Publication Date
2007
Journal or Book Title
Physics Letters A
Abstract
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 View the MathML source, where Ω is the harmonic trap frequency.
DOI
https://doi.org/10.48550/arXiv.cond-mat/0701050
Pages
129-134
Volume
364
Issue
2
Recommended Citation
Frantzeskakis, D J.; Kevrekidis, PG; and Proukakis, N. P., "Crossover dark soliton dynamics in ultracold one-dimensional Bose gases" (2007). Physics Letters A. 1134.
https://doi.org/10.48550/arXiv.cond-mat/0701050