Scaling of Berry's phase close to the Dicke quantum phase transition
| Autor: | Francesco Plastina, Giuseppe Liberti, Angelo Carollo |
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| Přispěvatelé: | Plastina, F, Liberti, G, Carollo, A |
| Rok vydání: | 2006 |
| Předmět: |
Quantum phase transition
Physics Quantum Physics Phase transition FOS: Physical sciences General Physics and Astronomy Geometric phase Critical point (thermodynamics) Quantum mechanics Qubit Thermodynamic limit Quantum phase transition Berry phase Quantum Physics (quant-ph) Adiabatic process Critical exponent |
| Zdroj: | Europhysics Letters (EPL). 76:182-188 |
| ISSN: | 1286-4854 0295-5075 |
| DOI: | 10.1209/epl/i2006-10270-x |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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