Universal dynamics and renormalization in many body localized systems

TL;DR

This paper reviews recent advances in understanding non-equilibrium dynamics in many-body localized systems, emphasizing quantum information concepts and renormalization group methods to identify universal behaviors and open questions.

Contribution

It provides a comprehensive survey of the application of renormalization group techniques and quantum information theory to many-body localization dynamics, highlighting key open problems.

Findings

Universal aspects of non-equilibrium dynamics identified

Renormalization group methods effectively capture localization phenomena

Open questions include phase transition characterization

Abstract

We survey the recent progress made in understanding non equilibrium dynamics in closed random systems. The emphasis is on the important role played by concepts from quantum information theory and on the application of systematic renormalization group methods to capture universal aspects of the dynamics. Finally we outline some outstanding open questions, which includee the description of the many-body localization phase transition and identifying physical systems that will allow systematic experimental study of these phenomena.