Possible Superfluidity in thin corrugated Annulus

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.