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

Plastina, F., Liberti, G., Carollo, A. (2006). Scaling of Berry's phase close to the Dicke quantum phase transition. EUROPHYSICS LETTERS, 76(2), 182-188 [10.1209/epl/i2006-10270-x].

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

Carollo, Angelo
2006-01-01

Abstract

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
2006
Plastina, F., Liberti, G., Carollo, A. (2006). Scaling of Berry's phase close to the Dicke quantum phase transition. EUROPHYSICS LETTERS, 76(2), 182-188 [10.1209/epl/i2006-10270-x].
File in questo prodotto:
File Dimensione Formato  
DickeQPT.pdf

Solo gestori archvio

Dimensione 473.76 kB
Formato Adobe PDF
473.76 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/56107
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 45
  • ???jsp.display-item.citation.isi??? 43
social impact