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arXiv:cond-mat/0701050 · Physics Letters A

Crossover dark soliton dynamics in ultracold one-dimensional Bose gases

D. J. Frantzeskakis, P. G. Kevrekidis, Nick P. Proukakis

Published Dec 6, 2006• 7 citations
arXivHTMLPDF
DOI
10.1016/j.physleta.2006.11.074

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Ultracold confined one-dimensional atomic gases are predicted to support dark soliton solutions arising from a nonlinear Schrodinger equation of suitable nonlinearity. In weakly-interacting (high density) gases, the nonlinearity is cubic, whereas an approximate model for describing the behavior of strongly-interacting (low density) gases is one characterized by a quintic nonlinearity. We use an approximate analytical expression for the form of the nonlinearity in the intermediate regimes to show that, near the crossover between the two different regimes, the soliton is predicted and numerically confirmed to oscillate at a frequency of root 2/3 Omega, where Omega is the harmonic trap frequency. (c) 2006 Elsevier B.V. All rights reserved.
Ultracold confined one-dimensional atomic gases are predicted to support dark soliton solutions arising from a nonlinear Schrödinger equation of suitable nonlinearity. In weakly-interacting (high density) gases, the nonlinearity is cubic, whereas an approximate model for describing the behavior of strongly-interacting (low density) gases is one characterized by a quintic nonlinearity. We use an approximate analytical expression for the form of the nonlinearity in the intermediate regimes to show that, near the crossover between the two different regimes, the soliton is predicted and numerically confirmed to oscillate at a frequency of sqrt(2 / 3) Ω, where Ω is the harmonic trap frequency. © 2006 Elsevier B.V. All rights reserved.