Drive-induced many-body localization and coherent destruction of Stark many-body localization

TL;DR

This paper investigates how drive-induced effects, including resonant and off-resonant AC fields, can control and destroy many-body localization in systems subjected to static and dynamic electric fields.

Contribution

It reveals conditions under which AC driving can preserve, induce, or destroy Stark many-body localization, highlighting the role of resonant and off-resonant drives.

Findings

Resonant drive can coherently destroy Stark-MBL.

High-frequency AC fields can induce MBL when tuned appropriately.

Conditions for dynamical localization and super Bloch oscillations are identified.

Abstract

We study the phenomenon of many-body localization (MBL) in an interacting system subjected to a combined DC as well as a square wave AC electric field. First, the condition for the dynamical localization, coherent destruction of Wannier-Stark localization and super Bloch oscillations in the non-interacting limit, are obtained semi-classically. In the presence of interactions (and a confining/disordered potential), a static field alone leads to "Stark many-body localization", for sufficiently large field strengths. We find that in the presence of an additional high-frequency AC field, there are two ways of maintaining the MBL intact: either by resonant drive where the ratio of amplitude to the frequency of the drive ($A/\omega$) is tuned at the dynamical localization point of the non-interacting limit or by off-resonant drive. Remarkably, resonant drive with $A/\omega$ tuned away from the dynamical localization point leads to a \emph{coherent destruction of Stark-MBL}. Moreover, a pure (high-frequency) AC field can also give rise to the MBL phase if $A/\omega$ is tuned at the dynamical localization point of the zero dc field problem.