Facets of Many Body Localization

TL;DR

This paper reviews various facets of many-body localization (MBL), focusing on how disorder types and models influence ergodicity breaking in interacting quantum systems.

Contribution

It provides a comprehensive overview of different disorder implementations and models, including the quantum sun model, in the study of MBL.

Findings

Disorder types significantly affect MBL behavior

Quasiperiodic and bond disorder are key in MBL studies

The quantum sun model exemplifies MBL phenomena

Abstract

Many-body localization (MBL) appears to be a robust example of ergodicity breaking in many-body interacting systems. Here, we review different aspects of MBL, concentrating on various ways the disorder may be introduced into the system studied. In particular, we consider both the random and quasiperiodic diagonal (i.e., on-site) disorder as well as bond disorder as realized in randomly distributed atoms interacting via long-range interactions. We also review the quantum sun model, which seems to be the ideal, albeit artificial, model exhibiting MBL.