# Dynamical Many-body Localization and Delocalization in Periodically Driven Closed Quantum Systems

## TL;DR

This paper reviews how periodic driving can either localize or delocalize quantum many-body systems, highlighting quantum interference's role in these contrasting phenomena and discussing implications for ergodicity and energy absorption.

## Contribution

It provides a non-technical overview of recent developments in understanding dynamical many-body localization and delocalization under periodic driving.

## Key findings

- Periodic drive can induce localization in disorder-free systems.
- Periodic drive can delocalize disordered many-body localized systems.
- Quantum interference is key to both localization and delocalization effects.

## Abstract

Quantum interference lies at the heart of several surprising equilibrium and non-equilibrium phenomena in many-body Physics. Here we discuss two recently explored non-equilibrium scenarios where external periodic drive applied to closed (i.e., not attached to any external bath) quantum many-body systems have apparently opposite effects in respective cases. In one case it freezes/localizes a disorder free system dynamically, while in the other it delocalizes a disordered many-body localized system, and quantum interference is responsible for both the effects. We review these in the perspective of more general questions of ergodicity, energy absorption, asymptotic behavior, and finally the essential role of quantum mechanics in understanding these issues in periodically driven closed many-body systems. In this article we intend to deliver a non-technical account of some recent developments in this field in a manner accessible to a broad readership.