Physics – Condensed Matter – Quantum Gases
Scientific paper
2010-04-18
Phys. Rev. A 82, 023621 (2010)
Physics
Condensed Matter
Quantum Gases
10 pages, 7 figures. To appear on Phys. Rev. A, 2010
Scientific paper
10.1103/PhysRevA.82.023621
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 Schr\"{o}dinger equation.
Carretero-González Ricardo
Frantzeskakis Dimitri J.
Kevrekidis Panagiotis G.
Ma Manjun
Malomed Boris A.
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