A. V. Prokhorov

Formation of plasmon pulses in the cooperative decay of excitons of quantum dots near a metal surface

The formation of pulses of surface electromagnetic waves at a metal–dielectric boundary is considered in the process of cooperative decay of excitons of quantum dots distributed near a metal surface in a dielectric layer. It is shown that the efficiency of exciton energy transfer to excited plasmons can, in principle, be increased by selecting the dielectric material with specified values of the complex permittivity. It is found that in the mean field approximation, the semiclassical model of formation of plasmon pulses in the system under study is reduced to the pendulum equation with the additional term of nonlinear losses.

The effect of atomic and optical perturbations on formation and propagation of vortex solitons in a dense atomic media of gas-filled hollow-core optical fibers

We consider the influence of optical and temperature-dependent atomic fluctuations on the formation and propagation of optical vortex solitons in dense media realized as hollow-core optical fibers filled with a cold atomic gas in presence of optical pumping. We show different perturbation-induced scenaria of complete destruction and smooth transformation of the topological characteristics of localized optical patterns in hollow-core fiber. The maximum levels of optical and atomic fluctuations at which the soliton regime can be maintained has been determined. The estimates for these levels show that it is possible to observe the optical vortex solitions in the core-filling gas of the fiber for temperatures smaller than the critical temperature of Bose-Einstein condensate.

Dissipative Optical Solitons in Dense Media with Optical Pumping

The problem of nonlinear scattering of optical pulses in a dense three-level atomic medium with continuous pumping is considered with allowance for the local field effects. The physical requirements on the parameters of the medium and field are formulated, and the ranges of these parameters for which stationary solitons are effectively formed in the model of a quartz waveguide doped with 87Rb atoms are determined using variational methods. It is found that disregarding the local field in this model results in violation of soliton stability in the predicted parameter range.

Cooperative effects in a quartz medium with quantum dots

Features of the generation of super radiance short pulses in a dielectric medium with quantum dots allowing for the nonlinear dissipative effects of the local field are considered. It is shown that the problem can be reduced to an equation of a nonlinear pendulum with an additional term for the harmonic loss/gain.

Dissipative laser bullets in dielectric media containing quantum dots

The formation of three-dimensional spatiotemporal dissipative solitons (laser bullets) in a dense ensemble of two-level quantum dots imbedded into a dielectric host is analyzed theoretically taking into account complex local field corrections. The possibility of satisfying stability conditions for laser bullets in a wide range of concentration and quantum dot size parameters is demonstrated. Substantial increase in dimensions of the found areas of stability when choosing all-dielectric metamaterials as a host medium is revealed.

On the Effect of Dipole–Dipole Interactions on the Quantum Statistics of Surface Plasmons in Multiparticle Spaser Systems

The problem of controlling the quantum dynamics of localized plasmons has been considered in the model of a four-particle spaser composed of metallic nanoparticles and semiconductor quantum dots. Conditions for the observation of stable steady-state regimes of the formation of surface plasmons in this model have been determined in the mean-field approximation. It has been shown that the presence of strong dipole–dipole interactions between metallic nanoparticles of the spaser system leads to a considerable change in the quantum statistics of plasmons generated on the nanoparticles.

Formation of sub-picosecond plasmon–polariton pulses via cooperative effects in a waveguide spaser

The formation of surface plasmon–polariton pulses excited in a waveguide spaser during the collective decay of quantum dot excitons distributed in a dielectric layer near a metallic surface is considered. The waveguide spaser’s physical parameters and regimes of generation suitable for the formation of sub-picosecond plasmon–polariton pulses are determined with allowance for dissipative effects in the considered system.

Formation of nonclassical states of vortex solitons in optical fibers with quantum dots

The problem of control for the quantum statistics of dissipative vortex optical solitons when using the Raman scheme of spin-flip transitions in an optical fiber doped with narrow-bandgap semiconductor quantum dots is considered. The possibility of forming individual bounded nonclassical quadrature squeezed light regions appearing within the spatial profile of a formed vortex soliton is demonstrated.

The optical control of spatial dissipative solitons in optical fibers filled with a cold atomic gas

We consider the problem of formation and propagation of optical vortex solitons in hollow-core optical fibres filled with a cold atomic gas for the case of the Raman regime in the Λ-scheme of interaction subject to the Lorentz local field effects and in the presence of optical and atomic perturbations. We shows that the coherent optical control by pump beam in such an atomic medium leads to effective development of dynamical equilibrium of diffraction, nonlinear and dissipative processes necessary to stabilize dissipative vortex solitons. We demonstrate that the generation of acoustic waves even with small amplitudes in the fiber can quickly destroy the soliton mode.

Optical control of vortices in dense media of gas-filled optical fibers

The problem of the formation of optical vortices in a medium composed of three-level atoms is analyzed with allowance for local-field effects in off-resonance Raman regimes of Λ-scheme interaction. The possibility of optical control of the vortex dynamics without disturbing their stability is demonstrated in the optically dense medium of a hollow fiber filled with 87Rb vapor.