Two-dimensional nonlinear vector states in Bose-Einstein condensates

Details Two-dimensional nonlinear vector states in Bose-Einstein condensates Two-dimensional nonlinear vector states in Bose-Einstein condensates

2009-01-08

arxiv.org/abs/0901.1041v1

Nonlinear Sciences

Pattern Formation and Solitons

6 pages, 9 figures

Scientific paper

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.

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