A geometrical crossover in excited states of two-electron quantum dots in a magnetic field

TL;DR

This paper investigates how quantum entanglement reveals shape transitions in the electron density distribution of two-electron quantum dots subjected to a magnetic field, highlighting a geometrical crossover in excited states.

Contribution

It introduces the use of entanglement measures to detect shape transitions in two-electron quantum dots under magnetic fields, providing new insights into quantum correlations.

Findings

Entanglement signals shape transition at specific magnetic field values.

Density distribution of electrons changes shape at the transition point.

Entanglement can serve as an indicator of quantum state transformations.

Abstract

We use the entanglement measure to study the evolution of quantum correlations in two-electron axially-symmetric parabolic quantum dots under a perpendicular magnetic field. We found that the entanglement indicates on the shape transition in the density distribution of two electrons in the lowest state with zero angular momentum projection at the specific value of the applied magnetic field.