Scaling of Berry's phase close to the Dicke quantum phase transition
Francesco Plastina, Giuseppe Di Liberti, Angelo C. M. Carollo · Europhysics Letters (EPL) · 2006
We discuss the thermodynamic and finite-size scaling properties of the geometric phase in the adiabatic Dicke model, describing a quantum 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 orders in the 1/ N expansion of the Berry phase and its critical exponent.