Trapping of Quantized Electrical Charge in Superfluid 3He-B via the Electrodynamics of Spin-orbit Coupled Systems

TL;DR

This paper proposes that superfluid 3He-B can trap quantized electric charge densities through spin-orbit coupling effects, inspired by analogies with non-Abelian gauge theories, suggesting potential experimental realization.

Contribution

It introduces a novel mechanism for trapping quantized electric charge in superfluid 3He-B using spin-orbit coupling, inspired by non-Abelian gauge theory analogies.

Findings

Theoretical argument for charge trapping in superfluid 3He-B.

Proposal of experimental conditions for realization.

Identification of large line charge quantum.

Abstract

Exploiting analogies between spin-orbit coupled spin superfluids and non-Abelian Yang-Mills theory, we argue that machines can be built capable of trapping a quantized amount of electric linear charge density, while the line charge quantum itself is surprisingly large. The required conditions might well hold in superfluid 3He-B, for which we propose an experimental realization of this phenomenon.