Physics – Quantum Physics
Scientific paper
2006-04-04
Europhys.Lett. 76, 182 (2006)
Physics
Quantum Physics
Scientific paper
10.1209/epl/i2006-10270-x
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.
Carollo Angelo
Liberti Giuseppe
Plastina Francesco
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