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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 bosonsin harmonic trap where these interact by long-range and short-rangeCoulomb-like potentials (bosonic quantum dots). It is shown that the optimizedvalue of the key variational parameter in TDQMC named nonlocal correlationlength is close to the standard deviation of the Monte Carlo sample for oneboson 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 thusconfirming that the spatial quantum non-locality experienced by each particleis close to the spatial uncertainty exhibited by the rest of the particles. Theintimate connection between spatial non-locality and quantum correlations isclearly evidenced.

Spatial non-locality in confined quantum systems: a liaison with quantum correlations