Influence of global features of a BoseEinstein condensate on the vortex velocity
Abstract
We study the way in which the geometry of the trapping potential affects the vortex velocity in a BoseEinstein condensate confined by a toroidal trap. We calculate the vortex precession velocity through a simple relationship between such a velocity and the gradient of the numerically obtained vortex energy. We observe that our results correspond very closely to the velocity calculated through time evolution simulations. However, we find that the estimates derived from available velocity field formulas present appreciable differences. To resolve such discrepancies, we further study the induced velocity field, analyzing the effect of global
features of the condensate on such a field and on the precession velocity.
 Publication:

European Physical Journal D
 Pub Date:
 September 2009
 DOI:
 10.1140/epjd/e2009001963
 arXiv:
 arXiv:1409.6166
 Bibcode:
 2009EPJD...54..585C
 Keywords:

 03.75.Lm;
 03.75.Kk;
 Tunneling Josephson effect BoseEinstein condensates in periodic potentials solitons vortices and topological excitations;
 Dynamic properties of condensates;
 collective and hydrodynamic excitations superfluid flow;
 Condensed Matter  Quantum Gases;
 Quantum Physics
 EPrint:
 Typo (vector product) in eqs. 7, 8, 10, 12 and 13 of the journal version corrected