# On weak ergodicity breaking in mean-field spin glasses

## TL;DR

This paper challenges the weak ergodicity breaking hypothesis in mean-field spin glasses, showing it does not hold universally and prompting a re-evaluation of certain theoretical assumptions in glass physics.

## Contribution

The study provides evidence that the weak ergodicity breaking hypothesis fails for specific mean-field spin glass models, indicating the need to revisit some technical aspects of glass aging theories.

## Key findings

- Weak ergodicity breaking does not hold for certain mean-field spin glass models.
- Some aspects of glass aging theory require re-examination.
- The qualitative picture of aging remains largely unaffected.

## Abstract

The weak ergodicity breaking hypothesis postulates that out-of-equilibrium glassy systems lose memory of their initial state despite being unable to reach an equilibrium stationary state. It is a milestone of glass physics, and has provided a lot of insight on the physical properties of glass aging. Despite its undoubted usefulness as a guiding principle, its general validity remains a subject of debate. Here, we present evidence that this hypothesis does not hold for a class of mean-field spin glass models. While most of the qualitative physical picture of aging remains unaffected, our results suggest that some important technical aspects should be revisited.