论文标题
husimi动力学由非热汉顿人产生
Husimi dynamics generated by non-Hermitian Hamiltonians
论文作者
论文摘要
非热汉密尔顿人产生的动态通常不如传统的Hermitian系统直观。即使对于像复杂的谐波振荡器这样简单的模型，通用初始状态的动力学也会显示出令人惊讶的特征。在这里，我们以半经典极限分析了Husimi分布的动力学，从而阐明了完整的量子演化的基础。经典的Husimi进化由两个因素组成：（i）沿相距轨迹评估的初始HUSIMI分布，以及（ii）与每个相位空间点相对应的规范的最终值。这两个因素都共同导致动态行为引人入胜。我们演示了两个启发性示例的全部量子动力学如何在经典的Husimi动力学上展开。
The dynamics generated by non-Hermitian Hamiltonians are often less intuitive than those of conventional Hermitian systems. Even for models as simple as a complexified harmonic oscillator, the dynamics for generic initial states shows surprising features. Here we analyse the dynamics of the Husimi distribution in a semiclassical limit, illuminating the foundations of the full quantum evolution. The classical Husimi evolution is composed of two factors, (i) the initial Husimi distribution evaluated along phase-space trajectories, and (ii) the final value of the norm corresponding to each phase-space point. Both factors conspire to lead to intriguing dynamical behaviours. We demonstrate how the full quantum dynamics unfolds on top of the classical Husimi dynamics for two instructive examples.
