Dissipative Dicke model with nonlinear atom-photon interaction

We study a generalized Dicke model, as recently realized in an atomic quantum gas experiment, describing the collective interaction of N two-level atoms with a single cavity mode. The model takes account of dissipation of the cavity field, and includes a nonlinear atom-photon coupling, not present i...

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Published inJournal of physics. B, Atomic, molecular, and optical physics Vol. 46; no. 22; pp. 224012 - 12
Main Authors Grimsmo, A L, Parkins, A S
Format Journal Article
LanguageEnglish
Published IOP Publishing 28.11.2013
Subjects
Atomic properties
Coupling (molecular)
Dissipation
Holes
Joining
Mathematical analysis
Mathematical models
Nonlinearity
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Summary:We study a generalized Dicke model, as recently realized in an atomic quantum gas experiment, describing the collective interaction of N two-level atoms with a single cavity mode. The model takes account of dissipation of the cavity field, and includes a nonlinear atom-photon coupling, not present in the conventional Dicke model. We extend previous theoretical investigations of a semiclassical model by including all quantum effects and considering finite atom number N. Our results show good agreement between quantum expectation values and the semiclassical model as N is increased, but also show exotic behaviour for the corresponding quantum state as the nonlinear atom-photon coupling is varied. We consider the cavity-field Wigner function, the atomic Q-function for the collective spin, and the entanglement between the cavity mode and the spin.
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ISSN:0953-4075
1361-6455
DOI:10.1088/0953-4075/46/22/224012