# From chaos to many-body localization: some introductory notes

## TL;DR

This paper introduces the concept of many-body localization, exploring its quantum coherence origins, relation to classical chaos, and methods to identify it in interacting spin chains, highlighting its significance in quantum dynamics.

## Contribution

It provides an introductory overview of many-body localization, connecting classical chaos, quantum coherence, and disorder effects, with practical identification methods for interacting systems.

## Key findings

- Dynamical localization arises from quantum coherence in chaotic systems
- Disorder-induced Anderson localization is discussed in the context of quantum systems
- A practical method to identify many-body localization in spin chains is demonstrated

## Abstract

Staring from the kicked rotator as a paradigm for a system exhibiting classical chaos, we discuss the role of quantum coherence resulting in dynamical localization in the kicked quantum rotator. In this context, the disorder-induced Anderson localization is also discussed. Localization in interacting, quantum many-body systems (many-body localization) may also occur in the absence of disorder, and a practical way to identify its occurrence is demonstrated for an interacting spin chain.