Classification of gapped Hamiltonians in quantum spin chains

被引：0
|
作者：
Ogata, Yoshiko [1 ]
机构：
[1] Univ Tokyo, Grad Sch Math Sci, Tokyo, Japan
来源：
OPERATOR ALGEBRAS AND MATHEMATICAL PHYSICS | 2019年 / 80卷
关键词：
Quantum spin systems;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Recently, the classification problem of gapped Hamiltonians attracts a lot of attentions. We consider this problem for a class of Hamiltonians on quantum spin chains. We review the motivation of the problem and the background, and explain our recent result, about bulk-classification of frustration-free Hamiltonians.
引用
收藏
页码：179 / 188
页数：10
相关论文
共 50 条
  • [31] Magnon Spin Hall Magnetoresistance of a Gapped Quantum Paramagnet
    Ulloa, Camilo
    Duine, R. A.
    PHYSICAL REVIEW LETTERS, 2018, 120 (17)
  • [32] QUANTUM SPIN CHAINS WITH COMPOSITE SPIN
    SOLYOM, J
    TIMONEN, J
    JOURNAL DE PHYSIQUE, 1988, 49 (C-8): : 1377 - 1378
  • [33] Spin pumping into quantum spin chains
    Furuya, Shunsuke C.
    Matsuo, Mamoru
    Kato, Takeo
    PHYSICAL REVIEW B, 2024, 110 (16)
  • [34] Lie–Schwinger Block-Diagonalization and Gapped Quantum Chains
    J. Fröhlich
    A. Pizzo
    Communications in Mathematical Physics, 2020, 375 : 2039 - 2069
  • [35] Electron spin resonance in high-field critical phase of gapped spin chains
    Kolezhuk, AK
    Mikeska, HJ
    PHYSICAL REVIEW B, 2002, 65 (01) : 144131 - 144138
  • [36] Hereditary structure in Hamiltonians: Information geometry of Ising spin chains
    Fujiwara, Akio
    Shuto, Shigeru
    PHYSICS LETTERS A, 2010, 374 (07) : 911 - 916
  • [37] Exact Solutions and Degenerate Properties of Spin Chains with Reducible Hamiltonians
    Fan, Shiung
    CONDENSED MATTER, 2018, 3 (04): : 1 - 13
  • [38] Approximating the ground state of gapped quantum spin systems
    Hamza, Eman
    Michalakis, Spyridon
    Nachtergaele, Bruno
    Sims, Robert
    JOURNAL OF MATHEMATICAL PHYSICS, 2009, 50 (09)
  • [39] Engineering non-equilibrium quantum phase transitions via causally gapped Hamiltonians
    Mohseni, Masoud
    Strumpfer, Johan
    Rams, Marek M.
    NEW JOURNAL OF PHYSICS, 2018, 20
  • [40] Gapped anisotropic spin chains in a field -: art. no. 014437
    Hagemans, R
    Caux, JS
    Löw, U
    PHYSICAL REVIEW B, 2005, 71 (01)
12345