Analytical investigation of revival phenomena in periodically driven system

TL;DR

This paper provides a theoretical analysis of revival phenomena in a one-dimensional quantum system under periodic driving, deriving exact time scales for classical motion, revivals, and super-revivals.

Contribution

It offers an exact derivation of revival and super-revival time scales for wave packets in a driven one-dimensional potential, advancing understanding of quantum dynamics under external modulation.

Findings

Exact revival and super-revival time scales derived

Classical motion and revival phenomena characterized

Insights into wave packet dynamics in driven potentials

Abstract

We present theoretical study of revival phenomena for a wave packet initially well localized in a one-dimensional potential in the presence of an external periodic modulating field. The classical motion, revival, and super-revival time scale are derived exactly for wave packet excited in the one dimension box potential.