# Unified Superradiant phase transitions

## TL;DR

This paper demonstrates that superradiant phase transitions in Dicke and classical oscillator models are fundamentally the same, providing a unified theoretical framework and analyzing their structure and symmetry properties.

## Contribution

It offers a unified proof that superradiant phase transitions are of the same type across different models, with exact mean-field analysis and symmetry considerations.

## Key findings

- Superradiant transitions are of the same type in Dicke and classical oscillator models.
- Mean-field approximation is exact for these transitions.
- General features of phase structure are uncovered across models.

## Abstract

We prove, by means of a unified treatment, that the superradiant phase transitions of Dicke and classical oscillator limits of simple light-matter models are indeed of the same type. We show that the mean-field approximation is exact in both cases, and compute the structure and location of the transitions in parameter space. We extend this study to a fuller range of models, paying special attention to symmetry considerations. We uncover general features of the phase structure in the space of parameters of these models.