Fermionic formalism for driven-dissipative multilevel systems

Shchadilova, Yulia E.; Roses, Mor M.; Torre, Emanuele G. Dalla; Lukin, Mikhail D.; Demler, Eugene

doi:10.1103/physreva.101.013817

Cited by 27 publications

(20 citation statements)

References 72 publications

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“…This trend resembles the behavior predicted for the counterrotating (also known as inverted) and regular lasing regimes using a generalization of the Dicke model reported in Refs. [27][28][29]34]. Furthermore, the counterrotating lasing occurs below the population inversion d 0 < 0 and has a phase boundary with the superradiant state.…”

Section: B Second-moment Analysismentioning

confidence: 99%

“…The Dicke model provides a fundamental model of cavity QED and has been studied in a context of superradiant phase transition in both equilibrium and nonequilibrium regimes [27]. Its generalized version with imbalanced rotating and counterrotating terms has revealed a rich phase diagram allowing for the superradiant and various lasing states [27][28][29].…”

Section: Introductionmentioning

confidence: 99%

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Nonequilibrium states of a plasmonic Dicke model with coherent and dissipative surface-plasmon–quantum-emitter interactions

Piryatinski

Roslyak

et al. 2020

Phys. Rev. Research

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Hybrid photonic-plasmonic nanostructures allow one to engineer coupling of quantum emitters and cavity modes accounting for the direct coherent and environment-mediated dissipative pathways. Using the generalized plasmonic Dicke model, we explore the nonequilibrium phase diagram with respect to these interactions. The analysis shows that their interplay results in the extension of the superradiant and regular lasing states to the dissipative coupling regime and an emergent lasing phase without population inversion having a boundary with the superradiant and normal states. Calculated photon emission spectra are demonstrated to carry distinct signatures of these phases.

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Section: B Second-moment Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Nonequilibrium states of a plasmonic Dicke model with coherent and dissipative surface-plasmon–quantum-emitter interactions

Piryatinski

Roslyak

et al. 2020

Phys. Rev. Research

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show abstract

“…In this article, we use the Majorana Fermion representation of spin 1/2 systems [49][50][51][52][53] in combination with the diagrammatic method of Ref. 54 to compute λ L throughout the phase diagram to leading order in 1/N .…”

Section: Introductionmentioning

confidence: 99%

Scrambling in the Dicke model

Alavirad

Lavasani

2019

Phys. Rev. A

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The scrambling rate λL associated with the exponential growth of out-of-time-ordered correlators can be used to characterize quantum chaos. Here we use the Majorana Fermion representation of spin 1/2 systems to study quantum chaos in the Dicke model. We take the system to be in thermal equilibrium and compute λL throughout the phase diagram to leading order in 1/N . We find that the chaotic behavior is strongest close to the critical point. At high temperatures λL is nonzero over an extended region that includes both the normal and super-radiant phases. At low temperatures λL is nonzero in (a) close vicinity of the critical point and (b) a region within the super-radiant phase. In the process we also derive a new effective theory for the super-radiant phase at finite temperatures. Our formalism does not rely on the assumption of total spin conservation. arXiv:1808.02038v2 [cond-mat.stat-mech]

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“…While these observed scaling dependencies for the first burst peak of photon production from vacuum coincide with those for Dicke superradiant bursts 24 , they are not properly a superradiant phase however 32,36,40 . In order to understand better the nature of this enhanced vacuum photon production phase, it is informative to apply the unitary transformation U ¼ expðiπJ x =2Þ to the master Eq.…”

Section: Tls Defectsmentioning

confidence: 58%

Coherently amplifying photon production from vacuum with a dense cloud of accelerating photodetectors

Wang

Blencowe

2021

Commun Phys

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An accelerating photodetector is predicted to see photons in the electromagnetic vacuum. However, the extreme accelerations required have prevented the direct experimental verification of this quantum vacuum effect. In this work, we consider many accelerating photodetectors that are contained within an electromagnetic cavity. We show that the resulting photon production from the cavity vacuum can be collectively enhanced such as to be measurable. The combined cavity-photodetectors system maps onto a parametrically driven Dicke-type model; when the detector number exceeds a certain critical value, the vacuum photon production undergoes a phase transition from a normal phase to an enhanced superradiant-like, inverted lasing phase. Such a model may be realized as a mechanical membrane with a dense concentration of optically active defects undergoing gigahertz flexural motion within a superconducting microwave cavity. We provide estimates suggesting that recent related experimental devices are close to demonstrating this inverted, vacuum photon lasing phase.

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Fermionic formalism for driven-dissipative multilevel systems

Cited by 27 publications

References 72 publications

Nonequilibrium states of a plasmonic Dicke model with coherent and dissipative surface-plasmon–quantum-emitter interactions

Nonequilibrium states of a plasmonic Dicke model with coherent and dissipative surface-plasmon–quantum-emitter interactions

Scrambling in the Dicke model

Coherently amplifying photon production from vacuum with a dense cloud of accelerating photodetectors

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