Stochastic Dynamics of a Trapped Bose-Einstein Condensate

Details Stochastic Dynamics of a Trapped Bose-Einstein Condensate Stochastic Dynamics of a Trapped Bose-Einstein Condensate

2001-07-20

arxiv.org/abs/cond-mat/0107432v1

Physics

Condensed Matter

Statistical Mechanics

Paper consists of 42 pages of ReVTeX and 10 postscript figures. Submitted to Physical Review A

Scientific paper

10.1103/PhysRevA.65.013603

We present a variational solution of the Langevin field equation describing the nonequilibrium dynamics of a harmonically trapped Bose-Einstein condensate. If the thermal cloud remains in equilibrium at all times, we find that the equation of motions for the parameters in our variational ansatz are equivalent to the Langevin equations describing the motion of a massive Brownian particle in an external potential. Moreover, these equations are coupled to a stochastic rate equation for the number of atoms in the condensate. As applications of our approach, we have calculated the collisional damping rates and frequencies of the low-lying collective excitations of a condensate with repulsive interactions, and have obtained a description of the growth and subsequent collapse of a condensate with attractive interactions. We have found a good agreement with the available experimental results in both cases.

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