dorsal/arxiv
View SchemaComment on 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/0506207 |
| URL | https://arxiv.org/abs/quant-ph/0506207 |
Abstract
In this Comment we show that the temperature-dependent effective Hamiltonian derived by Reslen {\it et al} [Europhys. Lett., {\bf 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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"date_created": "2026-03-02T18:02:16.542000Z",
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"abstract": "In this Comment we show that the temperature-dependent effective Hamiltonian\nderived by Reslen {\\it et al} [Europhys. Lett., {\\bf 69} (2005) 8] or that one\nby Liberti and Zaffino [arXiv:cond-mat/0503742] for the Dicke model cannot be\ncorrect for any temperature. They both violate a rigorous result. The former is\ncorrect only in the quantum (zero-temperature) limit while the last one only in\nthe classical (infinite temperature) limit. The fact that the Dicke model\nbelongs to the universality class of the infinitely coordinated\ntransverse-field XY model is known for more then 30 years.",
"arxiv_id": "quant-ph/0506207",
"authors": [
"J. G. Brankov",
"N. S. Tonchev",
"V. A. Zagrebnov"
],
"categories": [
"quant-ph"
],
"title": "Comment on equivalence between quantum phase transition phenomena in radiation-matter and magnetic systems",
"url": "https://arxiv.org/abs/quant-ph/0506207"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "0583f76e-dd64-4361-9216-30bf556aa0a2",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
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