Solitons in a one-dimensional interacting Bose-Einstein system

DOI10.1088/0305-4470/34/34/302zbMATH Open0999.82003arXivcond-mat/0010075OpenAlexW2135876177WikidataQ62039512 ScholiaQ62039512MaRDI QIDQ2774542

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Publication date: 26 February 2002

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Abstract: A modified Gross-Pitaevskii approximation was introduced recently for bosons in dimension $dle2$ by Kolomeisky {it et al.} (Phys. Rev. Lett. {�f 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.

Full work available at URL: https://arxiv.org/abs/cond-mat/0010075

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