Geometry induced entanglement transitions in nanostructures

TL;DR

This paper explores how the geometry of nanostructures influences quantum entanglement, revealing rapid variations and potential phase transitions in a two-electron quantum dot model.

Contribution

It demonstrates the impact of nanostructure geometry on entanglement and introduces position-space information entropy as an indicator of quantum phase transitions.

Findings

Geometry variations induce rapid entanglement changes

Position-space entropy correlates with entanglement levels

Indicators suggest possible quantum phase transitions

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.