Nonholonomy of order parameters and su(3) vortices in spin-1 Bose-Einstein condensates
Emi Yukawa, Masahito Ueda
TL;DR
This paper derives a generalized relation for spin-1 Bose-Einstein condensates that reveals complex vortex structures linked to su(3) symmetry, expanding understanding of topological excitations in quantum fluids.
Contribution
It introduces a generalized Mermin-Ho relation applicable to all vortices in spin-1 BECs, highlighting su(3) symmetry and new vortex classes.
Findings
Revealed su(3) mass-current circulation in spin-1 BECs
Identified two classes of vortices based on su(2) subalgebras
Extended the understanding of vortex topology in quantum fluids
Abstract
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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