Atom-only descriptions of the driven-dissipative Dicke model
Damanet, François and Daley, Andrew J. and Keeling, Jonathan (2019) Atom-only descriptions of the driven-dissipative Dicke model. Physical Review A, 99 (3). 033845. ISSN 2469-9934 (https://doi.org/10.1103/PhysRevA.99.033845)
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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.
ORCID iDs
Damanet, François, Daley, Andrew J. ORCID: https://orcid.org/0000-0001-9005-7761 and Keeling, Jonathan;-
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Item type: Article ID code: 67477 Dates: DateEvent25 March 2019Published25 March 2019AcceptedSubjects: Science > Physics Department: Faculty of Science > Physics Depositing user: Pure Administrator Date deposited: 02 Apr 2019 19:34 Last modified: 04 Nov 2024 01:45 Related URLs: URI: https://strathprints.strath.ac.uk/id/eprint/67477