Solitons in one-dimensional interacting Bose-Einstein system
Abstract
A modified Gross-Pitaevskii approximation was introduced recently for bosons in dimension by Kolomeisky {\it et al.} (Phys. Rev. Lett. {\bf 85} 1146 (2000)). We use the density functional approach with sixth-degree interaction energy term in the Bose field to reproduce the stationary-frame results of Kolomeisky {\it et al.} for a one-dimensional Bose-Einstein system with a repulsive interaction. We also find a soliton solution for an attractive interaction, which may be boosted to a finite velocity by a Galilean transformation. The stability of such a soliton is discussed analytically. We provide a general treatment of stationary solutions in one dimension which includes the above solutions as special cases. This treatment leads to a variety of stationary wave solutions for both attractive and repulsive interactions.
Cite
@article{arxiv.cond-mat/0010075,
title = {Solitons in one-dimensional interacting Bose-Einstein system},
author = {R. K. Bhaduri and Sankalpa Ghosh and M. V. N. Murthy and Diptiman Sen},
journal= {arXiv preprint arXiv:cond-mat/0010075},
year = {2009}
}
Comments
Latex, 14 pages, No figure