Atom-only descriptions of the driven-dissipative Dicke model

Research output: Contribution to journalArticle

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.

LanguageEnglish
Article number033845
Number of pages10
JournalPhysical Review A
Volume99
Issue number3
DOIs
Publication statusPublished - 25 Mar 2019

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cavities
damping
approximation
atoms
spin dynamics
elimination

Keywords

  • Dicke model
  • rotating wave approximation
  • spin dynamics

Cite this

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title = "Atom-only descriptions of the driven-dissipative Dicke model",
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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Atom-only descriptions of the driven-dissipative Dicke model. / Damanet, François; Daley, Andrew J.; Keeling, Jonathan.

In: Physical Review A, Vol. 99, No. 3, 033845, 25.03.2019.

Research output: Contribution to journalArticle

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T1 - Atom-only descriptions of the driven-dissipative Dicke model

AU - Damanet, François

AU - Daley, Andrew J.

AU - Keeling, Jonathan

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N2 - 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.

AB - 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.

KW - Dicke model

KW - rotating wave approximation

KW - spin dynamics

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