Classical and Semiclassical Treatment of the Phase Transition in Dicke Models

Gilmore, R.; Bowden, C. M.

doi:10.1007/978-1-4684-2415-7_14

R. Gilmore³^nAff4 &
C. M. Bowden³

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Abstract

A physically intuitive and mathematically transparent method is presented for determining the range of yalues of the coupling constants for which a phase transition is to be expected in Dicke models. This “classical” method provides information about the free energy and order parameters at T = O. A second method, as physically transparent and involving no mathematics more difficult than the diagonalization of a 2 × 2 matrix, is then presented. This “semiclassical” method is sufficient to determine the free energy and the system order parameters as a function of temperature. It also determines the critical temperature of the phase transition, if any occurs. The “semiclassical” method provides values for intensive parameters which are rigorously correct in the thermodynamic limit.

Work partially supported by the US Army Research Office, Durham,North Carolina, Grant DAHC04-72-0001.

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R. Gilmore
Present address: Physics Department, University of South Florida, Tampa, Florida, 33620, USA

Authors and Affiliations

Quantum Physics, Physical Sciences Directorate, US Army Missile Research and Development Command, Redstone Arsenal, AL, 35809, USA
R. Gilmore & C. M. Bowden

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R. Gilmore
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C. M. Bowden
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Editors and Affiliations

U. S. Army Missile Research and Development Command, Redstone Arsenal, Alabama, USA
Charles M. Bowden & D. W. Howgate &
U.S. Army Research Office, Research Triangle Park, North Carolina, USA
Hermann R. Robl

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Gilmore, R., Bowden, C.M. (1977). Classical and Semiclassical Treatment of the Phase Transition in Dicke Models. In: Bowden, C.M., Howgate, D.W., Robl, H.R. (eds) Cooperative Effects in Matter and Radiation. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-2415-7_14

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DOI: https://doi.org/10.1007/978-1-4684-2415-7_14
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4684-2417-1
Online ISBN: 978-1-4684-2415-7
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