V.2    Shiraishi, J.3
  • 53
    • 70450285534 scopus 로고    scopus 로고
    • Entanglement entropy of two disjoint intervals in conformal field theory
    • Calabrese P, Cardy J and Tonni E, Entanglement entropy of two disjoint intervals in conformal field theory, 2009 J. Stat. Mech. P11001
    • (2009) J. Stat. Mech.
    • Calabrese, P.1    Cardy, J.2    Tonni, E.3
  • 54
    • 58149290058 scopus 로고    scopus 로고
    • Entanglement entropy and twist fields
    • Caraglio M and Gliozzi F, Entanglement entropy and twist fields, 2008 J. High Energy Phys. JHEP11(2008)076
    • (2008) J. High Energy Phys. , vol.JHEP11 , Issue.2008 , pp. 076
    • Caraglio, M.1    Gliozzi, F.2
  • 55
    • 77749342546 scopus 로고    scopus 로고
    • Entanglement entropy of two disjoint blocks in critical Ising models
    • Alba V, Tagliacozzo L and Calabrese P, Entanglement entropy of two disjoint blocks in critical Ising models, 2010 Phys. Rev. B 81 060411
    • (2010) Phys. Rev. B , vol.81 , pp. 060411
    • Alba, V.1    Tagliacozzo, L.2    Calabrese, P.3
  • 56
    • 77951675681 scopus 로고    scopus 로고
    • Entanglement entropy of two disjoint blocks in XY chains
    • Fagotti M and Calabrese P, Entanglement entropy of two disjoint blocks in XY chains, 2010 J. Stat. Mech. P04016
    • (2010) J. Stat. Mech.
    • Fagotti, M.1    Calabrese, P.2
  • 57
    • 79051471040 scopus 로고    scopus 로고
    • On reduced density matrices for disjoint subsystems
    • Igloi F and Peschel I, On reduced density matrices for disjoint subsystems, 2010 Europhys. Lett. 89 40001
    • (2010) Europhys. Lett. , vol.89 , pp. 40001
    • Igloi, F.1    Peschel, I.2
  • 58
    • 77950291205 scopus 로고    scopus 로고
    • Shared information in stationary states at criticality
    • Alcaraz F C and Rittenberg V, Shared information in stationary states at criticality, 2010 J. Stat. Mech. P03024
    • (2010) J. Stat. Mech.
    • Alcaraz, F.C.1    Rittenberg, V.2
  • 59
    • 70349525162 scopus 로고    scopus 로고
    • Entanglement in far from equilibrium stationary states
    • Alcaraz F C, Rittenberg V and Sierra G, Entanglement in far from equilibrium stationary states, 2009 Phys. Rev. E 80 030102(R)
    • (2009) Phys. Rev. E , vol.80
    • Alcaraz, F.C.1    Rittenberg, V.2    Sierra, G.3
  • 60
    • 70349084055 scopus 로고    scopus 로고
    • Valence bond and von Neumann entanglement entropy in Heisenberg ladders
    • Kallin A B, Gonzàlez I, Hastings M B and Melko R, Valence bond and von Neumann entanglement entropy in Heisenberg ladders, 2009 Phys. Rev. Lett. 103 117203
    • (2009) Phys. Rev. Lett. , vol.103 , pp. 117203
    • Kallin, A.B.1    Gonzàlez, I.2    Hastings, M.B.3    Melko, R.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.