Entanglement and position-space information entropy: Hubbard model as an approximation to nanostructure systems

We consider the position-space information and linear entropies as proxy measures to the average single-site entanglement–quantified using the von Neumann entropy–of the one-dimensional Hubbard model and of a one-dimensional nanostructure system comprised of an array of quantum-dots. Spatial entanglement in the quantum-dot system is also investigated via the three entropies. We appraise the use of the possible proxy measures in the Hubbard model as an approximation to their use for the nanostructure system.