Atom-only descriptions of the driven dissipative Dicke model
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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.
Damanet , F , Daley , A J & Keeling , J 2019 , ' Atom-only descriptions of the driven dissipative Dicke model ' , Physical Review. A, Atomic, molecular, and optical physics , vol. 99 , no. 3 , 033845 . https://doi.org/10.1103/PhysRevA.99.033845
Physical Review. A, Atomic, molecular, and optical physics
© 2019, American Physical Society. This work has been made available online in accordance with the publisher's policies. This is the author created accepted version manuscript following peer review and as such may differ slightly from the final published version. The final published version of this work is available at https://doi.org/10.1103/PhysRevA.99.033845
DescriptionFunding: F.D. and A.D. acknowledge support from the EPSRC Programme Grant Des-OEQ (EP/P009565/1), and by the EOARD via AFOSR grant number FA9550-18-1-0064. J. K. acknowledges support from SU2P.
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