Pseudoclassical Dynamics of the Kicked Top

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.

Automated summary

The kicked rotor and the kicked top are two examples of quantum chaos, and the concepts of quantum resonance and pseudoclassical limit in their study reveal the intriguing correspondence between classical and quantum dynamics. By extending these concepts to the kicked top, a more thorough understanding of its dynamic behavior, particularly entanglement entropy, can be achieved.