Gyroscopic motion of superfluid trapped atomic condensates

Abstract

The gyroscopic motion of a trapped Bose gas containing a vortex is studied. We model the system as a classical top, as a superposition of coherent hydrodynamic states, by solution of the Bogoliubov equations, and by integration of the time-dependent Gross-Pitaevskii equation. The frequency spectrum of Bogoliubov excitations, including quantum frequency shifts, is calculated and the quantal precession frequency is found to be consistent with experimental results, though a small discrepancy exists. The superfluid precession is found to be well described by the classical and hydrodynamic models. However the frequency shifts and helical oscillations associated with vortex bending and twisting require a quantal treatment. In gyroscopic precession, the vortex excitation modes $m=\pm 1$ are the dominant features giving a vortex kink or bend, while the $m=+2$ is found to be the dominant Kelvin wave associated with vortex twisting.

18 pages, 7 figures, 1 table

References in corpus (4)

• Temperature Dependence of Damping and Frequency Shifts of the Scissors Mode of a trapped Bose-Einstein Condensate
• A superfluid gyroscope with cold atomic gases
• Collective excitations of trapped Bose condensates in the energy and time domains
• The Moment of Inertia and the Scissors Mode of a Bose-condensed Gas

Cited by in corpus (3)

• The Experimental Observation of a Superfluid Gyroscope in a dilute Bose Condensed Gas
• Superfluid toroidal currents in atomic condensates
• Wave mixing of hybrid Bogoliubov modes in a Bose-Einstein condensate