메뉴 건너뛰기




Volumn 51, Issue 1, 2010, Pages

Spectral gap, and split property in quantum spin chains

Author keywords

[No Author keywords available]

Indexed keywords


EID: 77953245397     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3285046     Document Type: Article
Times cited : (17)

References (24)
  • 1
    • 0007339030 scopus 로고
    • Asymptotic behaviour of Wightman functions
    • HPACAK, 0018-0238.
    • Araki H. Hepp K. Ruelle D. Asymptotic behaviour of Wightman functions. Helv. Phys. Acta 1962, 35:164. HPACAK, 0018-0238.
    • (1962) Helv. Phys. Acta , vol.35 , pp. 164
    • Araki, H.1    Hepp, K.2    Ruelle, D.3
  • 2
    • 0002077516 scopus 로고
    • A proof of part of Haldane's conjecture on quantum spin chains
    • LMPHDY, 0377-9017, 10.1007/BF00400304.
    • Affleck I. Lieb E. A proof of part of Haldane's conjecture on quantum spin chains. Lett. Math. Phys. 1986, 12:57. LMPHDY, 0377-9017, 10.1007/BF00400304.
    • (1986) Lett. Math. Phys. , vol.12 , pp. 57
    • Affleck, I.1    Lieb, E.2
  • 5
    • 33746640926 scopus 로고    scopus 로고
    • Lieb-Robinson bounds and the generation of correlations and topological quantum order
    • PRLTAO, 0031-9007, 10.1103/PhysRevLett.97.050401e-print arXiv:quant-ph/0603121.
    • Bravyi S. Hastings M.B. Verstraete F. Lieb-Robinson bounds and the generation of correlations and topological quantum order. Phys. Rev. Lett. 2006, 97:050401. PRLTAO, 0031-9007, 10.1103/PhysRevLett.97.050401e-print arXiv:quant-ph/0603121.
    • (2006) Phys. Rev. Lett. , vol.97 , pp. 050401
    • Bravyi, S.1    Hastings, M.B.2    Verstraete, F.3
  • 6
    • 0000268564 scopus 로고
    • Standard and split inclusions of von Neumann algebras
    • INVMBH, 0020-9910, 10.1007/BF01388641.
    • Doplicher S. Longo R. Standard and split inclusions of von Neumann algebras. Invent. Math. 1984, 75:493. INVMBH, 0020-9910, 10.1007/BF01388641.
    • (1984) Invent. Math. , vol.75 , pp. 493
    • Doplicher, S.1    Longo, R.2
  • 7
    • 70349675787 scopus 로고    scopus 로고
    • Approximating the ground state of gapped quantum spin systems
    • JMAPAQ, 0022-2488, 10.1063/1.3206662.
    • Hamza E. Michalakis S. Nachtergaele B. Sims R. Approximating the ground state of gapped quantum spin systems. J. Math. Phys. 2009, 50:095213. JMAPAQ, 0022-2488, 10.1063/1.3206662.
    • (2009) J. Math. Phys. , vol.50 , pp. 095213
    • Hamza, E.1    Michalakis, S.2    Nachtergaele, B.3    Sims, R.4
  • 8
    • 0039768120 scopus 로고
    • A remark on the cluster theorem
    • CMPHAY, 0010-3616, 10.1007/BF01213409.
    • Fredenhagen K. A remark on the cluster theorem. Commun. Math. Phys. 1985, 97:461. CMPHAY, 0010-3616, 10.1007/BF01213409.
    • (1985) Commun. Math. Phys. , vol.97 , pp. 461
    • Fredenhagen, K.1
  • 9
  • 10
    • 38949175522 scopus 로고    scopus 로고
    • Topology and phases in fermionic systems
    • 10.1088/1742-5468/2008/01/L01001, 0010-3616.
    • Hastings M.B. Topology and phases in fermionic systems. J. Stat. Mech.: Theory Exp. 2008:L01001. 10.1088/1742-5468/2008/01/L01001, 0010-3616.
    • J. Stat. Mech.: Theory Exp. , vol.2008
    • Hastings, M.B.1
  • 11
    • 41549155846 scopus 로고    scopus 로고
    • An area law for one dimensional quantum systems
    • 10.1088/1742-5468/2007/08/P08024, 0010-3616.
    • Hastings M.B. An area law for one dimensional quantum systems. J. Stat. Mech.: Theory Exp. 2007:P08024. 10.1088/1742-5468/2007/08/P08024, 0010-3616.
    • J. Stat. Mech.: Theory Exp. , vol.2007
    • Hastings, M.B.1
  • 12
    • 33745315996 scopus 로고    scopus 로고
    • Spectral gap and exponential decay of correlations
    • CMPHAY, 0010-3616, 10.1007/s00220-006-0030-4.
    • Hastings M.B. Koma T. Spectral gap and exponential decay of correlations. Commun. Math. Phys. 2006, 265:781. CMPHAY, 0010-3616, 10.1007/s00220-006-0030-4.
    • (2006) Commun. Math. Phys. , vol.265 , pp. 781
    • Hastings, M.B.1    Koma, T.2
  • 13
    • 33751577362 scopus 로고    scopus 로고
    • Entanglement, Haag-duality and type properties of infinite quantum spin chains
    • RMPHEX, 0129-055X, 10.1142/S0129055X0600284X.
    • Keyl M. Matsui T. Schlingemann D. Werner R.F. Entanglement, Haag-duality and type properties of infinite quantum spin chains. Rev. Math. Phys. 2006, 18:935. RMPHEX, 0129-055X, 10.1142/S0129055X0600284X.
    • (2006) Rev. Math. Phys. , vol.18 , pp. 935
    • Keyl, M.1    Matsui, T.2    Schlingemann, D.3    Werner, R.F.4
  • 14
    • 47049117840 scopus 로고    scopus 로고
    • On Haag-duality of infinite quantum spin chains
    • RMPHEX, 0129-055X, 10.1142/S0129055X08003377.
    • Keyl M. Matsui T. Schlingemann D. Werner R.F. On Haag-duality of infinite quantum spin chains. Rev. Math. Phys. 2008, 20:707. RMPHEX, 0129-055X, 10.1142/S0129055X08003377.
    • (2008) Rev. Math. Phys. , vol.20 , pp. 707
    • Keyl, M.1    Matsui, T.2    Schlingemann, D.3    Werner, R.F.4
  • 15
    • 33847688112 scopus 로고    scopus 로고
    • Spectral gap and decay of correlations in U(1)-symmetric lattice systems in dimensions D<2
    • JMAPAQ, 0022-2488, 10.1063/1.2437652.
    • Koma T. Spectral gap and decay of correlations in U(1)-symmetric lattice systems in dimensions D<2. J. Math. Phys. 2007, 48:023303. JMAPAQ, 0022-2488, 10.1063/1.2437652.
    • (2007) J. Math. Phys. , vol.48 , pp. 023303
    • Koma, T.1
  • 16
    • 0011320769 scopus 로고
    • The finite group velocity of quantum spin systems
    • CMPHAY, 0010-3616, 10.1007/BF01645779.
    • Lieb E.H. Robinson D.W. The finite group velocity of quantum spin systems. Commun. Math. Phys. 1972, 28:251. CMPHAY, 0010-3616, 10.1007/BF01645779.
    • (1972) Commun. Math. Phys. , vol.28 , pp. 251
    • Lieb, E.H.1    Robinson, D.W.2
  • 17
    • 0001592941 scopus 로고
    • Solution to the factorial Stone-Weierstrass conjecture. An application of standard split W*-inclusion
    • INVMBH, 0020-9910, 10.1007/BF01388497.
    • Longo R. Solution to the factorial Stone-Weierstrass conjecture. An application of standard split W*-inclusion. Invent. Math. 1984, 76:145. INVMBH, 0020-9910, 10.1007/BF01388497.
    • (1984) Invent. Math. , vol.76 , pp. 145
    • Longo, R.1
  • 18
    • 0035531908 scopus 로고    scopus 로고
    • The split property and the symmetry breaking of the quantum spin chain
    • CMPHAY, 0010-3616, 10.1007/s002200100413.
    • Matsui T. The split property and the symmetry breaking of the quantum spin chain. Commun. Math. Phys. 2001, 218:393. CMPHAY, 0010-3616, 10.1007/s002200100413.
    • (2001) Commun. Math. Phys. , vol.218 , pp. 393
    • Matsui, T.1
  • 19
    • 33748045156 scopus 로고    scopus 로고
    • Propagation of correlations in quantum lattice systems
    • JSTPBS, 0022-4715, 10.1007/s10955-006-9143-6.
    • Nachtergaele B. Ogata Y. Sims R. Propagation of correlations in quantum lattice systems. J. Stat. Phys. 2006, 124:1. JSTPBS, 0022-4715, 10.1007/s10955-006-9143-6.
    • (2006) J. Stat. Phys. , vol.124 , pp. 1
    • Nachtergaele, B.1    Ogata, Y.2    Sims, R.3
  • 20
    • 33646729744 scopus 로고    scopus 로고
    • Lieb-Robinson bounds and the exponential clustering theorem
    • CMPHAY, 0010-3616, 10.1007/s00220-006-1556-1.
    • Nachtergaele B. Sims R. Lieb-Robinson bounds and the exponential clustering theorem. Commun. Math. Phys. 2006, 265:119. CMPHAY, 0010-3616, 10.1007/s00220-006-1556-1.
    • (2006) Commun. Math. Phys. , vol.265 , pp. 119
    • Nachtergaele, B.1    Sims, R.2
  • 22
    • 35348912536 scopus 로고    scopus 로고
    • A multi-dimensional Lieb-Schultz-Mattis theorem
    • CMPHAY, 0010-3616, 10.1007/s00220-007-0342-z.
    • Nachtergaele B. Sims R. A multi-dimensional Lieb-Schultz-Mattis theorem. Commun. Math. Phys. 2007, 276:437. CMPHAY, 0010-3616, 10.1007/s00220-007-0342-z.
    • (2007) Commun. Math. Phys. , vol.276 , pp. 437
    • Nachtergaele, B.1    Sims, R.2
  • 24
    • 22244466834 scopus 로고
    • Maximal violation of Bell's inequality is generic in quantum field theory
    • CMPHAY, 0010-3616, 10.1007/BF01207366.
    • Summers S.J. Werner R.F. Maximal violation of Bell's inequality is generic in quantum field theory. Commun. Math. Phys. 1987, 110:247. CMPHAY, 0010-3616, 10.1007/BF01207366.
    • (1987) Commun. Math. Phys. , vol.110 , pp. 247
    • Summers, S.J.1    Werner, R.F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.