Geometric Induction in Chiral Superfluids

TL;DR

This paper investigates how the geometry of curved surfaces influences chiral superfluid thin films, revealing observable effects like vortex interactions and supercurrents, with implications for quantum state control.

Contribution

It introduces a theoretical framework for understanding geometric gauge fields in chiral superfluids on curved surfaces and predicts experimental signatures.

Findings

Identification of vortex-geometric interactions

Prediction of curvature-induced supercurrents

Proposal of flexible surface adaptation to strain

Abstract

We explore the properties of chiral superfluid thin films coating a curved surface. Due to the vector nature of the order parameter, a geometric gauge field emerges and leads to a number of observable effects such as anomalous vortex-geometric interaction and curvature-induced mass/spin supercurrents. We apply our theory to several well-known phases of chiral superfluid $\rm ^3 He$ and derive experimentally observable signatures. We further discuss the cases of flexible geometries where a soft surface can adapt itself to compensate for the strain from the chiral superfluid. The proposed interplay between geometry and chiral superfluid order provides a fascinating avenue to control and manipulate quantum states with strain.