A classical field method for time dependent Bose condensed gases
Soft Condensed Matter
2009-11-07 v2
Abstract
We propose a method to study the time evolution of Bose condensed gases perturbed from an initial thermal equilibrium, based on the Wigner representation of the -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.
Cite
@article{arxiv.cond-mat/0101210,
title = {A classical field method for time dependent Bose condensed gases},
author = {Alice Sinatra and Carlos Lobo and Yvan Castin},
journal= {arXiv preprint arXiv:cond-mat/0101210},
year = {2009}
}
Comments
4 pages, 1 figure, modified version (1 figure removed, more detailed explanation in the text)