Multipartite entanglement in an XXZ spin chain with Dzyaloshinskii–Moriya interaction and quantum phase transition

被引：0
作者：
Jun-Qing Cheng
Wei Wu
Jing-Bo Xu
机构：
[1] Zhejiang University,Zhejiang Institute of Modern Physics and Physics Department
[2] Beijing Computational Science Research Center,undefined
来源：
Quantum Information Processing | 2017年 / 16卷
关键词：
Multipartite entanglement; Dzyaloshinskii–Moriya interaction; Quantum phase transition; Trace distance;
D O I：
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学科分类号：
摘要：
We investigate the multipartite entanglement and trace distance of the one-dimensional anisotropic spin-1/2 XXZ spin chain with the Dzyaloshinskii–Moriya interaction and find that the Dzyaloshinskii–Moriya interaction can influence the entanglement distribution and increase the proportion of multipartite entanglement in the entanglement structure. Furthermore, we explore the quantum phase transition of the XXZ spin chain with Dzyaloshinskii–Moriya interaction by making use of the multipartite entanglement and trace distance along with the quantum renormalization group method. It is found that the first derivatives of renormalized multipartite entanglement and trace distance for the ground state have dramatic changes near the critical point, and the renormalized multipartite entanglement and trace distance obey the universal finite-size scaling laws in the vicinity of the quantum critical point.
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