Hidden symmetry and knot solitons in a charged two-condensate Bose system
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.
- Publication:
-
Physical Review B
- Pub Date:
- March 2002
- DOI:
- arXiv:
- arXiv:cond-mat/0106152
- Bibcode:
- 2002PhRvB..65j0512B
- Keywords:
-
- 74.20.De;
- 11.15.Ex;
- Phenomenological theories;
- Spontaneous breaking of gauge symmetries;
- Condensed Matter - Superconductivity;
- High Energy Physics - Lattice;
- High Energy Physics - Phenomenology;
- High Energy Physics - Theory
- E-Print:
- This version will appear in Phys. Rev. B, added a comment on the case when condensates in two bands do not independently conserve, also added a figure and references to experimental papers on MgB_2 (for which our study is relevant). Miscellaneous links on knot solitons are also available at the homepage of one of the authors http://www.teorfys.uu.se/PEOPLE/egor/ . Animations of knot solitons are available at http://users.utu.fi/h/hietarin/knots/c45_p2.mpg