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

Egor Babaev·Ludvig D. Faddeev·Antti J. Niemi
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Abstract

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. The results, in particular, should be relevant to the superconducting MgB_2.

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Egor Babaev, Ludvig D. Faddeev, Antti J. Niemi. 2002-01-22. Hidden symmetry and knot solitons in a charged two-condensate Bose system. https://doi.org/10.1103/physrevb.65.100512

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