Abstract
We consider a strongly interacting Bose–Einstein condensate in a spherical harmonic trap. The system is treated by applying a slave-boson representation for hardcore bosons. A renormalized Gross–Pitaevskii theory is derived for the condensate wavefunction 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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