Universal dynamics and renormalization in many body localized systems

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.

Invited Review for Annual Reviews of Condensed Matter Physics