Deformation of dark solitons in inhomogeneous Bose-Einstein condensates

Abstract

A dark soliton becomes unstable when it is incident on a background density gradient, and the induced instability results in the emission of sound. Detailed quantitative studies of sound emission are performed for various potentials, such as steps, linear ramps and gaussian traps. The amount of sound emission is found to be a significant fraction of the soliton energy for typical potentials. Continuous emission of sound is found to lead to an apparent deformation of the soliton profile. The power emitted by the soliton is shown to be parametrised by the square of the displacement of the centre of mass of the soliton from its density minimum, thus highlighting the significance of the inhomogeneity-induced soliton deformation.

arXiv comment22 pages, 11 figures, J. Phys. B accepted

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• Dark solitons in atomic Bose-Einstein condensates: from theory to experiments
• Nonlinear Waves in Bose-Einstein Condensates: Physical Relevance and Mathematical Techniques
• Quantum Dark Soliton: Non-Perturbative Diffusion of Phase and Position
• Quantum reflection of bright matter-wave solitons
• Analogies between dark solitons in atomic Bose-Einstein condensates and optical systems
• Oscillations of dark solitons in trapped Bose-Einstein condensates
• Parametric Driving of Dark Solitons in Atomic Bose-Einstein Condensates
• Dynamics of shallow dark solitons in a trapped gas of impenetrable bosons
• Dark soliton past a finite-size obstacle
• Dynamical instability of a dark soliton in a quasi-one-dimensional Bose-Einstein condensate perturbed by an optical lattice
• Dark soliton decay due to trap anharmonicity in atomic Bose-Einstein condensates
• Dynamics of trapped bright solitons in the presence of localized inhomogeneities
• Dark solitons generation and their instability dynamics in two dimensional condensates
• Dark solitons dynamics and snake instability in superfluid Fermi gases trapped by an anisotropic harmonic potential
• Generating, dragging and releasing dark solitons in elongated Bose-Einstein condensates
• Matter-wave dark solitons in box-like traps
• Self-trapping of Bose-Einstein condensates expanding into shallow optical lattices
• Long-range sound-mediated dark soliton interactions in trapped atomic condensates
• Quench dynamics of Bose-Einstein condensates in boxlike traps
• Dark solitons near potential and nonlinearity steps
• Influence of a dark-soliton on the reflection of a Bose-Einstein condensate by a square barrier
• Dark Soliton Scattering in Symmetric and Asymmetric Double Potential Barriers