Properties of many-body localization in quasi-disordered Haldane–Shastry model

被引:0
|
作者
Shuang Lu
Taotao Hu
Hang Ren
Xiaoxuan Gu
Xiaodan Li
Yiwen Gao
Yining Zhang
Jiameng Hong
Yuting Li
机构
[1] Northeast Normal University,School of Physics
[2] Changchun Institute of Optics,Key Laboratory of Airborne Optical Imaging and Measurement
[3] Fine Mechanics and Physics,College of Science
[4] Chinese Academy of Sciences,undefined
[5] University of Shanghai for Science and Technology,undefined
关键词
Many-body localization; Quasi-disorder; Haldane-Shastry model; Periodic driving;
D O I
暂无
中图分类号
学科分类号
摘要
In this work, through the exact matrix diagonalization, we theoretically study the properties of many-body localization (MBL) in one-dimensional quasi-disordered Haldane–Shastry chains. The Haldane–Shastry (HS) model is an integrable quantum spin chain with long-range interactions, it is the generalized Heisenberg XXX model which only contains the nearest-neighbor two-body interactions. By studying the HS model, it is worth noting that we extend the MBL problem of disordered systems to quasi-disordered many-body systems, where the quasi-disorder is adjustable. Firstly, we use excited-state fidelity to study the phase transition, it is found that the interplay between quasi-disorder and interaction can cause the system to occur the many-body localized phase transition, which is similar to that in the random disordered systems. It shows that quasi-disorder forms and system size both affect the critical point of the MBL phase transition. Secondly, we use local magnetization to further demonstrate that the many-body localized phase transition does occur in the quasi-disordered HS model. We also discuss the effect of periodic driving on the quasi-disordered HS systems. It shows that periodic driving will cause the quasi-disordered systems to occur the phase transition between the ergodic phase and the localized phase.
引用
收藏
相关论文
共 50 条
  • [1] Properties of many-body localization in quasi-disordered Haldane-Shastry model
    Lu, Shuang
    Hu, Taotao
    Ren, Hang
    Gu, Xiaoxuan
    Li, Xiaodan
    Gao, Yiwen
    Zhang, Yining
    Hong, Jiameng
    Li, Yuting
    [J]. QUANTUM INFORMATION PROCESSING, 2023, 22 (10)
  • [2] Many-Body Localization of Haldane-Shastry Model with Periodic Driving
    Li, Haoyue
    Hu, Taotao
    Xue, Kang
    Zhao, Hui
    Li, Xiaodan
    Ni, Shuangyuan
    Zhang, Jiali
    Ren, Hang
    [J]. INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2021, 60 (06) : 2066 - 2073
  • [3] Many-Body Localization of Haldane-Shastry Model with Periodic Driving
    Haoyue Li
    Taotao Hu
    Kang Xue
    Hui Zhao
    Xiaodan Li
    Shuangyuan Ni
    Jiali Zhang
    Hang Ren
    [J]. International Journal of Theoretical Physics, 2021, 60 : 2066 - 2073
  • [4] The Behavior of Many-Body Localization of Quasi-Disordered Spin-1/2 Chains
    Zhang, Jiali
    Hu, Taotao
    Ren, Hang
    Xue, Kang
    Ni, Shuangyuan
    Li, Xiaodan
    Lu, Shuang
    Gu, Xiaoxuan
    [J]. INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2022, 61 (04)
  • [5] The Behavior of Many-Body Localization of Quasi-Disordered Spin-1/2 Chains
    Jiali Zhang
    Taotao Hu
    Hang Ren
    Kang Xue
    Shuangyuan Ni
    Xiaodan Li
    Shuang Lu
    Xiaoxuan Gu
    [J]. International Journal of Theoretical Physics, 61
  • [6] Disordered Haldane-Shastry model
    Pai, Shriya
    Srivatsa, N. S.
    Nielsen, Anne E. B.
    [J]. PHYSICAL REVIEW B, 2020, 102 (03)
  • [7] Many-body localization for disordered Bosons
    Stolz, Guenter
    [J]. NEW JOURNAL OF PHYSICS, 2016, 18
  • [8] Many-body localization properties of disordered interacting fermionic systems
    Yapara, K.
    Djoukouo, E. N.
    Bouri, C.
    Mackongo, M. H. B.
    Kwato Njock, M. G.
    [J]. INDIAN JOURNAL OF PHYSICS, 2024,
  • [9] Structure of typical states of a disordered Richardson model and many-body localization
    Buccheri, F.
    De Luca, A.
    Scardicchio, A.
    [J]. PHYSICAL REVIEW B, 2011, 84 (09)
  • [10] Many-body localization and thermalization in disordered Hubbard chains
    Mondaini, Rubem
    Rigol, Marcos
    [J]. PHYSICAL REVIEW A, 2015, 92 (04):