Volume 86, Number 1, April 2009
|Number of page(s)||4|
|Published online||22 April 2009|
Knotted vortex lines in spin-1 Bose-Einstein condensates
Institute of Theoretical Physics, Lanzhou University - Lanzhou 730000, PRC
2 School of Mathematics and Statistics, University of Sydney - Sydney, NSW 2006, Australia
Corresponding author: email@example.com
Accepted: 15 March 2009
Knotted vortex lines in the spin-1 Bose-Einstein condensates are studied. The Faddeev-Niemi model is considered, and it is found that naturally there exist topological vortex line structures in the condensates. We focus on the knotted vortex lines and examine their Faddeev-Niemi knot quantum number. It is shown that the Faddeev-Niemi number is identical to the sum of all the (self-)linking numbers of the knots family and is preserved during the branching processes of vortex lines.
PACS: 03.75.Mn – Multicomponent condensates; spinor condensates / 47.32.cd – Vortex stability and breakdown / 02.10.Kn – Knot theory
© EPLA, 2009
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