Abstract
We study the reflection and transmission properties of matter wave solitons impinging on localized scattering potentials in one spatial dimension. By mean field analysis we identify regimes where the solitons behave more like waves or more like particles as a result of the interplay between the dispersive wave propagation and the attractive interactions between the atoms. For a bright soliton propagating together with a dark soliton void in a two-species Bose-Einstein condensate, we find different reflection and transmission properties of the dark and the bright components.
Highlights
We have investigated scattering of solitons in Bose-Einstein condensates on localized potentials
The homogeneous Gross-Pitaevskii equation supports matter wave solitons, and we have focused on two types of solitons: Bright solitons, which are wave packets without dispersion due to the attractive, non-linear interactions between the atoms in the soliton, and dark-bright solitons in two separate condensate components
The scattering properties of a dark-bright soliton on a barrier only affecting the bright component could be expected to resemble that of a single bright soliton scattering on a barrier
Summary
Solitons are exceptionally stable wave phenomena that appear in a variety of physical systems They propagate without spreading due to a fine balance between the dispersion and the non-linearity of the physical system. After their discovery as stable waves in shallow waters by Russell in 1834, solitons have been found in very different non-linear systems As an example, both bright optical solitons which are peaks in the intensity and dark solitons which are intensity minima have found applications in optical transmission through fibres [1,2]. We shall further elaborate the analysis of matter wave solitons in 1D-condensates, investigating their scattering properties on localized potentials.
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