Time-dependent multi-orbital mean-field for fragmented Bose-Einstein condensates
Other Condensed Matter
2007-05-23 v1
Abstract
The evolution of Bose-Einstein condensates is usually described by the famous time-dependent Gross-Pitaevskii equation, which assumes all bosons to reside in a single time-dependent orbital. In the present work we address the evolution of fragmented condensates, for which two (or more) orbitals are occupied, and derive a corresponding time-dependent multi-orbital mean-field theory. We call our theory TDMF(), where stands for the number of evolving fragments. Working equations for a general two-body interaction between the bosons are explicitly presented along with an illustrative numerical example.
Cite
@article{arxiv.cond-mat/0607490,
title = {Time-dependent multi-orbital mean-field for fragmented Bose-Einstein condensates},
author = {O. E. Alon and A. I. Streltsov and L. S. Cederbaum},
journal= {arXiv preprint arXiv:cond-mat/0607490},
year = {2007}
}
Comments
16 pages, 1 figure