标题： 针对受激转子模型波包动力学的拟经典理论 显示英文标题

标题： A pseudoclassical theory for the wavepacket dynamics of the kicked rotor model

摘要： 在本研究中，我们提出了一种广义的伪经典理论，用于受周期性扰动的转子模型，以辨别深量子 regime 中的经典动力学痕迹。 与之前仅适用于最低两个量子共振附近的伪经典理论相比，通过考虑在量子共振处自由旋转的量子效应，所提出的理论原则上适用于所有量子共振附近的区域。 特别是，通过模拟确认，可以基于广义的伪经典动力学成功预测量子波包的动力学，提供了一个有趣的例子，说明在深量子 regime 中的动力学与经典动力学之间建立联系是可行的。 广义的伪经典理论在$\mathcal{PT}$对称的受周期性扰动的转子中的应用也进行了讨论。 显示英文摘要

摘要： In this study, we propose a generalized pseudoclassical theory for the kicked rotor model in an attempt to discern the footprints of the classical dynamics in the deep quantum regime. Compared with the previous pseudoclassical theory that applies only in the neighborhoods of the lowest two quantum resonances, the proposed theory is applicable in the neighborhoods of all quantum resonances in principle by considering the quantum effect of the free rotation at a quantum resonance. In particular, it is confirmed by simulations that the quantum wavepacket dynamics can be successfully forecasted based on the generalized pseudoclassical dynamics, offering an intriguing example where it is feasible to bridge the dynamics in the deep quantum regime to the classical dynamics. The application of the generalized pseudoclassical theory to the $\mathcal{PT}$-symmetric kicked rotor is also discussed.