dorsal/arxiv
View SchemaScaling of Berry's Phase Close to the Dicke Quantum Phase Transition
| Authors | Francesco Plastina, Giuseppe Liberti, Angelo Carollo |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0604011 |
| URL | https://arxiv.org/abs/quant-ph/0604011 |
| DOI | 10.1209/epl/i2006-10270-x |
| Journal | Europhys.Lett. 76, 182 (2006) |
Abstract
We discuss the thermodynamic and finite size scaling properties of the geometric phase in the adiabatic Dicke model, describing the super-radiant phase transition for an $N$ qubit register coupled to a slow oscillator mode. We show that, in the thermodynamic limit, a non zero Berry phase is obtained only if a path in parameter space is followed that encircles the critical point. Furthermore, we investigate the precursors of this critical behavior for a system with finite size and obtain the leading order in the 1/N expansion of the Berry phase and its critical exponent.
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"abstract": "We discuss the thermodynamic and finite size scaling properties of the\ngeometric phase in the adiabatic Dicke model, describing the super-radiant\nphase transition for an $N$ qubit register coupled to a slow oscillator mode.\nWe show that, in the thermodynamic limit, a non zero Berry phase is obtained\nonly if a path in parameter space is followed that encircles the critical\npoint. Furthermore, we investigate the precursors of this critical behavior for\na system with finite size and obtain the leading order in the 1/N expansion of\nthe Berry phase and its critical exponent.",
"arxiv_id": "quant-ph/0604011",
"authors": [
"Francesco Plastina",
"Giuseppe Liberti",
"Angelo Carollo"
],
"categories": [
"quant-ph"
],
"doi": "10.1209/epl/i2006-10270-x",
"journal_ref": "Europhys.Lett. 76, 182 (2006)",
"title": "Scaling of Berry\u0027s Phase Close to the Dicke Quantum Phase Transition",
"url": "https://arxiv.org/abs/quant-ph/0604011"
},
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