Defect modes of a Bose-Einstein condensate in an optical lattice with a localized impurity
Soft Condensed Matter
2016-08-16 v1 Pattern Formation and Solitons
Abstract
We study defect modes of a Bose-Einstein condensate in an optical lattice with a localized defect within the framework of the one-dimensional Gross-Pitaevskii equation. It is shown that for a significant range of parameters the defect modes can be accurately described by an expansion over Wannier functions, whose envelope is governed by the coupled nonlinear Schr\"{o}dinger equation with a delta-impurity. The stability of the defect modes is verified by direct numerical simulations of the underlying Gross-Pitaevskii equation with a periodic plus defect potentials. We also discuss possibilities of driving defect modes through the lattice and suggest ideas for their experimental generation.
Keywords
Cite
@article{arxiv.cond-mat/0603857,
title = {Defect modes of a Bose-Einstein condensate in an optical lattice with a localized impurity},
author = {V. A. Brazhnyi and V. V. Konotop and V. M. Pérez-García},
journal= {arXiv preprint arXiv:cond-mat/0603857},
year = {2016}
}
Comments
14 pages, 9 Figures, 1 Table