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Hubbard model as an approximation to the entanglement in nanostructures

By J. P. Coe, V. V. Franca and I. D'Amico

Abstract

We investigate how well the one-dimensional Hubbard model describes the entanglement of particles trapped in a string of quantum wells. We calculate the average single-site entanglement for two particles interacting via a contact interaction and consider the effect of varying the interaction strength and the interwell distance. We compare the results with the ones obtained within the one-dimensional Hubbard model with on-site interaction. We suggest an upper bound for the average single-site entanglement for two electrons in M wells and discuss analytical limits for very large repulsive and attractive interactions. We investigate how the interplay between interaction and potential shape in the quantum-well system dictates the position and size of the entanglement maxima and the agreement with the theoretical limits. Finally, we calculate the spatial entanglement for the quantum-well system and compare it to its average single-site entanglement

Topics: 3107
Year: 2010
DOI identifier: 10.1103/PhysRevA.81.052321
OAI identifier: oai:eprints.whiterose.ac.uk:10930

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