Long-lasting Exponential Spreading in Periodically Driven Quantum Systems

TL;DR

This paper demonstrates that periodically driven quantum systems can exhibit prolonged exponential spreading of wave packets in momentum space, supported by numerical and pseudo-classical analyses, with potential experimental applications.

Contribution

It introduces a dynamical model showing long-lasting exponential spreading in quantum systems, bridging quantum and classical descriptions.

Findings

Wave packets exhibit prolonged exponential spreading in momentum space.

Numerical results align with pseudo-classical map predictions.

Potential applications in cold-atom experiments are discussed.

Abstract

Using a dynamical model relevant to cold-atom experiments, we show that long-lasting exponential spreading of wave packets in momentum space is possible. Numerical results are explained via a pseudo-classical map, both qualitatively and quantitatively. Possible applications of our findings are also briefly discussed.