title: Classical-field method for time dependent Bose-Einstein condensed gases.
abstract: 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.
authors.affiliation: Laboratoire Kastler Brossel, 24 Rue Lhomond, 75231 Paris Cedex 05, France.
authors.forename: A
authors.initials: A
authors.lastname: Sinatra
authors.forename: C
authors.initials: C
authors.lastname: Lobo
authors.forename: Y
authors.initials: Y
authors.lastname: Castin