Quintet pairing and non-Abelian vortex string in spin-3/2 cold atomic systems

TL;DR

This paper explores the unique properties of quintet Cooper pairing and non-Abelian vortex strings in spin-3/2 cold atomic systems, revealing novel topological features and quantum entanglement mechanisms not present in simpler systems.

Contribution

It introduces the concept of non-Abelian half-quantum vortices in spin-3/2 systems and analyzes their stability and topological properties, which are new contributions to the field.

Findings

Half-quantum vortices are more stable than single quantum vortices.

Non-Abelian Alice strings and SO(4) Cheshire charge are realized in these systems.

Topological loops of HQVs can generate quantum entanglement.

Abstract

We study the s-wave quintet Cooper pairing phase ($S_{tot}=2$) in spin-3/2 cold atomic systems and identify various novel features which do not appear in the spin-1/2 counterpart. A single quantum vortex is shown to be energetically less stable than a pair of half-quantum vortices (HQV). The HQV exhibits the global analogue of the non-Abelian Alice string and SO(4) Cheshire charge in gauge theories. The non-Abelian HQV loop enables topological generation of quantum entanglement.