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Optics and Spectroscopy

Dissipative laser bullets in dielectric media containing quantum dots

Mikhail Yu. Gubin, A. Yu. Leksin, M. G. Gladush, Sergei M Arakelyan, Alexei V. Prokhorov

Published Sep 1, 2015• 5 citations
Publisher

Abstract

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.

DOI
10.1134/s0030400x15090118

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EPJ Web of Conferences•Jan 1, 2015•1 citation
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.
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We summarize recent developments in the area of the coherent propagation of laser pulses through dielectric media.We will show that the principle of dynamical adiabaticity opens new avenues to control the non-perturbative .and resonant interaction between two laser pulses and a three-level medium.Examples include the formation of stable wave forms that can travel through optical dielectric media in a loss-free manner with arbitrary pulse shapes, novel possibilities to store optical information in dielectric media in the form of spatially dependent excitations and techniques to exploit this information to control laser pulse envelopes.
We propose a scheme to generate stable ultraslow three-dimensional spatiotemporal optical solitons, or ultraslow optical bullets, at very low light levels via atomic coherence. The system we consider is an ensemble of resonant, lifetime-broadened NNN-type four-level atoms, working in a regime of electromagnetically induced transparency. Due to the quantum interference effect induced by a control field, the absorption of a probe field is largely suppressed. Moreover, the Kerr nonlinearity is greatly enhanced, and the dispersion property of the probe field is drastically changed. Using a method of multiple scales, we derive two coupled nonlinear envelope equations controlling the evolution of the envelopes of the probe field and an assisted field. We show that under certain conditions the envelope of the probe field satisfies a three-dimensional nonlinear Schr\"odinger equation and the envelope of the assisted field obeys a linear Helmholtz equation. We obtain various optical bullet solutions for the probe-field envelope and demonstrate that such optical bullets have many novel features, including very slow propagating velocity and very low generation power. In addition, they can be actively controlled and manipulated by adjusting system parameters. The stabilization of the optical bullets obtained can be easily realized by the trapping potential contributed by the assisted field, which is also investigated in detail.
A theory of dispersive soliton of the self-induced transparency in a medium consisting of atoms or semiconductor quantum dots of two types is considered. A two-component medium is modeled by a set of two-level atoms of two types embedded into a conductive host material. These types of atoms correspond to passive atoms (attenuator atoms) and active atoms (amplifier atoms) with inverse population of the energetic levels. The complete solution is given of the Maxwell--Bloch equations for ensembles of two-type atoms with different parameters and different initial conditions by inverse scattering transform. The solutions of the Maxwell--Bloch equations for many-component atomic systems by inverse scattering transform are also discussed. The influence of the difference between dipole moments of atoms, the longitudinal and transverse relaxation times, pumping, and conductivity on the soliton is taken into account by means of perturbation theory. The memory effects are described in terms of generalized non-Markovian optical Bloch equations. The condition of a balance between the energy supplied and lost is obtained.