Hidden symmetries, spin and charge of artificial magnetic monopoles

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.

arXiv comment14 pages, 5 figures