Matter-wave gap vortices in optical lattices

The novel types of localized vortex states of repulsive BEC was predicted in lattice and identified the key requirements for their generation. The study contribute to understand the complex interplay between the superfluid behavior of a BEC with its inherent signature, such as velocity and nonlinear behavior of coherent matter waves in periodic potentials. The experimental observation of predicted structure seems feasible in 2D BEC in an optical surface trap and the prospects of the creation of optical surface lattices. It was observed that prediction are also relevant to the light beams carrying phase dislocations in 2D photonic structures.