Spin entanglement in atoms and molecules

We investigate the effects of inhomogeneities on spin entanglement in many-electron systems from an ab-initio approach. The key quantity in our approach is the local spin entanglement length, which is derived from the local concurrence of the electronic system. Although the concurrence for an intera...

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Bibliographic Details
Published in:arXiv.org 2014-09
Main Authors: Pittalis, S, Troiani, F, Rozzi, C A, Vignale, G
Format: Article
Language:English
Subjects:
Chemical bonds
Density
Electron spin
Entanglement
Organic chemistry
Quantum chemistry
Online Access:Get full text
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Summary:We investigate the effects of inhomogeneities on spin entanglement in many-electron systems from an ab-initio approach. The key quantity in our approach is the local spin entanglement length, which is derived from the local concurrence of the electronic system. Although the concurrence for an interacting systems is a highly nonlocal functional of the density, it does have a simple, albeit approximate expression in terms of Kohn-Sham orbitals. We show that the electron localization function -- well known in quantum chemistry as a descriptor of atomic shells and molecular bonds -- can be reinterpreted in terms of the ratio of the local entanglement length of the inhomogeneous system to the entanglement length of a homogenous system at the same density. We find that the spin entanglement is remarkably enhanced in atomic shells and molecular bonds.
ISSN:2331-8422
DOI:10.48550/arxiv.1409.0363