Abstract
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 α and α′, which are used to describe the interaction between quantised vortices and the normal fluid in superfluid helium.
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Madarassy, E.J.M., Barenghi, C.F. Vortex Dynamics in Trapped Bose-Einstein Condensate. J Low Temp Phys 152, 122–135 (2008). https://doi.org/10.1007/s10909-008-9811-9
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DOI: https://doi.org/10.1007/s10909-008-9811-9