Rotating vortex core: An instrument for detecting the core excitations

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Abstract
The effect of fermionic zero modes (bound states in a vortex core) on the rotational dynamics of quantized nonaxisymmetric vortices are considered. The results are compared with the Helsinki experiments where the vortex cores were driven to a fast rotation and torsional oscillations by an NMR r.f. field (Kondo et al, Phys. Rev. Lett. 67, 81 (1991)). We predict the resonance NMR absorption on the fermionic zero modes similar to the cyclotron Landau damping when the external frequency is comparable with the interelevel distance. This will allow to resolve the localized levels in the core. In the case of a pure rotation of the core, the effect depends on the relative signs of the vortex winding number and of the core rotation; thus it is sensitive to the direction of rotation of the container. The similarity with the fermionic zero modes on the fundamental strings, which simulate the thermodynamics of black holes, is discussed.

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