Journal
EUROPHYSICS LETTERS
Volume 76, Issue 2, Pages 182-188Publisher
EDP SCIENCES S A
DOI: 10.1209/epl/i2006-10270-x
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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.
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