杨-李边界奇异性中非平衡动力学的理论研究

doi:10.3969/j.issn.1007-5461.2025.06.011

量子电子学报 ›› 2025, Vol. 42 ›› Issue (6): 840-848.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

高琪 , 何信昊 , 庄英 , 吴晓庆 , 翟良君*

江苏理工学院数理学院, 江苏常州 213001

收稿日期:2024-05-10 修回日期:2024-07-19 出版日期:2025-11-28 发布日期:2025-11-28
通讯作者: E-mail: zhailiangjun@jsut.edu.cn E-mail:zhailiangjun@jsut.edu.cn
作者简介:高琪 ( 1992 - ), 女, 河北张家口人, 硕士, 中级实验师, 主要从事量子开放体系相变动力学理论方面的研究。E-mail: gq@jsut.edu.cn
基金资助:
国家自然科学基金 (12274184), 江苏高校"青蓝工程"资助

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

GAO Qi, HE Xinhao, ZHUANG Ying, WU Xiaoqing, ZHAI Liangjun *

School of Mathematics and Physics, Jiangsu University of Technology, Changzhou 213001, China

Received:2024-05-10 Revised:2024-07-19 Published:2025-11-28 Online:2025-11-28

摘要/Abstract

摘要： 近年来, 非厄米系统中的非平衡动力学引起了广泛关注。本文以具有复数纵向外场的一维横场伊辛模型为例, 研究了杨-李边界奇异性 (YLES) 中的驱动动力学行为。本研究把赝磁化强度作为序参量, 针对线性驱动实纵向外场通过 (0+1) 维YLES和 (1+1) 维铁磁-顺磁相变临界区域的情况, 提出了描述不同临界区域中赝磁化强度动力学相变行为的Kibble-Zurek标度 (KZS) 理论, 进一步通过驱动动力学的数值模拟, 对提出的KZS理论进行了验证。由于赝磁化强度在YLES相变点附近不发散, 且纵向外场的实部易于在实验中调控, 因此该理论可为实验上开展非厄米体系中的动力学相变问题研究提供一定参考。

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

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.

Key words: quantum physics, dynamical quantum phase transition, Kibble-Zurek scaling, Yang-Lee edge singularity, non-Hermitian Ising model

中图分类号:

O413

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.

GAO Qi, HE Xinhao, ZHUANG Ying, WU Xiaoqing, ZHAI Liangjun . Theoretical study on non‑equilibrium dynamics in Yang‑Lee edge singularity[J]. Chinese Journal of Quantum Electronics, 2025, 42(6): 840-848.

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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

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