Quantum phase transition of light in a finite size Dicke model with Kerr-type nonlinearity

Guo, Xiaoyong; Ren, Zhongzhou; Chi, Zimeng

doi:10.1364/josab.28.001245

Cited by 9 publications

(6 citation statements)

References 25 publications

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“…The existence of superradiant phase transitions (SPT) was rigourously shown [2,3] in the Tavis-Cummings model [4], which describes coupling of N spins to a single bosonic mode with dipolar coupling, but restricts it the Rotating Wave Approximation (RWA). Those early works also considered the extension to the multimode case, beyond the RWA and for a multitude of analogous models [5][6][7][8][9][10][11][12].…”

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confidence: 99%

Unified superradiant phase transitions

et al. 2019

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We prove, by means of a unified treatment, that the superradiant phase transitions of Dicke and classical oscillator limits of simple light-matter models are indeed of the same type. We show that the mean-field approximation is exact in both cases, and compute the structure and location of the transitions in parameter space. We extend this study to a fuller range of models, paying special attention to symmetry considerations. We uncover general features of the phase structure in the space of parameters of these models.

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confidence: 99%

Unified superradiant phase transitions

et al. 2019

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“…In Ref. [23] we proposed a similar setup where a two-level atomic ensemble plays the role of QD excitons.…”

Section: Modelmentioning

confidence: 99%

“…Therefore it is also interesting to explore the consequences if the converse is true. In a recent work [23], a generalized Dicke model was proposed in which we introduced the repulsive interaction among photons (i.e., the Kerr nonlinearity in the quantum level) and in the mean time the exciton-exciton interaction was omitted. The photons in our model were confined in a cavity and treated as interacting bosons.…”

Section: Introductionmentioning

confidence: 99%

Polariton condensation with nonlinear photons

Guo

Ren

Chi³

2012

Phys. Rev. A

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In this paper we propose a model of polariton condensation with Kerr-type nonlinear photons. We introduce a generalized Dicke Hamiltonian to describe our system. By constructing the partition function as a path integral, the analytical and numerical solutions are presented. On the mean-field level, it is shown that the polariton condensation can occur and the Kerr nonlinearity affects the character of the polariton condensate. As the nonlinear coefficient increases, the condensate evolves from more photon-like to more exciton-like. Although the photon nonlinearity gives rise to a chemical potential greater than the photon energy, the quasiparticle excitation spectrum is still fully gapped. For the condensate collective excitations, the nonlinearity destroys the Goldstone modes and mixes the phase modes with the amplitude modes, resulting four non-zero-frequency collective modes. In addition, the influence of the photon-exciton detuning on the polariton condensate is also discussed.

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“…In the thermodynamic limit, this level crossover becomes a real QPT, exhibiting a discontinuity in the derivatives of the ground state energy, the average number of photons and of excited atoms [9]. QPT have been characterized in several extended Dicke models, adding the interaction between the atoms [10]- [14], nonlinear light interactions [15,16], atom-optomechanical systems [17], and others. These studies generated interesting theoretical advances, but the experimental observation of the superradiant phase in a cavity-atom system remains challenging.…”

Section: Introductionmentioning

confidence: 99%

Quantum Phase Transition and Berry Phase in an Extended Dicke Model

Guerra¹,

Mahecha-Gómez

Hirsch

2020

Preprint

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We investigate quantum phase transitions, quantum criticality, and Berry phase for the ground state of an ensemble of non-interacting two-level atoms embedded in a non-linear optical medium, coupled to a single-mode quantized electromagnetic field. The optical medium is pumped externally through a classical electric field, so that there is a degenerate parametric amplification effect, which strongly modifies the field dynamics without affecting the atomic sector. Through a semiclassical description the different phases of this extended Dicke model are described. The quantum phase transition is characterized with the expectation values of some observables of the system as well as the Berry phase and its first derivative, where such quantities serve as order parameters. It is remarkable that the model allows the control of the quantum criticality through a suitable choice of the parameters of the non-linear optical medium, which could make possible the use of a low intensity laser to access the superradiant region experimentally.

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Quantum phase transition of light in a finite size Dicke model with Kerr-type nonlinearity

Cited by 9 publications

References 25 publications

Unified superradiant phase transitions

Unified superradiant phase transitions

Polariton condensation with nonlinear photons

Quantum Phase Transition and Berry Phase in an Extended Dicke Model

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