Volume 76, Number 2, October 2006
|Page(s)||182 - 188|
|Published online||20 September 2006|
Scaling of Berry's phase close to the Dicke quantum phase transition
Dipartimento di Fisica, Università della Calabria and Istituto Nazionale di Fisica Nucleare, Gruppo collegato di Cosenza I-87036 Arcavacata di Rende, Cosenza, Italy
2 Institute for Quantum Optics and Quantum Information of the Austrian Academy of Sciences - A-6020 Innsbruck, Austria
Accepted: 31 August 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 expansion of the Berry phase and its critical exponent.
PACS: 03.65.Vf – Phases: geometric; dynamic or topological / 42.50.Fx – Cooperative phenomena in quantum optical systems
© EDP Sciences, 2006
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