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Laser Physics

Superradiant Rayleigh scattering of light by the Bose-Einstein condensate of rarefied atomic gases

N. I. Shamrov

Published Aug 30, 2006• 7 citations
Publisher

Abstract

The superradiant Rayleigh scattering of high-intensity light pulses by the Bose-Einstein condensate of rubidium vapor is studied using the model proposed earlier. It is demonstrated that four states with a certain momentum are occupied under the experimental conditions (two states correspond to the forward recoil and two others correspond to the backward recoil). Condensate pulsations between the zero-momentum state and the above states are detected and studied. The corresponding shape of the coherent Rayleigh pulse is found.

DOI
10.1134/s1054660x0609012x

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The superradiant Rayleigh scattering of high-intensity light pulses by the Bose-Einstein condensate of rubidium vapor is studied using the model proposed earlier. It is demonstrated that four states with a certain momentum are occupied under the experimental conditions (two states correspond to the forward recoil and two others correspond to the backward recoil). Condensate pulsations between the zero-momentum state and the above states are detected and studied. The corresponding shape of the coherent Rayleigh pulse is found.
Based on the earlier model, the superradiant Rayleigh scattering of the high-intensity short light pulses by the Bose- Einstein condensate of rubidium vapor is studied. It is demonstrated that only six states with a certain momentum are filled when the resonance detuning is about the Rabi frequency. The first two states describe the atomic motion along the condensate due to absorption, whereas the remaining four states describe the atomic motions at angles of 450 and 1350 to the condensate axis owing to the reemission of the photon. The condensate pulsations between the state with zero momentum and the last four states are revealed. The corresponding shape of the coherent Rayleigh pulse is found for various resonance detunings.
Based on the earlier model, the superradiant Rayleigh scattering of the high-intensity short light pulses by the Bose-Einstein condensate of rubidium vapor is studied. It is demonstrated that only six states with a certain momentum are filled when the resonance detuning is about the Rabi frequency. The first two states describe the atomic motion along the condensate due to absorption, whereas the remaining four states describe the atomic motions at angles of 45° and 135° to the condensate axis owing to the reemission of the photon. The condensate pulsations between the state with zero momentum and the last four states are revealed. The corresponding shape of the coherent Rayleigh pulse is found for various resonance detunings.
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.
The non-equilibrium dynamics of the superradiant scattering of light from a BEC is experimentally investigated by monitoring the time evolution of the population in the condensate. In the experiment, a cigar-shaped Bose-Einstein condensate of /sup 87/Rb atoms is produced and is exposed to a single off-resonant laser pulse directed along the condensate symmetry axis. The superradiant back-scattering of light creates a matter wave pulse moving in the same direction of the laser beam at twice the photon recoil velocity with respect to the original condensate. The efficiency of the process is limited by decoherence between the two atomic spatially overlapped wavepackets. The temporal evolution of the condensate observed in the experiment as well as the results of a simple semiclassical model in which the condensate is described by a density operator for the motional states. The population of the two matter wavepackets as a function of the light pulse duration is reported, together with the experimental points with the analytical formula resulting from the theory of collective atomic recoil laser (CARL).