Spin Entanglement of Two delocalised Fermions and Berry Phase

TL;DR

This paper explores the relationship between spin entanglement of delocalized fermions and Berry phase, providing a geometric interpretation that generalizes previous concepts for distinguishable spins.

Contribution

It introduces a novel method to quantify spin entanglement of identical fermions using Berry phases, extending the understanding of entanglement in quantum systems.

Findings

Berry phase quantifies fermion spin entanglement

Geometric interpretation links entanglement and flux quantum

Generalizes entanglement measures for delocalized fermions

Abstract

We have studied the entanglement of identical fermions in two spatial regions in terms of the Berry phase acquired by their spins. The analysis is done from the viewpoint of the geometrical interpretation of entanglement, where a fermion is visualized as a scalar particle attached with a magnetic flux quantum. The quantification of spin entanglement in terms of their Berry phases is novel and generalises the relationship between the entanglement of distinguishable spins and that of delocalised fermions.