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Matter-wave gap vortices in optical lattices

Elena A. Ostrovskaya·Yuri S. Kivshar
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Abstract

We predict the existence of spatially localized nontrivial topological states of the Bose-Einstein condensate with repulsive atomic interactions confined by an optical lattice. These nonlinear localized states, matter-wave gap vortices, possess a phase dislocation and exist in the gaps of the matter-wave bandgap spectrum due to the Bragg scattering. We discuss the structure, stability, and formation dynamics of the gap vortices in the case of two-dimensional optical lattices.

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Elena A. Ostrovskaya, Yuri S. Kivshar. 2004-04-30. Matter-wave gap vortices in optical lattices. https://doi.org/10.1103/physrevlett.93.160405

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