Abstract
We investigate quantum correlations in the ground state of the Moshinsky model formed by N harmonically interacting particles confined in a harmonic potential. The model is solvable which allows an exact determination of entanglement between the subset of p particles and the remaining N − p particles. We study linear entropies and von Neumann entropies of the bipartitions and compare their behavior with that of the relative correlation energy and of the statistical Kutzelnigg coefficient.
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Moshinsky, H.M.: How good is the Hartree-Fock approximation. Am. J. Phys. 36, 52-53 (1968); Erratum: M. Moshinsky, Am. J. Phys. 36, 763 (1968)
Yañez R., Plastino A., Dehesa J.: Quantum entanglement in a soluble two-electron model atom. Eur. Phys. J. D 56, 141–150 (2010)
Bouvrie P.A. et al.: Quantum entanglement in exactly soluble atomic models: the Moshinsky model with three electrons and with two electrons in a uniform magnetic field. Eur. Phys. J. D 66, 15 (2012)
Pruski S., Maćkowiak J., Missuno O.: Reduced density matrices of a system of n coupled oscillators. 3. The eigenstructure of the p-particle matrix for the ground state. Rep. Math. Phys. 3, 241–246 (1972)
Ziesche P. et al.: The He isoelectronic series and the Hooke’s law model: Correlation measures and modifications of the Collins’ conjecture. J. Chem. Phys. 110, 6135–6142 (1999)
Kutzelnigg W., del Re G., Bertier G.: Correlation coefficients for electronic wave functions. Phys. Rev. 172, 49–59 (1968)
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Kościk, P., Okopińska, A. Correlation Effects in the Moshinsky Model. Few-Body Syst 54, 1637–1640 (2013). https://doi.org/10.1007/s00601-012-0546-4
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DOI: https://doi.org/10.1007/s00601-012-0546-4