Towards AC-induced optimum control of dynamical localization

TL;DR

This paper demonstrates that optimal control of dynamical localization in ultracold atoms within shaken optical lattices depends on the impulse transmitted by the external force over half a period, offering a practical principle for experimental control.

Contribution

It introduces a novel principle that the impulse, rather than force amplitude, governs dynamical localization control in periodic quantum systems.

Findings

Impulse determines dynamical localization control

Optimal control is experimentally feasible

Force amplitude is less relevant than impulse

Abstract

It is shown that optimum control of dynamical localization (quantum suppression of classical diffusion) in the context of ultracold atoms in periodically shaken optical lattices subjected to time-periodic forces having equidistant zeros depends on the \textit{impulse} transmitted by the external force over half-period rather than on the force amplitude. This result provides a useful principle for optimally controlling dynamical localization in general periodic systems, which is capable of experimental realization.