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Scaling of Berry's phase close to the Dicke quantum phase transition

  • Authors: Plastina, F; Liberti, G; Carollo, A
  • Publication year: 2006
  • Type: Articolo in rivista (Articolo in rivista)
  • Key words: Quantum phase transition, Berry phase
  • OA Link:


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