THE TOPOLOGICAL BASIS REALIZATION OF FOUR-QUBIT XXZ SPIN CHAIN

被引:1
|
作者
Du, Guijiao [1 ]
Xue, Kang [1 ]
Sun, Chunfang [1 ]
Wang, Gangcheng [1 ]
Zhou, Chengcheng [1 ]
机构
[1] NE Normal Univ, Sch Phys, Changchun 130024, Peoples R China
关键词
Knot theory; topological basis; quantized spin models; MODELS; ENTANGLEMENT; INVARIANT;
D O I
10.1142/S0219749912500219
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
In this paper, a set of topological basis realization is presented. By acting on the different subspaces, we obtain the new nontrivial six-dimensional (6D) and four-dimensional Temperley-Lieb matrix representations. Then it is shown that XXZ model can be constructed from the Temperley-Lieb algebra (TLA) generators. The eigenstates of XXZ model can be denoted by combinating the set of topological bases. It is interesting that the ground state is closely related to parameter Delta.
引用
收藏
页数:11
相关论文
共 50 条
  • [1] The topological basis expression of four-qubit XXZ spin chain with twist boundary condition
    Guijiao Du
    Kang Xue
    Chengcheng Zhou
    Chunfang Sun
    Gangcheng Wang
    Quantum Information Processing, 2013, 12 : 2417 - 2426
  • [2] The topological basis expression of four-qubit XXZ spin chain with twist boundary condition
    Du, Guijiao
    Xue, Kang
    Zhou, Chengcheng
    Sun, Chunfang
    Wang, Gangcheng
    QUANTUM INFORMATION PROCESSING, 2013, 12 (07) : 2417 - 2426
  • [3] Topological Basis Method for Four-Qubit Spin- XXZ Heisenberg Chain with Dzyaloshinskii-Moriya Interaction
    Liu, Bo
    Xue, Kang
    Wang, Gangcheng
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2017, 56 (03) : 802 - 809
  • [4] The open XXZ spin chain model and the topological basis realization
    Wang, Qingyong
    Du, Yangyang
    Wu, Chunfeng
    Wang, Gangcheng
    Sun, Chunfang
    Xue, Kang
    INTERNATIONAL JOURNAL OF QUANTUM INFORMATION, 2016, 14 (03)
  • [5] Topological basis realization for BMW algebra and Heisenberg XXZ spin chain model
    Liu, Bo
    Xue, Kang
    Wang, Gangcheng
    Liu, Ying
    Sun, Chunfang
    INTERNATIONAL JOURNAL OF QUANTUM INFORMATION, 2015, 13 (03)
  • [6] Effects of anisotropy on pair-wise entanglement of a four-qubit Heisenberg XXZ chain
    Cao Min
    Zhu Shi-Qun
    CHINESE PHYSICS LETTERS, 2006, 23 (11) : 2888 - 2891
  • [7] The XY Spin Chain and the Topological Basis Realization
    Feifei Wang
    Yue Cao
    Yizi Zhu
    Chunfang Sun
    Gangcheng Wang
    Kang Xue
    International Journal of Theoretical Physics, 2020, 59 : 3278 - 3288
  • [8] The XY Spin Chain and the Topological Basis Realization
    Wang, Feifei
    Cao, Yue
    Zhu, Yizi
    Sun, Chunfang
    Wang, Gangcheng
    Xue, Kang
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2020, 59 (10) : 3278 - 3288
  • [9] Dynamics of pairwise entanglement in the four-qubit Heisenberg XX spin chain
    Guo, Jin-Liang
    Song, He-Shan
    JOURNAL OF MODERN OPTICS, 2008, 55 (17) : 2739 - 2749
  • [10] The topological basis realization and the corresponding XXX spin chain
    Sun, C. F.
    Xue, K.
    Wang, G. C.
    Zhou, C. C.
    Du, G. J.
    EPL, 2011, 94 (05)