[en] 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.
Disciplines :
Physics
Author, co-author :
Damanet, François ; Department of Physics and SUPA, University of Strathclyde, Glasgow G4 0NG, United Kingdom
Daley, Andrew J.; Department of Physics and SUPA, University of Strathclyde, Glasgow G4 0NG, United Kingdom
Keeling, Jonathan; SUPA, School of Physics and Astronomy, University of St Andrews, St Andrews KY16 9SS, United Kingdom)
Language :
English
Title :
Atom-only descriptions of the driven-dissipative Dicke model
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