Dynamics of superradiant media in a resonator

Cooperative radiation emitted by an ensemble of three-level optical systems with a doublet in the ground state (Λ scheme), which is placed into a cyclic cavity, is studied theoretically. In contrast to the twolevel model of emitters, this process with such a configuration of operating transitions may occur without population inversion in the whole, if the doublet is prepared at the initial instant in a superposition (coherent) state. In the ideal case of a Hamilton system, in which the cavity losses and relaxation in the radiator ensemble are disregarded, the conservation laws are derived, which allow a substantial reduction of the dimension of the phase space of the model (ℝ 11 → ℝ 5 ) and the application of methods of dynamics of nonlinear systems for analyzing the three-level superradiance under these conditions. The possibility of different (both quasiperiodic and chaotic) scenarios of the three-level superradiance is demonstrated on the basis of Poincaré's mappings. Global bifurcation of the system upon a transition from the conventional superradiance regime to inversionless one is revealed. The effects of cavity losses, as well as homogeneous and inhomogeneous broadening in the system of radiators on the regularities found are also discussed.

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Cooperative emission from an ensemble of three-level Λ radiators in a cavity: An insight from the viewpoint of dynamics of nonlinear systems

Рыжов

Vasil'ev

Kosova

et al. 2017

J. Exp. Theor. Phys.

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New space-time effects in superradiance: Experiment and theory

Башаров

Znamenskii

Shashkov

2010

Bull. Russ. Acad. Sci. Phys.

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Superradiance: the principles of generation and implementation in lasers*

Kocharovsky,

Zheleznyakov,

Kocharovskaya

et al. 2017

Phys.-Usp.

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The electrodynamics of active continuous media is applied to theoretically examine collective spontaneous emission regimes of dipole oscillator ensembles. Recent experiments in which the superfluorescence phenomenon has been observed are reviewed. The focus is on propagation and interaction effects experienced by the inhomogeneous waves of active center polarization and electromagnetic fields. The superradiant laser dynamics is examined and prospects for the realization of superradiant lasers using low-Q cavities are discussed.

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Dynamics of superradiant media in a resonator

Cited by 5 publications

References 10 publications

Cooperative emission from an ensemble of three-level Λ radiators in a cavity: An insight from the viewpoint of dynamics of nonlinear systems

Cooperative emission from an ensemble of three-level Λ radiators in a cavity: An insight from the viewpoint of dynamics of nonlinear systems

New space-time effects in superradiance: Experiment and theory

Superradiance: the principles of generation and implementation in lasers*

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