Entanglement and density-functional theory: testing approximations on Hooke's atom

Details Entanglement and density-functional theory: testing approximations on Hooke's atom Entanglement and density-functional theory: testing approximations on Hooke's atom

2007-12-21

arxiv.org/abs/0712.3819v3

Phys. Rev. B 77, 205122 (2008)

Physics

Quantum Physics

14 pages with 18 figures; corrected typos, corrected expression for first-order energy in section VI and consequently Fig.13,

Scientific paper

10.1103/PhysRevB.77.205122

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 calculated exactly. We analyse 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 with the outcomes of standard first-order perturbation methods. The accuracies of energies and densities when using these methods are also considered.

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