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

Abstract

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.

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

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• Controlled Generation of Dark-Bright Soliton Complexes in Two-Component and Spinor Bose-Einstein Condensates
• Generating, dragging and releasing dark solitons in elongated Bose-Einstein condensates
• Transitions From Order to Disorder in Multi-Dark and Multi-Dark-Bright Soliton Atomic Clouds
• Spontaneous generation of dark-bright and dark-antidark solitons upon quenching a particle-imbalanced bosonic mixture
• Stability and Tunneling Dynamics of a Dark-Bright Soliton Pair in a Harmonic Trap
• Dark-bright solitons in spinor polariton condensates under nonresonant pumping
• Dark-dark-soliton dynamics in two density-coupled Bose-Einstein condensates
• Scattering of a dark-bright soliton by an impurity
• Dark solitons near potential and nonlinearity steps
• Internal Oscillations of a Dark-Bright Soliton in a Harmonic Potential
• On-demand generation of dark-bright soliton trains in Bose-Einstein condensates
• Dark Soliton Scattering in Symmetric and Asymmetric Double Potential Barriers
• Negative radiation pressure in Bose-Einstein condensates
• Dynamical generation of dark-bright solitons through the domain wall of two immiscible Bose-Einstein condensates
• Performing Hong-Ou-Mandel-type Numerical Experiments with Repulsive Condensates: The case of Dark and Dark-bright Solitons