Controlling the transverse instability of dark solitons and nucleation of vortices by a potential barrier
arXiv:1004.3060 · doi:10.1103/PhysRevA.82.023621
Abstract
We study possibilities to suppress the transverse modulational instability (MI) of dark-soliton stripes in two-dimensional (2D) Bose-Einstein condensates (BECs) and self-defocusing bulk optical waveguides by means of quasi-1D structures. Adding an external repulsive barrier potential (which can be induced in BEC by a laser sheet, or by an embedded plate in optics), we demonstrate that it is possible to reduce the MI wavenumber band, and even render the dark-soliton stripe completely stable. Using this method, we demonstrate the control of the number of vortex pairs nucleated by each spatial period of the modulational perturbation. By means of the perturbation theory, we predict the number of the nucleated vortices per unit length. The analytical results are corroborated by the numerical computation of eigenmodes of small perturbations, as well as by direct simulations of the underlying Gross-Pitaevskii/nonlinear Schrödinger equation.
10 pages, 7 figures. To appear on Phys. Rev. A, 2010
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- Formation of bright matter-wave solitons during the collapse of Bose-Einstein condensates
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- Ring dark solitons in three-dimensional Bose-Einstein condensates
- Formation of granular structures in trapped Bose-Einstein condensates under oscillatory excitations
- Stability analysis and attractor dynamics of 3D dark solitons with localized dissipation
- Rotation and Angular Momentum Transfer in Bose-Einstein Condensates Induced by Spiral Dark Solitons
- Performing Hong-Ou-Mandel-type Numerical Experiments with Repulsive Condensates: The case of Dark and Dark-bright Solitons