(Quasi)Periodic revivals in periodically driven interacting quantum systems

TL;DR

This paper constructs interacting quantum systems that maintain dynamical localization and exhibit tunable revivals of the many-body wavefunction, even under periodic driving, with stability affected by disorder.

Contribution

It introduces a family of interacting driven systems with dynamical localization and controllable wavefunction revivals, advancing understanding of non-ergodic behavior in driven quantum systems.

Findings

Revivals are stable in finite systems with open boundaries.

Disorder reduces revival lifetime inversely proportional to disorder strength.

Constructed systems remain localized despite periodic driving.

Abstract

Recently it has been shown that interparticle interactions\emph ongenerically\emph default destroy dynamical localization in periodically driven systems, resulting in diffusive transport and heating. In this work we rigorously construct a family of interacting driven systems which are dynamically localized and effectively decoupled from the external driving potential. We show that these systems exhibit tunable periodic or quasiperiodic revivals of the many-body wavefunction and thus\emph onof all\emph default physical observables. By numerically examining spinless fermions on a one dimensional lattice we show that the analytically obtained revivals of such systems remain stable for finite systems with open boundary conditions while having a finite lifetime in the presence of static spatial disorder. We find this lifetime to be inversely proportional to the disorder strength.