Vortices in Bose-Einstein Condensates (Ziyad Muslimani, University of Central Florida)
Abstract: Ground state and vortex localized Bose-Einstein condensates in a two-dimensional optical lattice are reported. In the strong localization regime, the ground state is largely confined to one lattice site, while the vortex state comprises of four fundamental modes superimposed in a square configuration with a phase structure that is topologically equivalent to the conventional vortex. However, in the weak localization regime, the bright soliton spreads over many lattice sites, and the BEC vortex becomes more intricate. We further show that both the fundamental and vortex condensates are stable against small perturbations in the strong localization regime.

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This is an abstract of a talk to be presented at the 2004 SEAMS Workshop in Charleston, SC. For more information, visit the workshop's homepage at math.cofc.edu/SEAMS.