Multi-mode description of an interacting Bose-Einstein condensate
Abstract
We study the equilibrium dynamics of a weakly interacting Bose-Einstein condensate trapped in a box. In our approach we use a semiclassical approximation similar to the description of a multi-mode laser. In dynamical equations derived from a full N-body quantum Hamiltonian we substitute all creation (and annihilation) operators (of a particle in a given box state) by appropriate c-number amplitudes. The set of nonlinear equations obtained in this way is solved numerically. We show that on the time scale of a few miliseconds the system exhibits relaxation - reaches an equilibrium with populations of different eigenstates fluctuating around their mean values.
Cite
@article{arxiv.cond-mat/0011165,
title = {Multi-mode description of an interacting Bose-Einstein condensate},
author = {K. Goral and M. Gajda and K. Rzazewski},
journal= {arXiv preprint arXiv:cond-mat/0011165},
year = {2015}
}
Comments
4 pages, 3 eps figures included in the manuscript, final version published in the special issue of Optics Express in honor of J.H.Eberly