Pseudoclassical dynamics of the kicked top

TL;DR

This paper extends the concepts of quantum resonance and pseudoclassical limit from the kicked rotor to the kicked top, providing new insights into its complex dynamics and entanglement behavior.

Contribution

It introduces a pseudoclassical framework for the kicked top, enhancing understanding of its dynamical properties and entanglement entropy, and discusses its relation to the kicked rotor.

Findings

Periodic synchronization can be explained via pseudoclassical perspective.

The pseudoclassical approach clarifies the entanglement entropy dynamics.

The theory links the kicked top's behavior to that of the kicked rotor.

Abstract

The kicked rotor and the kicked top are two paradigms of quantum chaos. The notions of quantum resonance and the pseudoclassical limit, developed in the study of the kicked rotor, have revealed an intriguing and unconventional aspect of classical-quantum correspondence. Here, we show that, by extending these notions to the kicked top, its rich dynamical behavior can be appreciated more thoroughly; of special interest is the entanglement entropy. In particular, the periodic synchronization between systems subject to different kicking strength can be conveniently understood and elaborated from the pseudoclassical perspective. The applicability of the suggested general pseudoclassical theory to the kicked rotor is also discussed.