Diagonal entropy and topological phase transitions in extended Kitaev chains

被引:2
|
作者
Qiao, Hong [1 ]
Sun, Zheng-Hang [2 ,3 ]
Sun, Feng-Xiao [1 ,4 ]
Mu, Liang-Zhu [5 ]
He, Qiongyi [1 ,4 ,6 ,7 ]
Fan, Heng [2 ,3 ,4 ,7 ,8 ]
机构
[1] Peking Univ, Sch Phys, State Key Lab Mesoscop Phys, Beijing 100871, Peoples R China
[2] Chinese Acad Sci, Inst Phys, Beijing 100190, Peoples R China
[3] Univ Chinese Acad Sci, Sch Phys Sci, Beijing 100190, Peoples R China
[4] Collaborat Innovat Ctr Quantum Matter, Beijing, Peoples R China
[5] Peking Univ, Sch Phys, Beijing 100871, Peoples R China
[6] Shanxi Univ, Collaborat Innovat Ctr Extreme Opt, Taiyuan 030006, Shanxi, Peoples R China
[7] Beijing Acad Quantum Informat Sci, Beijing 100193, Peoples R China
[8] CAS Cent Excellence Topol Quantum Computat, Beijing 100190, Peoples R China
基金
中国国家自然科学基金; 国家重点研发计划;
关键词
Diagonal entropy; Quantum coherence; Extended Kitaev chain; Topological phase transition; Global entanglement; MAJORANA FERMIONS; STATISTICAL-MECHANICS; XY-MODEL; ENTANGLEMENT; ANYONS; STATES;
D O I
10.1016/j.aop.2019.167967
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We investigate the diagonal entropy for ground states of the extended Kitaev chains with extensive pairing and hopping terms. The systems contain rich topological phases equivalently represented by topological invariant winding numbers and Majorana zero modes. Both the finite size scaling law and block scaling law of the diagonal entropy are studied, which indicates that the diagonal entropy demonstrates volume effect. The parameter of volume term is regarded as the diagonal entropy density, which can identify the critical points of symmetry-protected topological phase transitions efficiently in the studied models, even for those with higher winding numbers. The formulation of block scaling law and the capability of diagonal entropy density in detecting topological phase transitions are independent of the chosen bases. In order to manifest the advantage of diagonal entropy, we also calculate the global entanglement, which cannot show clear signatures of the topological phase transitions. This work provides a new quantum-informatic approach to characterize the feature of the topologically ordered states and may motivate a deep understanding of the quantum coherence and diagonal entropy in various condensed matter systems. (C) 2019 Elsevier Inc. All rights reserved.
引用
收藏
页数:17
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