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Abstract
We show how the configuration-space form of the Bogoliubov ground state wave function
of a bosonic condensate with a single vortex in a harmonic trap can be described in
terms of bosonic Jastrow correlations. We then generalize this result to study the
first effects of such correlations on a mean-field vortex lattice state and show that
the included correlations lower the energy below that of the mean-field state. Although
the reduction is relatively small, it is a precursor of the more general expected
effect of correlations in describing the melting of the vortex lattice at large angular
momentum per particle.