Soliton oscillations in collisionally inhomogeneous attractive Bose-Einstein condensates

Abstract

We investigate bright matter-wave solitons in the presence of a spatially varying nonlinearity. It is demonstrated that a translation mode is excited due to the spatial inhomogeneity and its frequency is derived analytically and also studied numerically. Both cases of purely one-dimensional and ``cigar-shaped'' condensates are studied by means of different mean-field models, and the oscillation frequencies of the pertinent solitons are found and compared with the results obtained by the linear stability analysis.Numerical results are shown to be in very good agreement with the corresponding analytical predictions.

References in corpus (8)

• Tuning the scattering length with an optically induced Feshbach resonance
• Formation of bright matter-wave solitons during the collapse of Bose-Einstein condensates
• Lie symmetries and solitons in nonlinear systems with spatially inhomogeneous nonlinearities
• Deviation from one-dimensionality in stationary properties and collisional dynamics of matter-wave solitons
• Fully three dimensional breather solitons can be created using Feshbach resonance
• Transmission of matter wave solitons through nonlinear traps and barriers
• Dynamics of Bose-Einstein condensates in cigar-shaped traps
• Stabilization of three-dimensional matter-waves solitons in an optical lattice

Cited by in corpus (4)

• Localized modes of binary mixtures of Bose-Einstein condensates in nonlinear optical lattices
• Matter-wave solitons with a periodic, piecewise-constant nonlinearity
• Solitary waves for linearly coupled nonlinear Schrodinger equations with inhomogeneous coefficients
• Matter-Wave Solitons in the Presence of Collisional Inhomogeneities: Perturbation theory and the impact of derivative terms