Hidden symmetries of two-electron quantum dots in a magnetic field

TL;DR

This paper reveals that magnetic fields induce dynamical symmetries in two-electron quantum dots, leading to near-degeneracies in their spectra, which are robust across interaction strengths, combining classical and quantum analyses.

Contribution

It uncovers the existence of magnetic-field-induced dynamical symmetries in two-electron quantum dots through combined classical and quantum approaches.

Findings

Near-degeneracies in quantum spectra at specific magnetic fields

Symmetries are robust regardless of electron-electron interaction strength

Classical and quantum analyses confirm the dynamical symmetries

Abstract

Using a classical and quantum mechanical analysis, we show that the magnetic field gives rise to dynamical symmetries of a three-dimensional axially symmetric two-electron quantum dot with a parabolic confinement. These symmetries manifest themselves as near-degeneracies in the quantum spectrum at specific values of the magnetic field and are robust at any strength of the electron-electron interaction.