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

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

URL: http://arxiv.org/abs/2401.15823v1
Date: Mon, 29 Jan 2024 01:13:17 GMT
Title: A pseudoclassical theory for the wavepacket dynamics of the kicked rotor model
Authors: Zhixing Zou, Jiao Wang
Abstract summary: The proposed theory is applicable in the neighborhoods of all quantum resonances in principle. The application of the generalized pseudoclassical theory to the $mathcalPT$-symmetric kicked rotor is also discussed.
Score: 9.999639052868234
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: 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.

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