The free energy of the spin-boson model |
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| Authors: | G A Raggio |
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| Institution: | (1) Dublin Institute for Advanced Studies, 10 Burlington Road, Dublin 4, Ireland |
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| Abstract: | Forn spins 1/2 coupled linearly to a boson field in a volumeV
n, the existence of the specific free energy is proved in the limitn   ,V
n withn/V
n=const. The interaction is essentially of the mean field type, in as much as it is proportional to 1/ V
n; the coupling constants are allowed to be spin dependent. A variational expression is obtained for the limiting specific free energy, and a critical temperature is identified above which the system behaves as if there were no coupling at all. |
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| Keywords: | Spins coupled to a boson field thermodynamics of two-level atoms interacting with radiation phase transition |
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