2006/04/04 by Francesco Plastina, Giuseppe Liberti, Giuseppe Di Liberti +1 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Adiabatic process #Berry #Berry connection and curvature #Critical exponent #Critical phenomena #Critical point (mathematics) #Exponent #Geometric phase #Geometry #Mathematics #Phase (matter) #Phase transition #Physics #Quantum #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum critical point #Quantum mechanics #Quantum phase transition #Qubit #Scaling #Spectroscopy and Quantum Chemical Studies #Thermodynamic limit #quant-ph
paper · pdf · doi:10.1209/epl/i2006-10270-x
published as Europhys.Lett. 76, 182 (2006)
arxiv created 2006/04/04 · openalex publication_date 2006/09/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.