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 logoORCID: https://orcid.org/0000-0001-9005-7761 and Keeling, Jonathan;
  • Item type:Article
    ID code:67477
    Dates:
    Date
    Event
    25 March 2019
    Published
    25 March 2019
    Accepted
    Subjects:Science > Physics
    Department:Faculty of Science > Physics
    Depositing user: Pure Administrator
    Date deposited:02 Apr 2019 19:34
    Last modified:11 Nov 2024 12:16
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/67477
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