Geometry induced entanglement transitions in nanostructures

Abstract

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 by varying the nanostructure geometry. We investigate the position-space information entropy as an indicator of the entanglement in this system. We also consider the expectation value of the Coulomb interaction and the ratio of this expectation to the expectation of the confining potential and their link to the entanglement. We look at the first derivative of the entanglement and the position-space information entropy to infer information about a possible quantum phase transition.

3 pages, 2 figures, to appear in Journal of Applied Physics

References in corpus (6)

• Exact quantum Monte Carlo study of one dimensional trapped fermions with attractive contact interactions
• Linear entropy as an entanglement measure in two-fermion systems
• Density functional theory in one-dimension for contact-interacting fermions
• Effect of confinement potential geometry on entanglement in quantum dot-based nanostructures
• Generation of Spin Entanglement in Nonequilibrium Quantum Dots
• Mesoporous matrices for quantum computation with improved response through redundance