Quantum Entanglement and Non-Hermiticity in Free-Fermion Systems  

作　　者：Li-Mei Chen Yao Zhou Shuai A.Chen Peng Ye 

机构地区：[1]Guangdong Provincial Key Laboratory of Magnetoelectric Physics and Devices,State Key Laboratory of Optoelectronic Materials and Technologies,and School of Physics,Sun Yat-sen University,Guangzhou 510275,China [2]Max Planck Institute for the Physics of Complex Systems,N¨othnitzer StraBe 38,Dresden 01187,Germany [3]Department of Physics,The Hong Kong University of Science and Technology,Hong Kong,China

出　　处：《Chinese Physics Letters》2024年第12期129-140,共12页中国物理快报（英文版）

基　　金：National Natural Science Foundation of China(Grant No.12074438);The calculations reported were performed on resources provided by the Guangdong Provincial Key Laboratory of Magnetoelectric Physics and Devices(Grant No.2022B1212010008).

摘　　要：This topical review article reports rapid progress on the generalization and application of entanglement in non-Hermitian free-fermion quantum systems.We begin by examining the realization of non-Hermitian quantum systems through the Lindblad master equation,alongside a review of typical non-Hermitian free-fermion systems that exhibit unique features.A pedagogical discussion is provided on the relationship between entanglement quantities and the correlation matrix in Hermitian systems.Building on this foundation,we focus on how entanglement concepts are extended to non-Hermitian systems from their Hermitian free-fermion counterparts,with a review of the general properties that emerge.Finally,we highlight various concrete studies,demonstrating that entanglement entropy remains a powerful diagnostic tool for characterizing non-Hermitian physics.The entanglement spectrum also reflects the topological characteristics of non-Hermitian topological systems,while unique non-Hermitian entanglement behaviors are also discussed.The review is concluded with several future directions.Through this review,we hope to provide a useful guide for researchers who are interested in entanglement in non-Hermitian quantum systems.

关 键 词：QUANTUM TOPOLOGICAL FERMI 

分 类 号：O413[理学—理论物理]