Replica Symmetry Breaking in Cold Atoms and Spin Glasses

TL;DR

This paper demonstrates how a disordered multimode Dicke model with cold atoms can realize the Sherrington-Kirkpatrick spin glass model and exhibit Replica Symmetry Breaking, providing a platform for studying complex disordered systems.

Contribution

It shows that cold atom systems in multimode cavities can simulate spin glass models and observe RSB phenomena, bridging quantum optics and condensed matter physics.

Findings

Exact realization of the SK model in the zero field limit

Access to spin-glass observables via cavity parameters

Detection of Replica Symmetry Breaking in cold atom setups

Abstract

We consider a system composed by N atoms trapped within a multimode cavity, whose theoretical description is captured by a disordered multimode Dicke model. We show that in the resonant, zero field limit the system exactly realizes the Sherrington-Kirkpatrick model. Upon a redefinition of the temperature, the same dynamics is realized in the dispersive, strong field limit. This regime also gives access to spin-glass observables which can be used to detect Replica Symmetry Breaking.