States without linear counterpart in Bose-Einstein condensates
Condensed Matter
2009-10-31 v2 Mathematical Physics
Analysis of PDEs
math.MP
Pattern Formation and Solitons
Quantum Physics
Abstract
We show the existence of stationary solutions of a 1-D Gross-Pitaevskii equation in presence of a multi-well external potential that do not reduce to any of the eigenfunctions of the associated Schroedinger problem. These solutions, which in the limit of strong nonlinearity have the form of chains of dark or bright solitons located near the extrema of the potential, represent macroscopically excited states of a Bose-Einstein condensate and are in principle experimentally observable.
Cite
@article{arxiv.cond-mat/0010449,
title = {States without linear counterpart in Bose-Einstein condensates},
author = {Roberto D'Agosta and Carlo Presilla},
journal= {arXiv preprint arXiv:cond-mat/0010449},
year = {2009}
}
Comments
6 pages, 5 eps figures, RevTeX