Classical-field method for time dependent Bose-Einstein condensed gases.
We propose a method to study the time evolution of Bose-Einstein condensed gases perturbed from an initial thermal equilibrium, based on the Wigner representation of the N-body density operator. We show how to generate a collection of random classical fields sampling the initial Wigner distribution in the number conserving Bogoliubov approximation. The fields are then evolved with the time dependent Gross-Pitaevskii equation. We illustrate the method with the damping of a collective excitation of a one-dimensional Bose gas.
Sinatra
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Laboratoire Kastler Brossel, 24 Rue Lhomond, 75231 Paris Cedex 05, France.
Lobo
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Castin
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