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Phys. Rev. B 77, 205122 (2008) [14 pages]

Entanglement and density-functional theory: Testing approximations on Hooke’s atom

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J. P. Coe1,2,*, A. Sudbery2,†, and I. D’Amico1,‡
1Department of Physics, University of York, York YO10 5DD, United Kingdom
2Department of Mathematics, University of York, York YO10 5DD, United Kingdom

See Also: Erratum

Received 21 December 2007; revised 28 March 2008; published 22 May 2008

We present two methods of calculating the spatial entanglement of an interacting electron system within the framework of density-functional theory. These methods are tested on the model system of Hooke’s atom for which the spatial entanglement can be exactly calculated. We analyze how the strength of the confining potential affects the spatial entanglement and how accurately the methods that we introduced reproduce the exact trends. We also compare the results to the outcomes of standard first-order perturbation methods. The accuracies of energies and densities when using these methods are also considered.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.77.205122
DOI:
10.1103/PhysRevB.77.205122
PACS:
03.67.−a, 71.15.Mb

*jpc503@york.ac.uk

as2@york.ac.uk

ida500@york.ac.uk

See Also

Erratum: J. P. Coe, A. Sudbery, and I. D’Amico, Erratum: Entanglement and density-functional theory: Testing approximations on Hooke’s atom [Phys. Rev. B 77, 205122 (2008)], Phys. Rev. B 82, 089902 (2010).