Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Optics and Spectroscopy

Inelastic interaction of ultrashort pulses of polarized light with an ensemble of isolated quantum dots

S. O. Elyutin, Elena V. Kazantseva, Andrei I. Maimistov

Published Mar 1, 2001• 4 citations
Publisher

Abstract

A system of equations is formulated describing the evolution of a slowly varying envelope of an arbitrarily polarized ultrashort pulse of electromagnetic radiation in a medium with its resonant properties determined by an ensemble of isolated quantum dots. It is assumed that the concentration of quantum dots is small and that the whole system is equivalent to a gas of resonant four-level atoms. Particular solutions are found that correspond to the propagation of a stationary optical pulse. It is shown by numerical solution of the generalized truncated Maxwell-Bloch equations that steady-state propagation is possible only for circularly polarized light pulses, whereas the pulses of arbitrary polarization either decay and experience the dispersion-related broadening or are converted into circularly polarized solitary waves.

DOI
10.1134/1.1358457

Related papers

Model of the Two Level Quantum Dots Ensemble Interacting with Ultra-Short Pulse of Coherent Radiation

Andrei I. Maimistov

Based on a model of strong coupling for two electrons that are localized inside a quantum dot characterized by only two levels of size quantization, a set of equations is derived, which allows one to describe coherent transient processes in an ensemble of isolated dots. Here one considered the case of ultrashort durations of electromagnetic field pulses, when the processes of polarization and population relaxation can be neglected. The resulting set of equations is a generalization of the Maxwell-Bloch equations, which are used in studying the processes occurring under the action of ultrashort electromagnetic pulses. The model obtained is reduced to the model of two-level atoms only if radiation is circularly polarized.

Kluwer Academic Publishers eBooks•Mar 1, 2006•0 citations

Propagation of ultrashort pulses of polarised radiation in a resonant medium

Andrei I. Maimistov

An analysis is made of the coherent interaction of a short pulse of polarised electromagnetic radiation with a medium in which the energy levels are degenerate in respect of the angular momentum projection. In the case of the j a = 1 → j b =0 transition it is found, without recourse to the approximation of slowly varying envelopes, that the system of the Maxwell–Bloch equations has an exact solution in the form of a steady-state solitary wave of duration equal to half the period of emission as a result of the investigated atomic transition. A new solution is obtained, in addition to a simple generalisation corresponding to a polarised video pulse. When the populations of the excited states with different projections of the angular momentum are different, the spherical components of the vector representing the electric field intensity do not behave proportionately: if one of them corresponds to a unipolar spike of the electric field, the other component is a variable-sign solitary wave.

Quantum Electronics•Nov 30, 1997•7 citations

Propagation of short pulses of polarized radiation in a resonant medium

Andrei I. Maimistov

The propagation of electromagnetic radiation pulses in a medium emulated by the two-level atoms is considered. Ground state is not degenerated, excited state is characterized by the angular moment j equals 1. The exact steady state solutions of the Maxwell - Bloch equations without slowly varying envelope and phases approximation were found, that are generalization of a known solutions by Bullough and Ahmad for the scalar case.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Sep 26, 1997•0 citations

Model of a quantum dot coherently interacting with an ultrashort pulse of electromagnetic radiation

Andrei I. Maimistov, S. O. Elyutin

Based on a model of strong coupling for two electrons that are localized inside a quantum dot characterized by only two levels of size quantization, a set of equations is derived, which allows one to describe coherent transient processes in an ensemble of isolated dots. This set of equations is a generalization of the Bloch equations, which are used in studying the processes occurring under the action of ultrashort pulses of electromagnetic interaction. The model obtained is reduced to the model of two-level atoms only if radiation is circularly polarized.

Optics and Spectroscopy•Aug 1, 2002•2 citations

Coherent propagation of a short polarised radiation pulse in a one-dimensional resonance Bragg grating

Andrei I. Maimistov, V V Polikarpov

The propagation of an optical ultrashort pulse in a resonance Bragg grating is considered taking into account the polarisation of electromagnetic radiation. It is assumed that the grating is formed by thin films containing two-level atoms with the triply degenerate upper energy level. The system of equations is derived for the envelopes of electromagnetic pulses counterpropagating in such a grating. In the long-wavelength (continual) approximation, the system of equations generalising the known system for scalar waves is obtained. The solutions corresponding to elliptically (in particular, linearly and circularly) polarised stationary pulses are found. An arbitrary degree of ellipticity is possible only in a medium with a preliminary prepared stage of resonance atoms.

Quantum Electronics•Sep 30, 2006•3 citations

Propagation of the ultrashort laser pulses through the quantum nonlinear medium with resonant properties

A. V. Gulyaev, Olga V. Tikhonova

The propagation of ultrashort few-cycle laser pulses through a quantum nonlinear medium with resonant properties is studied using the method of slowly varying amplitudes with allowance for dispersion effects. A self-consistent system of nonlinear wave equation for the evolution of laser field and the nonstationary Schrödinger equation that determines the material polarization response is numerically solved. Specific features of the propagation of laser pulse caused by a relatively large spectral width and the nonadiabatic character of the laser pulse are established. The rise of the slowly dumping polarization at the eigenfrequency of the medium and the consequent stretching of the laser pulse are observed. The role of the resonant absorption of the laser energy in the medium is analyzed. The nonlinear spectral broadening is demonstrated for the laser pulse propagating through the medium.

Laser Physics•May 1, 2010•6 citations
A system of equations is formulated describing the evolution of a slowly varying envelope of an arbitrarily polarized ultrashort pulse of electromagnetic radiation in a medium with its resonant properties determined by an ensemble of isolated quantum dots. It is assumed that the concentration of quantum dots is small and that the whole system is equivalent to a gas of resonant four-level atoms. Particular solutions are found that correspond to the propagation of a stationary optical pulse. It is shown by numerical solution of the generalized truncated Maxwell-Bloch equations that steady-state propagation is possible only for circularly polarized light pulses, whereas the pulses of arbitrary polarization either decay and experience the dispersion-related broadening or are converted into circularly polarized solitary waves.
Based on a model of strong coupling for two electrons that are localized inside a quantum dot characterized by only two levels of size quantization, a set of equations is derived, which allows one to describe coherent transient processes in an ensemble of isolated dots. Here one considered the case of ultrashort durations of electromagnetic field pulses, when the processes of polarization and population relaxation can be neglected. The resulting set of equations is a generalization of the Maxwell-Bloch equations, which are used in studying the processes occurring under the action of ultrashort electromagnetic pulses. The model obtained is reduced to the model of two-level atoms only if radiation is circularly polarized.
An analysis is made of the coherent interaction of a short pulse of polarised electromagnetic radiation with a medium in which the energy levels are degenerate in respect of the angular momentum projection. In the case of the j a = 1 → j b =0 transition it is found, without recourse to the approximation of slowly varying envelopes, that the system of the Maxwell–Bloch equations has an exact solution in the form of a steady-state solitary wave of duration equal to half the period of emission as a result of the investigated atomic transition. A new solution is obtained, in addition to a simple generalisation corresponding to a polarised video pulse. When the populations of the excited states with different projections of the angular momentum are different, the spherical components of the vector representing the electric field intensity do not behave proportionately: if one of them corresponds to a unipolar spike of the electric field, the other component is a variable-sign solitary wave.
Based on a model of strong coupling for two electrons that are localized inside a quantum dot characterized by only two levels of size quantization, a set of equations is derived, which allows one to describe coherent transient processes in an ensemble of isolated dots. This set of equations is a generalization of the Bloch equations, which are used in studying the processes occurring under the action of ultrashort pulses of electromagnetic interaction. The model obtained is reduced to the model of two-level atoms only if radiation is circularly polarized.
The propagation of an optical ultrashort pulse in a resonance Bragg grating is considered taking into account the polarisation of electromagnetic radiation. It is assumed that the grating is formed by thin films containing two-level atoms with the triply degenerate upper energy level. The system of equations is derived for the envelopes of electromagnetic pulses counterpropagating in such a grating. In the long-wavelength (continual) approximation, the system of equations generalising the known system for scalar waves is obtained. The solutions corresponding to elliptically (in particular, linearly and circularly) polarised stationary pulses are found. An arbitrary degree of ellipticity is possible only in a medium with a preliminary prepared stage of resonance atoms.
The propagation of ultrashort few-cycle laser pulses through a quantum nonlinear medium with resonant properties is studied using the method of slowly varying amplitudes with allowance for dispersion effects. A self-consistent system of nonlinear wave equation for the evolution of laser field and the nonstationary Schrödinger equation that determines the material polarization response is numerically solved. Specific features of the propagation of laser pulse caused by a relatively large spectral width and the nonadiabatic character of the laser pulse are established. The rise of the slowly dumping polarization at the eigenfrequency of the medium and the consequent stretching of the laser pulse are observed. The role of the resonant absorption of the laser energy in the medium is analyzed. The nonlinear spectral broadening is demonstrated for the laser pulse propagating through the medium.