| Issue |
EPL
Volume 86, Number 1, April 2009
|
|
|---|---|---|
| Article Number | 10008 | |
| Number of page(s) | 4 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/86/10008 | |
| Published online | 22 April 2009 | |
Knotted vortex lines in spin-1 Bose-Einstein condensates
1
Institute of Theoretical Physics, Lanzhou University - Lanzhou 730000, PRC
2
School of Mathematics and Statistics, University of Sydney - Sydney, NSW 2006, Australia
Corresponding author: liangjunbeijing@yahoo.com.cn
Received:
10
January
2009
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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