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

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dc.creatorBabaev, Egor
dc.creatorFaddeev, Ludvig D.
dc.creatorNiemi, Antti J.
dc.date2001-06-08
dc.date2002-01-22
dc.date.accessioned2026-07-07T10:31:53Z
dc.date.available2026-07-07T10:31:53Z
dc.descriptionWe 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.
dc.descriptionThis 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
dc.identifierhttps://arxiv.org/abs/cond-mat/0106152
dc.identifierhttp://arxiv.org/abs/cond-mat/0106152
dc.identifierPhys.Rev.B65:100512,2002
dc.identifierdoi:10.1103/PhysRevB.65.100512
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/178569
dc.subjectSuperconductivity
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Theory
dc.titleHidden symmetry and knot solitons in a charged two-condensate Bose system
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