近日，青海师范大学的郑公平及其研究小组与河南师范大学的王广涛合作并取得一项新进展。经过不懈努力，他们揭示周期驱动三模非厄米系统的手性动力学。相关研究成果已于2024年6月17日在国际知名学术期刊《物理评论A》上发表。

该研究团队研究了具有周期驱动的三模非厄米系统的手性动力学。他们通过精确求解动力学方程，成功揭示了最终态相对相在参数空间中反向环绕后的独特手性行为。研究发现，驱动参数顺时针环和逆时针环的演化态相对相位数呈现相反的特征，但在整个演化过程中，系统的密度分布并不展现出手性特性。

研究人员对演化方程进行了数值模拟，结果与其对绝热演化的解析预测高度一致。特别值得注意的是，最终的密度分布与初始状态无关，并且在顺时针和逆时针环绕时始终保持一致。这与文献中讨论的大多数例子形成鲜明对比，后者在参数空间环方向相反时，振幅通常表现出非对称行为。

此外，长时间演化过程中的动力学行为显示出了极高的稳定性。研究人员认为，这些结果归因于他们所研究的模型所特有的对称性。这一发现可能会激发更多研究人员对模型物理实现的深入研究。

附：英文原文

Title: Chiral dynamics of three-mode non-Hermitian systems with a periodical driving

Author: La-Tai You, Yu-Jia Gao, Guang-Tao Wang, Gong-Ping Zheng

Issue&Volume: 2024/06/17

Abstract: The chiral dynamics of three-mode non-Hermitian systems with a periodical driving are studied. An exact chiral behavior of the relative phases of the final states after encircling with opposite directions in parameter space is obtained analytically with the solutions of the dynamical equations. It is shown that the relative phases of the evolution states are opposite numbers for the clockwise and counterclockwise loops of the driving parameters. But the density distributions have no chirality during the evolution. We examine the dynamical behavior by a numerical simulation of the evolution equations, which agrees well with our analytical predictions for the adiabatic evolution. The final density distributions are found to be independent of initial states and always the same for the clockwise and counterclockwise encircling, while in most examples discussed in the literature the amplitudes show a nonsymmetric behavior when the parameter space circles are in opposite directions. It is also found that the dynamical behavior is steady for the long-time evolution. We attribute the results to the special symmetry of the model, which might encourage others to work on physical realizations of the model.

DOI: 10.1103/PhysRevA.109.062218

Source: https://journals.aps.org/pra/abstract/10.1103/PhysRevA.109.062218