Effective time-reversal via periodic shaking

TL;DR

This paper numerically investigates effective time-reversal in periodically shaken optical lattices, demonstrating high-fidelity wave function return for interacting ultra-cold atoms, which helps distinguish pure quantum dynamics from mixed states.

Contribution

It introduces a numerical analysis of time-reversal in shaken optical lattices, building on a scheme involving rapid changes in shaking amplitude and interaction sign.

Findings

High probability of wave function returning to initial state

Effective time-reversal distinguishes quantum from statistical mixture dynamics

Numerical validation of the scheme for interacting ultra-cold atoms

Abstract

For a periodically shaken optical lattice, effective time-reversal is investigated numerically. For interacting ultra-cold atoms, the scheme of [J. Phys. B 45, 021002 (2012)] involves a quasi-instantaneous change of both the shaking-amplitude and the sign of the interaction. As the wave function returns to its initial state with high probability, time-reversal is ideal to distinguish pure quantum dynamics from the dynamics described by statistical mixtures.