# Revisiting classical and quantum disordered systems from the unifying perspective of large deviations

## TL;DR

This paper explores classical and quantum disordered systems through the lens of large deviations theory, providing a unified framework to understand both typical and rare events across different scales.

## Contribution

It offers a pedagogical review that unifies the analysis of classical and quantum disordered systems using large deviations, highlighting common underlying mechanisms.

## Key findings

- Unified perspective on classical and quantum disordered systems
- Large deviations effectively describe typical and rare events
- Highlights common mechanisms across different disordered systems

## Abstract

The theory of large deviations is already the natural language for the statistical physics of equilibrium and non-equilibrium. In the field of disordered systems, the analysis via large deviations is even more useful to describe within a unified perspective the typical events and the rare events that occur on various scales. In the present pedagogical introduction, we revisit various emblematic classical and quantum disordered systems in order to highlight the common underlying mechanisms from the point of view of large deviations.