Mean field description of the Dicke Model

TL;DR

This paper presents a mean field approach to the Dicke model using Holstein-Primakoff transformation, simplifying the energy surface in the thermodynamic limit for analyzing many observables.

Contribution

It introduces a mean field framework for the Dicke model employing Holstein-Primakoff realization, providing a simplified energy surface in the large atom limit.

Findings

Energy surface simplifies in the thermodynamic limit

Allows direct analysis of many observables

Provides a new mean field perspective on the Dicke model

Abstract

A mean field description of the Dicke model is presented, employing the Holstein-Primakoff realization of the angular momentum algebra. It is shown that, in the thermodynamic limit, when the number of atoms interacting with the photons goes to infinity the energy surface takes a simple form, allowing for a direct description of many observables.