  Using advanced stochastic methods (time-dependent quantum Monte Carlo, TDQMC)
we explore the ground state of 1D and 2D artificial atoms with up to six bosons
in harmonic trap where these interact by long-range and short-range
Coulomb-like potentials (bosonic quantum dots). It is shown that the optimized
value of the key variational parameter in TDQMC named nonlocal correlation
length is close to the standard deviation of the Monte Carlo sample for one
boson and it is slightly dependent on the range of the interaction potential.
Also it is almost independent on the number of bosons for the 2D system thus
confirming that the spatial quantum non-locality experienced by each particle
is close to the spatial uncertainty exhibited by the rest of the particles. The
intimate connection between spatial non-locality and quantum correlations is
clearly evidenced.
