Journal of Statistical Physics, Vol. 119, Nos. 1/2, April 2005. p. 309-329.
DOI: 10.1007/s10955-004-2007-z
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 sup-erradiance. In this paper we formalize 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 ther-modynamic functions giving explicit formulae expressing the cooperative effect between Bose-Einstein condensation and superradiance.