113 citations · 696 across the 23 of their papers we have counts for
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Testing density-functional approximations on a lattice and the limits of the related Hohenberg-Kohn-type theorem
V. V. França, J. P. Coe, I. D'Amico
We present a metric-space approach to quantify the performance of density-functional approximations for interacting many-body systems and to explore the validity of the Hohenberg-K…
Quantum mechanics in metric space: wave functions and their densities
I. D'Amico, J. P. Coe, V. V. Franca +1
Hilbert space combines the properties of two fundamentally different types of mathematical spaces: vector space and metric space. While the vector-space aspects of Hilbert space, s…
Geometry induced entanglement transitions in nanostructures
J. P. Coe, S. Abdullah, I. D'Amico
We model quantum dot nanostructures using a one-dimensional system of two interacting electrons. We show that strong and rapid variations may be induced in the spatial entanglement…
Effect of confinement potential geometry on entanglement in quantum dot-based nanostructures
S. Abdullah, J. P. Coe, I. D'Amico
We calculate the spatial entanglement between two electrons trapped in a nanostructure for a broad class of confinement potentials, including single and double quantum dots, and co…
Entanglement and density-functional theory: testing approximations on Hooke's atom
J. P. Coe, A. Sudbery, I. D'Amico
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…