Adiabaticity Criterion for Moving Vortices in Dilute Bose-Einstein Condensates

Details Adiabaticity Criterion for Moving Vortices in Dilute Bose-Einstein Condensates Adiabaticity Criterion for Moving Vortices in Dilute Bose-Einstein Condensates

2001-05-21

arxiv.org/abs/cond-mat/0105398v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, 1 figure

Scientific paper

10.1103/PhysRevLett.87.230403

Considering a moving vortex line in a dilute atomic Bose-Einstein condensate within time-dependent Hartree-Fock-Bogoliubov-Popov theory, we derive a criterion for the quasiparticle excitations to follow the vortex core rigidly. The assumption of adiabaticity, which is crucial for the validity of the stationary self-consistent theories in describing such time-dependent phenomena, is shown to imply a stringent criterion for the velocity of the vortex line. Furthermore, this condition is shown to be violated in the recent vortex precession experiments.

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