Abstract
We study the dynamics of the Dicke maser model in the limit as the number of atoms becomes infinite and the coupling constant between the atoms and the radiation field goes to zero. We find that the limiting Hamiltonian is integrable and obtain an explicit closed form for the unitary time evolution operators. As a corollary we show that in the limit the radiation emitted by the model is coherent in the sense by Glauber.
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Davies, E.B. Exact dynamics of an infinite-atom Dicke maser model. Commun.Math. Phys. 33, 187–205 (1973). https://doi.org/10.1007/BF01667916
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DOI: https://doi.org/10.1007/BF01667916