A renormalized Gross-Pitaevskii Theory and vortices in a strongly interacting Bose gas

Physics – Condensed Matter – Other Condensed Matter

Scientific paper

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13 pages, 5 figures; revision and extension, figure 2 added

Scientific paper

We consider a strongly interacting Bose-Einstein condensate in a spherical harmonic trap. The system is treated by applying a slave-boson representation for hard-core bosons. A renormalized Gross-Pitaevskii theory is derived for the condensate wave function that describes the dilute regime (like the conventional Gross-Pitaevskii theory) as well as the dense regime. We calculate the condensate density of a rotating condensate for both the vortex-free condensate and the condensate with a single vortex and determine the critical angular velocity for the formation of a stable vortex in a rotating trap.

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