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We study the s-wave quintet Cooper pairing phase ($S_{tot}=2$) in spin-3/2cold atomic systems and identify various novel features which do not appear inthe spin-1/2 counterpart. A single quantum vortex is shown to be energeticallyless stable than a pair of half-quantum vortices (HQV). The HQV exhibits theglobal analogue of the non-Abelian Alice string and SO(4) Cheshire charge ingauge theories. The non-Abelian HQV loop enables topological generation ofquantum entanglement.Comment: revised version, accepted by Int. J. Mod. Phys.

QUINTET PAIRING AND NON-ABELIAN VORTEX STRING IN SPIN-3/2 COLD ATOMIC SYSTEMS