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Fisher information, Rényi entropy power and quantum phase transition in the Dicke model

Authors
Journal
Physica A Statistical Mechanics and its Applications
0378-4371
Publisher
Elsevier
Publication Date
Volume
391
Issue
13
Identifiers
DOI: 10.1016/j.physa.2012.02.024
Keywords
  • Quantum Phase Transition
  • Dicke Model
  • Fisher Information
  • Fisher-Rényi Information Product
Disciplines
  • Physics

Abstract

Abstract Fisher information, Rényi entropy power and Fisher–Rényi information product are presented for the Dicke model. There is a quantum phase transition in this quantum optical model. It is pointed out that there is an abrupt change in the Fisher information, Rényi entropy power, the Fisher, Shannon and Rényi lengths at the transition point. It is found that these quantities diverge as the characteristic length: |λc−λ|−1/4 around the critical value of the coupling strength λc for any value of the parameter β.

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