厄米矩阵
动力学(音乐)
模式(计算机接口)
厄米函数
物理
统计物理学
计算机科学
量子力学
人机交互
声学
作者
La-Tai You,Yufeng Gao,Guangtao Wang,Gong-Ping Zheng
出处
期刊:Physical review
日期:2024-06-17
卷期号:109 (6)
标识
DOI:10.1103/physreva.109.062218
摘要
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.
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