Dynamics of wavepackets and entanglement in many-body kicked rotors under quantum resonance

TL;DR

This paper analyzes the complex dynamics of wavepackets and entanglement in many-body quantum kicked rotors at resonance, revealing distinct regimes governed by potential symmetries and discussing experimental implications.

Contribution

It provides an analytical framework for understanding three dynamical regimes in many-body kicked rotors based on symmetry considerations, extending to related systems and experimental relevance.

Findings

Identified quadratic growth, period-2 oscillation, and hybrid regimes in wavepacket and entanglement dynamics.

Demonstrated the connection between potential symmetries and dynamical behaviors.

Discussed robustness and extensions to other many-body quantum systems.

Abstract

We investigate a many-body interacting system of quantum kicked rotors, where each rotor resides in its respective quantum resonance. Rich many-body dynamics are found to emerge from the interplay between the principal and secondary resonances. In particular, for both the wavepacket and bipartite entanglement entropy, we analytically demonstrate three distinct dynamical regimes -- quadratic spreading (growth), period-2 oscillation, and their hybrid -- governed by the respective symmetries of the relevant potentials. Based on these symmetries, the connection between the wavepacket and the entanglement dynamics is illustrated. Other related issues are also discussed, including higher-order resonance effects, the robustness of the predicted dynamical behaviors, extension to many-body kicked tops, and relevance to experimental studies.