Abstract
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.
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12 November 2020
Unfortunately during proofing, corrections to equations 5 and 6 have not been incorporated into the final version before online publication as requested by author.
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This material is based upon work supported by the Air Force Office of Scientific Research under award number FA9550-19-1-7003.
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The original online version of this article was revised: Corrected version of equations 5 and 6 updated.
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Christov, I.P. Spatial Non-locality in Confined Quantum Systems: A Liaison with Quantum Correlations. Few-Body Syst 61, 45 (2020). https://doi.org/10.1007/s00601-020-01579-9
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DOI: https://doi.org/10.1007/s00601-020-01579-9