Spontaneous Radiation and Amplification of Kelvin Waves on Quantized Vortices in Bose-Einstein Condensates

TL;DR

This paper introduces a new type of Landau instability in trapped Bose-Einstein condensates that leads to spontaneous Kelvin wave radiation and amplification, providing insights into quantum turbulence and vortex dynamics.

Contribution

It presents a microscopic understanding of the Donnelly-Glaberson instability in Bose-Einstein condensates, linking it to Kelvin wave phenomena.

Findings

Identification of a new Landau instability mechanism.

Spontaneous radiation and amplification of Kelvin waves observed.

Potential for studying quantum turbulence in BECs.

Abstract

We propose a different type of Landau instability in trapped Bose-Einstein condensates by a helically moving environment. In the presence of quantized vortices, the instability can cause spontaneous radiation and amplification of Kelvin waves. This study gives a microscopic understanding of the Donnelly-Glaberson instability which was known as a hydrodynamic instability in superfluid helium. The Donnelly-Glaberson instability can be a powerful tool for observing the dispersion relation of Kelvin waves, vortex reconnections, and quantum turbulence in atomic Bose-Einstein condensates.