Rényi entropy and quantum phase transition in the Dicke model

E. Romera, A. Nagy

Research output: Contribution to journalArticle

22 Citations (Scopus)

Abstract

The Rényi entropies of the Dicke model are presented. This quantum-optical model describes a single-mode bosonic field interacting with an ensemble of N two-level atoms. There is a quantum phase transition in the N→∞ limit. It is shown that there is an abrupt change in the Rényi entropy of order β at the transition point. Around the critical value of the coupling strength λc the Rényi entropy is proportional to the logarithm of the characteristic length and diverges as ln|λc-λ| for any order β. The pseudocapacity defined here in analogy with the heat capacity exhibits the phase transition. The critical exponent for the Dicke model is found to be 1 for any value of the parameter β.

Original languageEnglish
Pages (from-to)3066-3069
Number of pages4
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume375
Issue number34
DOIs
Publication statusPublished - Aug 8 2011

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entropy
transition points
logarithms
specific heat
exponents
atoms

Keywords

  • Dicke model
  • Quantum phase transition
  • Rényi entropy

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Rényi entropy and quantum phase transition in the Dicke model. / Romera, E.; Nagy, A.

In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 375, No. 34, 08.08.2011, p. 3066-3069.

Research output: Contribution to journalArticle

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