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

Journal of Experimental and Theoretical Physics

Amplification of light in a dilute-gas Bose-Einstein condensate

Evgenii Dmitrievich Trifonov, N. I. Shamrov

Published Jul 1, 2004• 4 citations
Publisher

Abstract

A semiclassical theory is proposed to describe the light amplification in a Bose—Einstein condensate of a dilute atomic gas observed in [1]. Atomic states with well-defined momenta are taken as a basis of wave functions to derive the Maxwell—Bloch equations for the model of a dilute gas of atoms interacting with electromagnetic field. The evolution of light intensity and populations of coherent atomic states with different recoil momenta is described by solving these equations. The solutions obtained are used to demonstrate theoretically the effects observed in [1].

DOI
10.1134/1.1787077

Related papers

On the theory of coherent effects caused by the interaction of a Bose-Einstein condensate of dilute gases with an electromagnetic field

Evgenii Dmitrievich Trifonov

The Schrödinger equation describing the interaction of a Bose-Einstein condensate of an ideal gas with an electromagnetic field is derived. Its solutions allow one to find the evolution of the radiation intensity and that of the populations of coherent atomic states with different recoil momenta and can be used for describing such effects as light scattering, light amplification, amplification of atomic beam intensity (an atomic laser), and induced transparency.

Optics and Spectroscopy•Apr 1, 2005•12 citations

Maxwell-Schrödinger equations for a dilute gas Bose-Einstein condensate coupled to an electromagnetic field

Yu. A. Avetisyan, Evgenii Dmitrievich Trifonov

We give a general formulation of the semiclassical approach to solving the problem of interaction between a Bose-Einstein condensate of dilute gas and electromagnetic radiation without using the commonly applied mean-field approximation. We suggest variants of the systems of Maxwell-Schrödinger equations whose solution describes such effects as superradiant light scattering, light beam amplification, atomic wave (atomic laser) amplification, induced transparency, and reduction in the group velocity of light.

Journal of Experimental and Theoretical Physics•Mar 1, 2008•9 citations

Semiclassical theory of superradiant scattering from a Bose-Einstein condensate

Evgenii Dmitrievich Trifonov

A semiclassical theory of superradiant scattering of light from a Bose-Einstein condensate of a dilute atomic gas is proposed. Choosing atomic states with definite values of the momenta as a basis, we derive a nonlinear Schrödinger equation. Its solutions describe the evolution of the scattered light intensity and of the populations of the coherent atomic states with different recoil momenta.

Optics and Spectroscopy•Apr 1, 2002•19 citations

On the theory of matter wave amplification in a Bose–Einstein condensate of dilute gas

Evgenii Dmitrievich Trifonov

The solution of the Maxwell-Schrodinger equations describing amplification of backwards matter waves the in process of light scattering from a Bose-Einstein condensate of dilute gas is presented. The results obtained in the mean field approximation explain the main features of the effects observed in [1].

Laser Physics Letters•Nov 22, 2004•9 citations

On the theory of superradiant scattering from Bose-Einstein condensate of dilute gas

Yu. A. Avetisyan, Igor Viktorovich Ryzhov, Evgenii Dmitrievich Trifonov

A semiclassical theory of superradiant scattering from Bose-Einstein condensate of dilute gas without the mean- field approximation is proposed. Solutions of the system of Maxwell-Schrödinger equations describing this effect as well as the coherent reflection of light and the backward amplification of matter waves are obtained.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Jun 15, 2007•4 citations

On the theory of superradiant scattering from Bose-Einstein condensate of dilute gas

Yu. A. Avetisyan, Evgenii Dmitrievich Trifonov

A semiclassical theory of superradiant scattering from Bose-Einstein condensate of dilute gas without the mean-field approximation is proposed. Solutions of the system of Maxwell-Schrödinger equations describing this effect as well as the coherent reflection of light and the backward amplification of matter waves are obtained.

Laser Physics Letters•Nov 14, 2006•6 citations
A semiclassical theory is proposed to describe the light amplification in a Bose—Einstein condensate of a dilute atomic gas observed in [1]. Atomic states with well-defined momenta are taken as a basis of wave functions to derive the Maxwell—Bloch equations for the model of a dilute gas of atoms interacting with electromagnetic field. The evolution of light intensity and populations of coherent atomic states with different recoil momenta is described by solving these equations. The solutions obtained are used to demonstrate theoretically the effects observed in [1].
We give a general formulation of the semiclassical approach to solving the problem of interaction between a Bose-Einstein condensate of dilute gas and electromagnetic radiation without using the commonly applied mean-field approximation. We suggest variants of the systems of Maxwell-Schrödinger equations whose solution describes such effects as superradiant light scattering, light beam amplification, atomic wave (atomic laser) amplification, induced transparency, and reduction in the group velocity of light.