Abstract
We consider the equilibrium thermodynamics of a Dicke-type model forN identical spins of arbitrary magnitude interacting linearly and homogeneously with a boson field in a volumeV N, in the limitN→∞,V N→∞, withN/V N=const. The system exhibits a second-order phase transition; complete information on the spin polarizations and their correlations is obtained. The proofs use a general result on the free energy of quantum spin systems based on the large deviation principle and the Berezin-Lieb inequalities.
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Lewis, J.T., Raggio, G.A. The equilibrium thermodynamics of a spin-boson model. J Stat Phys 50, 1201–1220 (1988). https://doi.org/10.1007/BF01019161
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DOI: https://doi.org/10.1007/BF01019161