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Nonholonomy of order parameters and su(3) vortices in spin-1 Bose-Einstein condensates

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arxiv 1804.05518 v1 pith:BKJ2TB7V submitted 2018-04-16 cond-mat.quant-gas

Emi Yukawa , Masahito Ueda This is my paper · ORCID
classification cond-mat.quant-gas
keywords vorticesorderrelationspin-1applicablebose-einsteincirculationclasses
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A generalized Mermin-Ho relation for a spin-1 BEC is derived, which is applicable to vortices regardless of the symmetry and spin polarization of the order parameter. The obtained relation implies an su(3) mass-current circulation and two classes of vortices corresponding to two different su(2) subalgebras.

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