Abstract
We study the multi-mode Dicke maser model, and analyze the conditions under which theA 2-term may be dropped from the hamiltonian. As far as the dynamics is concerned, theA 2-term may be dropped at the very beginning. As far as thermodynamics is concerned, there is mostly no need to keep theA 2-term. An exception is the case where one of the two states involved in the two-level atom approximation, is the atomic ground state. In general, however, dropping theA 2-term is an irrelevant modification. This result is obtained by partly diagonalizing the hamiltonian and applying the results of Hepp and Lieb.
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van Hemmen, J.L. The relevance of theA 2-term in the Dicke maser hamiltonian. Z. Physik B - Condensed Matter 38, 279–285 (1980). https://doi.org/10.1007/BF01315668
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DOI: https://doi.org/10.1007/BF01315668