Possible Superfluidity in thin corrugated Annulus

TL;DR

This paper investigates superfluid persistent flow in a thin, corrugated annulus, highlighting phase memory and circulation quantization, with illustrative examples using an ideal Bose gas.

Contribution

It demonstrates how phase coherence and circulation quantization lead to energy minima in superfluid flow within a corrugated annulus, extending understanding of superfluidity in complex geometries.

Findings

Energy minima depend periodically on total momentum.

Phase memory is crucial for persistent flow.

Ideal Bose gas illustrates the general features.

Abstract

We revisit the persistent flow of a superfluid in a thin wavy-rough annulus. The existence of a phase memory around this thin corrugated annulus is shown to be responsible for the energy minima with a periodic dependence on the total momentum which is directly related to the quantization of circulation. We also illustrate the general features using the ideal Bose gas as an example.