A criterion for the quasiparticle excitations to follow the vortex core was derived considering a moving vortex line in a dilute atomic Bose-Einstein condensate within time-dependent Hartree-Fock-Bogoliubov-Popov theory. The experiment was undertaken within the zero-temperature mean-field formalism. The excitation spectra of vortex states in statically trapped condensates was shown to contain at least one mode with positive norm but negative energy within the Bogoliubov approximation (BA). The assumption of adiabaticity, that is important for the validity of the stationary self-consistent theories in describing such time-dependent phenomena, was shown to imply a stringent criterion for the velocity of the vortex line.
|Number of pages||4|
|Journal||Physical Review Letters|
|Publication status||Published - 3 Dec 2001|