Statics and dynamics of atomic dark-bright solitons in the presence of delta-like impurities

Details Statics and dynamics of atomic dark-bright solitons in the presence of delta-like impurities Statics and dynamics of atomic dark-bright solitons in the presence of delta-like impurities

2011-11-09

arxiv.org/abs/1111.2270v1

Physics

Condensed Matter

Quantum Gases

11 pages, 11 figures, to appear in Phys. Rev. A

Scientific paper

Adopting a mean-field description for a two-component atomic Bose-Einstein condensate, we study the stat- ics and dynamics of dark-bright solitons in the presence of localized impurities. We use adiabatic perturbation theory to derive an equation of motion for the dark-bright soliton center. We show that, counter-intuitively, an attractive (repulsive) delta-like impurity, acting solely on the bright soliton component, induces an effective localized barrier (well) in the effective potential felt by the soliton; this way, dark-bright solitons are reflected from (transmitted through) attractive (repulsive) impurities. Our analytical results for the small-amplitude oscil- lations of solitons are found to be in good agreement with results obtained via a Bogoliubov-de Gennes analysis and direct numerical simulations.

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