Vortex dynamics in superfluids: Cyclotron-type motion

Vortex dynamics in superfluids is investigated in the framework of the nonlinear Schrodinger equation. The natural motion of the vortex is of cyclotron type, whose frequency is found to be on the order of the phonon velocity divided by the coherence length, and may be heavily damped due to phonon radiation. Trapping foreign particles into the vortex core can reduce the cyclotron frequency and make the cyclotron motion underdamped. The density fluctuations can follow the vortex motion adiabatically within the phonon wavelength at the cyclotron frequency, which results in a further downward renormalization of the cyclotron frequency. We have also discussed applications on the dynamics of vortices in superconducting films.