Solitons in one-dimensional interacting Bose-Einstein system

Abstract

A modified Gross-Pitaevskii approximation was introduced recently for bosons in dimension $d\le 2$ 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.

Latex, 14 pages, No figure

References in corpus (5)

• Bose-Einstein condensation in quasi2D trapped gases
• Low-dimensional Bose liquids: beyond the Gross-Pitaevskii approximation
• Dynamics of the Bose-Einstein condensate: quasi-one-dimension and beyond
• The effect of interactions on Bose-Einstein condensation in a two-dimensional harmonic trap
• Comment on ``Low-dimensional Bose liquids: beyond the Gross-Pitaevskii approximation''

Cited by in corpus (6)

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• On Symmetries and Exact Solutions of a Class of Non-local Non-linear Schrodinger Equations with Self-induced PT-symmetric Potential
• Conformal symmetry and the nonlinear Schrodinger equation
• Domain walls and bubble-droplets in immiscible binary Bose gases
• Interfaces between Bose-Einstein and Tonks-Girardeau atomic gases