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APS » Journals » Phys. Rev. B » Volume 65 » Issue 10
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Phys. Rev. B 65, 100512(R) (2002) [4 pages]

Hidden symmetry and knot solitons in a charged two-condensate Bose system

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Egor Babaev1, Ludvig D. Faddeev2, and Antti J. Niemi1
1Institute for Theoretical Physics, Uppsala University, Box 803, S-75108 Uppsala, Sweden
2St. Petersburg Branch of Steklov Mathematical Institute, Russian Academy of Sciences, Fontanka 27, St. Petersburg, Russia

Received 10 June 2001; published 27 February 2002

We show that a charged two-condensate Ginzburg-Landau model or equivalently a Gross-Pitaevskii functional for two charged Bose condensates, can be mapped onto a version of the nonlinear O(3) σ model. This implies in particular that such a system possesses a hidden O(3) symmetry and allows for the formation of stable knotted solitons.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.65.100512
DOI:
10.1103/PhysRevB.65.100512
PACS:
74.20.De, 11.15.Ex
 
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