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Nonlinear Guided Waves and Their Applications

Collapse in Bose-Einstein condensates induced by fluctuations of the laser intensity

Josselin C. Garnier, F. Kh. Abdullaev, Bakhtiyor B. Baizakov

Published Jan 1, 2004• 0 citations
Publisher

Abstract

The dynamics of an attractive BEC trapped by an optical trap is analyzed in the presence of fluctuations of the laser intensity. The condensate will eventually collapse for time is inversely proportional to noise intensity.
DOI
10.1364/nlgw.2004.mc28

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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.
The critical behavior of collective modes and the collapsing dynamics of trapped Bose-Einstein condensates with attractive interactions are studied analytically and numerically. The time scales of these dynamics both below and above the critical point of the collapse are found to obey power laws with a single parameter of ${N/N}_{c}\ensuremath{-}1,$ where N is the number of condensate atoms and Nc{N}_{c}Nc​ is the critical number. The collapsing condensate eventually undergoes rapid implosion, which occurs several times intermittently, and then the implosion turns to an explosion. The release energy of the explosion is found to be proportional to the square of the interaction strength, inversely proportional to the three-body recombination rate, and independent of the number of condensate atoms and the trap frequency.