On an analog of the Aharonov-Bohm effect in superfluid helium
Department of Physics of Complex Systems, Weizmann Institute of Science Rehovot, 76100 Israel
Accepted: 21 March 1997
We propose a hydrodynamic analog of the Aharonov-Bohm experiment in which second-sound waves are scattered on a quantized vortex in superfluid helium. The time lag that develops between the two sides of a second-sound plane wave impinging on a vortex from the side would be compared. Estimates for these experiments show that for reasonable experimental conditions the wavefront splitting can be readily measured at reduced temperatures of 10-6. The advantages of doing this experiment near the superfluid transition is discussed. This experiment would compliment the three other Aharonov-Bohm–type experiments which involve all four possible combinations of classical/quantum waves and classical/quantum vortices. This technique would provide a non-invasive means of investigating the dynamics of quantum vortex nucleation and their stability as well as addressing the problem of multiply quantized.
PACS: 67.40.Pm – Transport processes, second and other sounds, and thermal counterflow; Kapitza resistance / 67.40.Vs – Vortices and turbulence / 47.37.+q – Hydrodynamic aspects of superfluidity
© EDP Sciences, 1997