Eur. Phys. J. D 64, 491-498 (2011)
https://doi.org/10.1140/epjd/e2011-20170-8

Regular Article

Robust dynamical recurrences based on Floquet spectrum

¹ Department of Electronics, Quaid-i-Azam University, 45320, Islamabad, Pakistan
² Theoretical Plasma Physics Division, PINSTECH, Nilore, Islamabad, Pakistan
³ Department of Physics, University of Sargodha, Sargodha, Pakistan

^a e-mail: ayubok@gmail.com

Received: 21 March 2011
Received in final form: 28 June 2011
Published online: 11 October 2011

Abstract

Robust recurrence behavior of wave packets in periodically driven systems and coupled higher dimensional 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.