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