arXiv:cond-mat/0505598 · Journal of Physics B Atomic Molecular and Optical Physics
A renormalized Gross–Pitaevskii theory and vortices in a strongly interacting Bose gas
Ch. Moseley, K. Ziegler
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 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.