# Typicality of Prethermalization

## TL;DR

This paper analytically demonstrates that prethermalization, a prolonged non-thermal state before eventual thermal equilibrium, is a common feature in a broad class of weakly perturbed integrable many-body systems.

## Contribution

It extends Deutsch's framework to analytically predict the typicality of prethermalization in general weakly perturbed integrable systems.

## Key findings

- Prethermalization occurs in a wide range of weakly perturbed integrable systems.
- Analytical predictions confirm the typicality of prethermalization.
- The framework generalizes previous understanding of relaxation dynamics.

## Abstract

Prethermalization refers to the remarkable relaxation behavior which an integrable many-body system in the presence of a weak integrability-breaking perturbation may exhibit: After initial transients have died out, it stays for a long time close to some non-thermal steady state, but on even much larger time scales it ultimately switches over to the proper thermal equilibrium behavior. By extending Deutsch's conceptual framework from Phys. Rev. A 43, 2046 (1991), we analytically predict that prethermalization is a typical feature for a very general class of such weakly perturbed systems.