Hidden symmetries, spin and charge of artificial magnetic monopoles

TL;DR

This paper explores non-Abelian artificial magnetic monopoles in quantum systems, revealing hidden symmetries as physical observables like spin and charge, with implications for modeling complex phenomena.

Contribution

It uncovers how hidden symmetries manifest as measurable physical degrees of freedom in systems with energy level crossings.

Findings

Hidden symmetries correspond to observable quantities such as spin and charge.

Concrete examples demonstrate the role of these symmetries in two and three-level systems.

Results have potential applications in modeling physical and biological phenomena.

Abstract

We discuss the non-Abelian artificial magnetic monopoles associated with $n$-level energy crossing in quantum systems. We found that hidden symmetries reveal themselves as observables such as spin, charge, and other physical degrees of freedom. We illustrated our results on concrete examples of two and three energy-level crossing. Our results can be useful for modeling of various phenomena in physical and biological systems.