dorsal/arxiv
View SchemaCritical Property of Geometric Phase in the Dicke Model
| Authors | Gang Chen, Juqi Li, J. -Q. Liang |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0608207 |
| URL | https://arxiv.org/abs/quant-ph/0608207 |
| DOI | 10.1103/PhysRevA.74.054101 |
Abstract
We obtain the ground-state energy level and associated geometric phase in the Dicke model analytically by means of the Holstein-Primakoff transformation and the boson expansion approach in the thermodynamic limit. The non-adiabatic geometric phase induced by the photon field is derived with the time-dependent unitary transformation. It is shown that the quantum phase transition characterized by the non-analyticity of the geometric phase is remarkably of the first-order. We also investigate the scaling behavior of the geometric phase at the critical point, which can be measured in a practical experiment to detect the quantum phase transition.
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"abstract": "We obtain the ground-state energy level and associated geometric phase in the\nDicke model analytically by means of the Holstein-Primakoff transformation and\nthe boson expansion approach in the thermodynamic limit. The non-adiabatic\ngeometric phase induced by the photon field is derived with the time-dependent\nunitary transformation. It is shown that the quantum phase transition\ncharacterized by the non-analyticity of the geometric phase is remarkably of\nthe first-order. We also investigate the scaling behavior of the geometric\nphase at the critical point, which can be measured in a practical experiment to\ndetect the quantum phase transition.",
"arxiv_id": "quant-ph/0608207",
"authors": [
"Gang Chen",
"Juqi Li",
"J. -Q. Liang"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.74.054101",
"title": "Critical Property of Geometric Phase in the Dicke Model",
"url": "https://arxiv.org/abs/quant-ph/0608207"
},
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