Quantum optical properties of the radiation field in the Dicke model

T. C. Jarrett, A. Olaya-Castro, N. F. Johnson

Research output: Contribution to journalArticle

1 Scopus citations

Abstract

We study the optical signatures of the quantum critical behaviour associated with the quantum phase transition exhibited by the Dicke model in the thermodynamic limit. We obtain an effective Hamiltonian for the radiation field, which resembles a degenerate parametric amplifier and which reproduces the Dicke's model critical behaviour. We identify the state of the radiation field in the sub-radiant and super-radiant phases, and show that the optical squeezing and photon statistics present striking behaviour in the vicinity of the phase transition. Our results are both of theoretical interest and of relevance to recent experimental proposals that hope to realize the quantum phase transition in the Dicke model.

Original languageEnglish (US)
Article number012009
JournalJournal of Physics: Conference Series
Volume84
Issue number1
DOIs
StatePublished - Oct 1 2007

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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