Chinese Journal of Quantum Electronics ›› 2025, Vol. 42 ›› Issue (6): 840-848.doi: 10.3969/j.issn.1007-5461.2025.06.011

• Quantum Optics • Previous Articles     Next Articles

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

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

  1. 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

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

CLC Number: