Solitons in one-dimensional interacting Bose-Einstein system

Details Solitons in one-dimensional interacting Bose-Einstein system Solitons in one-dimensional interacting Bose-Einstein system

2000-10-05

arxiv.org/abs/cond-mat/0010075v3

Journal of Physics A : Math Gen, 34,6553-6564 (2001)

Physics

Condensed Matter

Statistical Mechanics

Latex, 14 pages, No figure

Scientific paper

10.1088/0305-4470/34/34/302

A modified Gross-Pitaevskii approximation was introduced recently for bosons in dimension $d\le2$ 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.

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