Browsing by Subject "Harmonic traps"
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Item Open Access The ground state and vortices in a two-dimensional Bose gas confined in a harmonic trap(Institute of Physics Publishing, 2002) Tanatar, BilalWe study the ground state properties of a two-dimensional Bose gas in an harmonic trap potential using the recently proposed mean-field equation that takes into account the correct dimensionality effect. In contrast to the threedimensional case, the interaction term depends logarithmically on the scattering length and density. We compare our results with other approaches with various forms for the two-dimensional coupling. We also consider the vortex states and study the effects of density-dependent interactions on the formation of vortices.Item Open Access Strongly interacting one-dimensional Bose-Einstein condensates in harmonic traps(American Physical Society, 2000) Tanatar, Bilal; Erkan, K.The properties of strongly interacting one dimensional boson condensates in harmonic trap potentials were studied. An equation describing the condensate wave function in the limit of very strong interactions between the bosons was obtained using a density functional type formalism. It was found that the two component system exhibits coexisting and segregated phases similar to the weakly interacting system.