Entanglement as an indicator of a geometrical crossover in a two-electron quantum dot in a magnetic field

TL;DR

This paper demonstrates that entanglement evolution in a two-electron quantum dot signals a shape transition from lateral to vertical localization under a magnetic field, despite minimal changes in probability density.

Contribution

It introduces entanglement as an indicator of geometrical crossover in quantum dots, revealing a new method to detect shape transitions.

Findings

Entanglement evolution indicates shape transition.

Probability density shows minimal change.

Shape transition from lateral to vertical localization.

Abstract

We found that a downwardly concave entanglement evolution of the ground state of a two-electron axially symmetric quantum dot testifies that a shape transition from a lateral to a vertical localization of two electrons under a perpendicular magnetic field takes place. Although affected, the two-electron probability density does not exhibit any prominent change.