Effect of a potential step or impurity on the Bose-Einstein condensate mean field
Other Condensed Matter
2009-11-10 v1 Exactly Solvable and Integrable Systems
Abstract
The full set of stationary states of the mean field of a Bose-Einstein condensate in the presence of a potential step or point-like impurity are presented in closed analytic form. The nonlinear Schr\"odinger equation in one dimension is taken as a model. The nonlinear analogs of the continuum of stationary scattering states, as well as evanescent waves, are discussed. The solutions include asymmetric soliton trains and other wavefunctions of novel form, such as a pair of dark solitons bound by an impurity.
Keywords
Cite
@article{arxiv.cond-mat/0410345,
title = {Effect of a potential step or impurity on the Bose-Einstein condensate mean field},
author = {B. T. Seaman and L. D. Carr and M. J. Holland},
journal= {arXiv preprint arXiv:cond-mat/0410345},
year = {2009}
}