Two-dimensional nonlinear vector states in Bose-Einstein condensates

Abstract

Two-dimensional (2D) vector matter waves in the form of soliton-vortex and vortex-vortex pairs are investigated for the case of attractive intracomponent interaction in two-component Bose-Einstein condensates. Both attractive and repulsive intercomponent interactions are considered. By means of a linear stability analysis we show that soliton-vortex pairs can be stable in some regions of parameters while vortex-vortex pairs turn out to be always unstable. The results are confirmed by direct numerical simulations of the 2D coupled Gross-Pitaevskii equations.

6 pages, 9 figures

References in corpus (3)

• Double species condensate with tunable interspecies interactions
• The Vortex Phase Qubit: Generating Arbitrary, Counter-Rotating, Coherent Superpositions in Bose-Einstein Condensates via Optical Angular Momentum Beams
• Vortex stability in nearly two-dimensional Bose-Einstein condensates with attraction

Cited by in corpus (4)

• Stable multidimensional soliton stripes in two-component Bose-Einstein condensates
• Splitting of singly and doubly quantized composite vortices in two-component Bose-Einstein condensates
• Provable bounds for the Korteweg-de Vries reduction in multi-component Nonlinear Schrodinger Equation
• Bright vector solitons in cross-defocusing nonlinear media