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Atom-only descriptions of the driven dissipative Dicke model

Research output: Contribution to journalArticle

Author(s)

François Damanet, Andrew J. Daley, Jonathan Keeling

School/Research organisations

Abstract

We investigate how to describe the dissipative spin dynamics of the driven dissipative Dicke model, describing N two-level atoms coupled to a cavity mode, after adiabatic elimination of the cavity mode. To this end, we derive a Redfield master equation which goes beyond the standard secular approximation and large detuning limits. We show that the secular (or rotating wave) approximation and the large detuning approximation both lead to inadequate master equations, that fail to predict the Dicke transition or the damping rates of the atomic dynamics. In contrast, the full Redfield theory correctly predicts the phase transition and the effective atomic damping rates. Our work provides a reliable framework to study the full quantum dynamics of atoms in a multimode cavity, where a quantum description of the full model becomes intractable.
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Original languageEnglish
Article number033845
Number of pages10
JournalPhysical Review. A, Atomic, molecular, and optical physics
Volume99
Issue number3
Early online date25 Mar 2019
DOIs
Publication statusPublished - Mar 2019

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