Precession of Vortices in Dilute Bose-Einstein Condensates at Finite Temperature

Details Precession of Vortices in Dilute Bose-Einstein Condensates at Finite Temperature Precession of Vortices in Dilute Bose-Einstein Condensates at Finite Temperature

2009-10-12

arxiv.org/abs/0910.2074v1

Phys. Rev. A 80, 035603 (2009)

Physics

Condensed Matter

Quantum Gases

5 pages, 2 figures

Scientific paper

10.1103/PhysRevA.80.035603

We demonstrate that the precessional frequencies of vortices in Bose Einstein condensates (BECs) are determined by a conservation law, and not by the lowest lying excitation energy mode. We determine the precessional frequency for a single off-axis vortex and vortex lattices in BECs using the continuity equation, and solve this self-consistently with the time-independent Hartree-Fock-Bogoliubov (HFB) equations in the rotating frame. We find agreement with zero temperature calculations (Bogoliubov approximation), and a smooth variation in the precession frequency as the temperature is increased. Time-dependent solutions confirm the validity of these predictions.

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