Vortex dynamics in trapped Bose-Einstein condensate

Details Vortex dynamics in trapped Bose-Einstein condensate Vortex dynamics in trapped Bose-Einstein condensate

2008-06-12

arxiv.org/abs/0806.2077v2

Physics

Condensed Matter

Statistical Mechanics

16 pages, 18 figures, published in JLTP

Scientific paper

10.1007/s10909-008-9811-9

We perform numerical simulations of vortex motion in a trapped Bose-Einstein condensate by solving the two-dimensional Gross-Pitaevskii Equation in the presence of a simple phenomenological model of interaction between the condensate and the finite temperature thermal cloud. At zero temperature, the trajectories of a single, off - centred vortex precessing in the condensate, and of a vortex - antivortex pair orbiting within the trap, excite acoustic emission. At finite temperatures the vortices move to the edge of the condensate and vanish. By fitting the finite -temperature trajectories, we relate the phenomenological damping parameter to the friction coefficients $\alpha$ and $\alpha^{'}$, which are used to describe the interaction between quantised vortices and the normal fluid in superfluid helium.

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