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杨-李边界奇异性中非平衡动力学的理论研究

高琪 何信昊 庄英 吴晓庆 翟良君

量子电子学报2025,Vol.42Issue(6):840-848,9.
量子电子学报2025,Vol.42Issue(6):840-848,9.DOI:10.3969/j.issn.1007-5461.2025.06.011

杨-李边界奇异性中非平衡动力学的理论研究

Theoretical study on non-equilibrium dynamics in Yang-Lee edge singularity

高琪 1何信昊 1庄英 1吴晓庆 1翟良君1

作者信息

  • 1. 江苏理工学院数理学院,江苏 常州 213001
  • 折叠

摘要

Abstract

In recent years,the non-equilibrium dynamics in non-Hermitian systems has attracted widespread attention.In this paper,the driven dynamics in the Yang-Lee edge singularity(YLES)is studied by employing the one-dimensional transverse Ising model with complex longitudinal external field.Taking the pseudomagnetization as the order parameter and considering the case of linearly driven real longitudinal external field through the(0+1)-dimensional YLES and(1+1)-dimensional ferromagnetic-paramagnetic phase transition critical regions,We propose the Kibble-Zurek scaling(KZS)theory to describe the dynamical phase transition behavior of pseudomagnetization in different critical regions.Furthermore,we validate the proposed KZS theory through numerical simulations of driven dynamics.Since the pseudomagnetization does not diverge near the YLES phase transition point and the real longitudinal external field is easy to be adjusted experimentally,the proposed theory can provide reference for the experiments of non-equilibrium dynamics in non-Hermitian systems.

关键词

量子物理/动力学量子相变/Kibble-Zurek标度/杨-李边界奇异性/非厄米伊辛模型

Key words

quantum physics/dynamical quantum phase transition/Kibble-Zurek scaling/Yang-Lee edge singularity/non-Hermitian Ising model

分类

物理学

引用本文复制引用

高琪,何信昊,庄英,吴晓庆,翟良君..杨-李边界奇异性中非平衡动力学的理论研究[J].量子电子学报,2025,42(6):840-848,9.

基金项目

国家自然科学基金(12274184),江苏高校"青蓝工程"资助 (12274184)

量子电子学报

OA北大核心

1007-5461

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