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Finite-size behavior of quantum collective spin systems

Source: Phys. Rev. A 81, 013818 (2010); doi:10.1103/PhysRevA.81.013818

Published 25 January 2010

PACS
  • 42.50.Ct
    Quantum description of interaction of light and matter; related experiments
  • 64.60.F-
    Equilibrium properties near critical points, critical exponents
  • 03.67.Mn
    Entanglement measures, witnesses, and other characterizations (quantum information)
  • YEAR: 2010
PUBLICATION DATA
Publisher:
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Giuseppe Liberti,1 Franco Piperno,1,2 and Francesco Plastina1,2
1Dipartimento di Fisica, Università della Calabria, I-87036 Arcavacata di Rende (CS), Italy
2INFN–Gruppo collegato di Cosenza, I-87036 Arcavacata di Rende (CS), Italy
We discuss the finite size behavior of the adiabatic Dicke model, describing the collective coupling of a set of N two-level atoms (qubits) to a faster (electromagnetic) oscillator mode. The energy eigenstates of this system are shown to be directly related to those of another widely studied collective spin model, the uniaxial one. By employing an approximate continuum approach, we obtain a complete characterization of the properties of the latter, which we then use to evaluate the scaling properties of various observables for the original Dicke model near its quantum phase transition. ©2010 The American Physical Society
History: Received 6 July 2009; published 25 January 2010
Permalink: http://link.aps.org/abstract/PRA/v81/e013818
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