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

• 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.

Nyckelord

classical field-theory

bcs superconductivity

einstein condensation

crossover

intersection

temperature

transition

vortices

topology

mgb2

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