A Dicke Type Model for Equilibrium BEC Superradiance

TL;DR

This paper introduces a solvable microscopic Dicke-type model that describes the interplay between Bose-Einstein condensation and superradiance, providing explicit formulas for equilibrium states and thermodynamic functions.

Contribution

It formalizes a model with a two-level Bose condensate system exhibiting cooperative effects, advancing understanding of BEC superradiance.

Findings

Explicit equilibrium states derived

Thermodynamic functions computed

Cooperative effect between BEC and superradiance demonstrated

Abstract

We study the effect of electromagnetic radiation on the condensate of a Bose gas. In an earlier paper we considered the problem for two simple models showing the cooperative effect between Bose-Einstein condensation and superradiance. In this paper we formalise the model suggested by Ketterle et al in which the Bose condensate particles have a two level structure. We present a soluble microscopic Dicke type model describing a thermodynamically stable system. We find the equilibrium states of the system and compute the thermodynamic functions giving explicit formulae expressing the cooperative effect between Bose-Einstein condensation and superradiance.