Anderson Localisation for periodically driven systems

TL;DR

This paper investigates how Anderson localization persists in a disordered lattice system under periodic driving, establishing conditions under which localization remains stable at high driving frequencies.

Contribution

It provides new criteria for the survival of Anderson localization in periodically driven systems, extending understanding beyond static disordered models.

Findings

Localization persists at high driving frequencies under certain conditions

Derived threshold frequency for localization stability

Connections made with Mott's law and adiabatic theory

Abstract

We study the persistence of localization for a strongly disordered tight-binding Anderson model on the lattice $\mathbb{Z}^d$, periodically driven on each site. Under two different sets of conditions, we show that Anderson localization survives if the driving frequency is higher than some threshold value that we determine. We discuss the implication of our results for recent development in condensed matter physics, we compare them with the predictions issuing from adiabatic theory, and we comment on the connexion with Mott's law, derived within the linear response formalism.