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

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arxiv cond-mat/0106152 v3 pith:JR5SPVRF submitted 2001-06-08 cond-mat.supr-con hep-lathep-phhep-th

Egor Babaev , Ludvig D. Faddeev , Antti J. Niemi This is my paper
classification cond-mat.supr-conhep-lathep-phhep-th
keywords chargedbosehiddenmodelparticularsolitonssymmetrysystem
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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) $\sigma$-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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