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Nonlinear Guided Waves and Their Applications

Noise induced dynamics of a Bose-Einstein condensate in optical trap

F. Kh. Abdullaev, Bakhtiyor B. Baizakov, V. V. Konotop

Published Jan 1, 2001• 0 citations
Publisher

Abstract

The dynamics of a Bose-Einstein condensate confined in optical trap is studied taking into consideration fluctuations of the laser field intensity. The noise can delay or even arrest the collapse of a condensate with negative scattering length.
DOI
10.1364/nlgw.2001.mc20

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The dynamics of a metastable attractive Bose-Einstein condensate trapped by a system of laser beams is analyzed in the presence of small fluctuations of the laser intensity. It is shown that the condensate will eventually collapse. The expected collapse time is inversely proportional to the integrated covariance of the time autocorrelation function of the laser intensity and it decays logarithmically with the number of atoms. Numerical simulations of the stochastic three-dimensional Gross-Pitaevskii equation confirm analytical predictions for small and moderate values of mean-field interaction.
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Evolution and collapse of a trapped Bose condensate with negative scattering length are predetermined by 3-body recombination of Bose-condensed atoms and by feeding of the condensate from the nonequilibrium thermal cloud. The collapse, starting once the number of condensate atoms reaches the critical value, ceases and turns to expansion when the density becomes so high that the recombination losses dominate over attractive interparticle interaction. As a result, we obtain a sequence of collapses, each of them followed by dynamic oscillations of the condensate. In every collapse the 3-body recombination burns only a part of the Bose-condensed atoms.