Geometric Phase for Fermionic Quasiparticles Scattering by Disgyration in Superfluids

TL;DR

This paper explores the geometric phase and Aharonov-Bohm effect for fermionic quasiparticles scattering by topological defects in superfluids, using an analog gravity model to analyze quantum phase shifts.

Contribution

It introduces a model for quasiparticle scattering in superfluids that demonstrates the gravitational Aharonov-Bohm effect using loop variables, linking topological defects to quantum phases.

Findings

Existence of a gravitational Aharonov-Bohm effect in superfluid quasiparticle scattering

Use of loop variables to analyze topological defect effects

Potential application to superconductors

Abstract

We consider a Volovik's analog model for description of a topological defects in a superfluid and we investigate the scattering of quasiparticles in this background. The analog of the gravitational Aharonov-Bohm in this system is found. An analysis of this problem employing loop variables is considered and corroborates for the existence of the Aharonov-Bohm effect in this system. The results presented here may be used to study the Aharonov-Bohm effect in superconductors.