Comment on equivalence between quantum phase transition phenomena in radiation-matter and magnetic systems
J. G. Brankov, N. S. Tonchev, V. A. Zagrebnov
Abstract
In this Comment we show that the temperature-dependent effective Hamiltonian derived by Reslen et al [Europhys. Lett., 69 (2005) 8] or that one by Liberti and Zaffino [arXiv:cond-mat/0503742] for the Dicke model cannot be correct for any temperature. They both violate a rigorous result. The former is correct only in the quantum (zero-temperature) limit while the last one only in the classical (infinite temperature) limit. The fact that the Dicke model belongs to the universality class of the infinitely coordinated transverse-field XY model is known for more then 30 years.
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