# Classical Glasses, Black Holes, and Strange Quantum Liquids

## TL;DR

This paper explores the deep connections between classical glass models and quantum systems, revealing how classical dynamics can inform quantum properties like entropy and phase transitions, with implications for understanding complex quantum liquids.

## Contribution

It introduces a mapping from classical glass models to quantum models exhibiting SYK-like features, linking metastable states to quantum spectral properties.

## Key findings

- Quantum models derived from classical glasses have finite zero-temperature entropy.
- The quantum transition at zero temperature is characterized by time-reparametrization invariance.
- The eigenvalue spectrum relates to the exploration of metastable states in classical landscapes.

## Abstract

From the dynamics of a broad class of classical mean-field glass models one may obtain a quantum model with finite zero-temperature entropy, a quantum transition at zero temperature, and a time-reparametrization (quasi-)invariance in the dynamical equations for correlations. The low eigenvalue spectrum of the resulting quantum model is directly related to the structure and exploration of metastable states in the landscape of the original classical glass model. This mapping reveals deep connections between classical glasses and the properties of SYK-like models.