Identifying many-body localization transition through global quantum discord

Longhui Shen; Jia Bao; Bin Guo; Zhaoyu Sun

doi:10.1088/1361-648X/acda04

Identifying many-body localization transition through global quantum discord

J Phys Condens Matter. 2023 Jun 7;35(35). doi: 10.1088/1361-648X/acda04.

Authors

Longhui Shen¹, Jia Bao¹, Bin Guo¹, Zhaoyu Sun²

Affiliations

¹ Department of Physics, Wuhan University of Technology, Wuhan 430070, People's Republic of China.
² School of Electrical and Electronic Engineering, Wuhan Polytechnic University, Wuhan 430023, People's Republic of China.

PMID: 37253373
DOI: 10.1088/1361-648X/acda04

Abstract

We investigate the many-body localization (MBL) transitions in a spin-1/2 Heisenberg chain with an on-site random magnetic field by employing global quantum discord (GQD). We use the disorder-averaged GQD to estimate the MBL critical point, which is found to be around atWc=3.8by making a finite-size scaling analysis. We further compare our results of GQD with those of half-chain entanglement entropy (EE) that is promising in the study of MBL. We show that GQD can exclude the finite-size interference under the same condition, which implies that GQD is more robust than the half-chain EE in characterizing MBL.

Keywords: disorder; entanglement entropy; global quantum discord; many-body localization; scaling analysis.