dorsal/arxiv
View SchemaOnce more on the equivalence between quantum phase transition phenomena in radiation-matter and magnetic systems
| Authors | J. G. Brankov, N. S. Tonchev, V. A. Zagrebnov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0508039 |
| URL | https://arxiv.org/abs/quant-ph/0508039 |
Abstract
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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"abstract": "In answer to the replies of Reslen {\\it et al} [arXiv: quant-ph/0507164\n(2005)], and Liberti and Zaffino [arXiv:cond-mat/0507019, (2005)], we comment\nonce more on the temperature-dependent effective Hamiltonians for the Dicke\nmodel derived by them in [Europhys. Lett., {\\bf 69} (2005) 8] and [Eur. Phys.\nJ., {\\bf 44} (2005) 535], respectively. These approximate Hamiltonians cannot\nbe correct for any finite nonzero temperature because they both violate a\nrigorous result. The fact that the Dicke model belongs to the universality\nclass of, and its thermodynamics is described by the infinitely coordinated\ntransverse-field XY model is known for more than 30 years.",
"arxiv_id": "quant-ph/0508039",
"authors": [
"J. G. Brankov",
"N. S. Tonchev",
"V. A. Zagrebnov"
],
"categories": [
"quant-ph"
],
"title": "Once more on the equivalence between quantum phase transition phenomena in radiation-matter and magnetic systems",
"url": "https://arxiv.org/abs/quant-ph/0508039"
},
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