Abstract
The Donnelly-Glaberson (DG) instability causes the amplification of Kelvin waves on vortex lines in superfluid 4He and 3He-B at finite temperatures due to mutual friction between vortex lines and the normal fluid component. In this letter, we theoretically show that the DG instability is possible in atomic Bose-Einstein condensates even at T = 0 K without the normal component. The DG instability in atomic condensates can lead to observe the dispersion relation of Kelvin waves, vortex reconnections and quantum turbulence.
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