2007/01/03 by D. J. Frantzeskakis, P. G. Kevrekidis, Frantzeskakis, D. J. +3
Chemistry · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Other Condensed Matter (cond-mat.other) #Spectroscopy and Laser Applications #Strong Light-Matter Interactions
paper · pdf · doi:10.48550/arxiv.cond-mat/0701050
openalex publication_date 2007/01/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 behaviour 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 √(2/3)Ω, where Ω is the harmonic trap frequency.