Robust Dynamical Recurrences Based on Floquet Spectrum

TL;DR

This paper analyzes wave packet recurrence behavior in complex driven systems, providing analytical insights into recurrence times near nonlinear resonances, with applications to matter waves in optical lattices under periodic forcing.

Contribution

It offers a novel analytical framework for understanding recurrence times in higher-dimensional and periodically driven quantum systems, especially near nonlinear resonances.

Findings

Analytical expressions for recurrence times near nonlinear resonances.

Application of theory to matter waves in optical lattices with periodic forcing.

Results are experimentally observable with current setups.

Abstract

Recurrence behavior of wave packets in coupled higher dimensional systems and periodically driven systems is analyzed, which takes place in the realm of higher coupling/modulation strength. We analyze the wave packet dynamics close to nonlinear resonances developed in the systems and provide the analytical understanding of recurrence times.We apply these analytical results to investigate the recurrence times of matter waves in optical lattice in the presence of external periodic forcing. The obtained analytical results can experimentally be observed using currently available experimental setups.