Once more on the equivalence between quantum phase transition phenomena in radiation-matter and magnetic systems

Details Once more on the equivalence between quantum phase transition phenomena in radiation-matter and magnetic systems Once more on the equivalence between quantum phase transition phenomena in radiation-matter and magnetic systems

2005-08-04

arxiv.org/abs/quant-ph/0508039v1

Physics

Quantum Physics

3 pages

Scientific paper

In answer to the replies of Reslen {\it et al} [arXiv: quant-ph/0507164 (2005)], and Liberti and Zaffino [arXiv:cond-mat/0507019, (2005)], we comment once more on the temperature-dependent effective Hamiltonians for the Dicke model derived by them in [Europhys. Lett., {\bf 69} (2005) 8] and [Eur. Phys. J., {\bf 44} (2005) 535], respectively. These approximate Hamiltonians cannot be correct for any finite nonzero temperature because they both violate a rigorous result. The fact that the Dicke model belongs to the universality class of, and its thermodynamics is described by the infinitely coordinated transverse-field XY model is known for more than 30 years.

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