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Journal of Experimental and Theoretical Physics

On the theory of superradiant Rayleigh Scattering from a Bose-Einstein condensate

Evgenii Dmitrievich Trifonov

Published Nov 1, 2001• 21 citations
Publisher

Abstract

A theory of the superradiant Rayleigh scattering by a Bose-Einstein condensate is suggested. The theory is based on a semiclassical approach. Atomic states with definite momenta are used as basis functions. The Maxwell-Bloch equations are derived and solved to describe the intensity of scattered radiation and the evolution of the population of coherent atomic states.

DOI
10.1134/1.1427108

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A theory of the superradiant Rayleigh scattering by a Bose-Einstein condensate is suggested. The theory is based on a semiclassical approach. Atomic states with definite momenta are used as basis functions. The Maxwell-Bloch equations are derived and solved to describe the intensity of scattered radiation and the evolution of the population of coherent atomic states.
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Equations of a semiclassical model of superradiant Rayleigh scattering of high-intensity short light pulses from a Bose-Einstein condensate of dilute atomic gases are solved numerically taking into account the excitation of atoms by coherent Rayleigh radiation and their recoil in the backward direction. The evolution of the populations of coherent atomic states with a particular momentum is studied, and the pulse shape and the structure of the spectrum of such scattering are found in relation to the laser beam intensity and the recoil kinetic energy of atoms.