Dark solitons near potential and nonlinearity steps
arXiv:1509.05206 · doi:10.1103/PhysRevA.94.063612
Abstract
We study dark solitons near potential and nonlinearity steps and combinations thereof, forming rectangular barriers. This setting is relevant to the contexts of atomic Bose-Einstein condensates (where such steps can be realized by using proper external fields) and nonlinear optics (for beam propagation near interfaces separating optical media of different refractive indices). We use perturbation theory to develop an equivalent particle theory, describing the matter-wave or optical soliton dynamics as the motion of a particle in an effective potential. This Newtonian dynamical problem provides information for the soliton statics and dynamics, including scenarios of reflection, transmission, or quasi-trapping at such steps. The case of multiple such steps and its connection to barrier potentials is also touched upon. Our analytical predictions are found to be in very good agreement with the corresponding numerical results.
13 pages, 9 figures
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- Spatially modulated two- and three-component Rabi-coupled Gross-Pitaevskii systems
- Localized modes in the Gross-Pitaevskii equation with a parabolic trapping potential and a nonlinear lattice pseudopotential
- Dark Soliton Scattering in Symmetric and Asymmetric Double Potential Barriers
- Dynamical Instability of 3d Stationary and Traveling Planar Dark Solitons
- Performing Hong-Ou-Mandel-type Numerical Experiments with Repulsive Condensates: The case of Dark and Dark-bright Solitons