Topological Defects in Ferromagnetic, Antiferromagnetic and Cyclic Spinor Condensates -- A Homotopy Theory

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dc.creatorZhang, Yunbo
dc.creatorMäkelä, Harri
dc.creatorSuominen, Kalle-Antti
dc.date2004-04-06
dc.date.accessioned2026-07-07T02:57:28Z
dc.date.available2026-07-07T02:57:28Z
dc.descriptionWe apply the homotopy group theory in classifying the topological defects in atomic spin-1 and spin-2 Bose-Einstein condensates. The nature of the defects depends crucially on the spin-spin interaction between the atoms. We find the topologically stable defects both for spin-1 ferromagnetic and anti-ferromagnetic states, and for spin-2 ferromagnetic and cyclic states. With this rigorous approach we clarify the previously controversial identification of symmetry groups and order parameter spaces for the spin-1 anti-ferromagnetic state, and show that the spin-2 cyclic case provides a rare example of a physical system with non-Abelian line defects, like those observed in biaxial nematics. We also show the possibility to produce vortices with fractional winding numbers of 1/2, 1/3 and their multiples in spinor condensates.
dc.descriptionTo appear in "Progress in Ferromagnetic Research", Frank Columbus, editor (Nova Science Publishers, New York, 2004) A continuation of cond-mat/0305489
dc.identifierhttps://arxiv.org/abs/cond-mat/0404138
dc.identifierhttp://arxiv.org/abs/cond-mat/0404138
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/23682
dc.subjectSoft Condensed Matter
dc.titleTopological Defects in Ferromagnetic, Antiferromagnetic and Cyclic Spinor Condensates -- A Homotopy Theory
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