  Cold trapped Bose-condensed atoms, interacting via hard-sphere repulsive
potentials are considered. Simple mean-field approximations show that the
condensate distribution inside a harmonic trap always has the shape of a hump
with the maximum condensate density occurring at the trap center. However Monte
Carlo simulations at high density and strong interactions display the
condensate depletion at the trap center. The explanation of this effect of
local condensate depletion at trap center is suggested in the frame of
self-consistent theory of Bose-condensed systems. The depletion is shown to be
due to the existence of the anomalous average that takes into account pair
correlations and appears in systems with broken gauge symmetry.
