  The spinor dynamics of Bose-Einstein condensates of 87Rb atoms with hyperfine
spins 1 and 2 were investigated. A technique of simultaneous Ramsey
interferometry was developed for individual control of the vectors of two spins
with almost the same Zeeman splittings. The mixture of spinor condensates is
generated in the transversely polarized spin-1 and the longitudinally polarized
spin-2 states. The time evolution of the spin-1 condensate exhibits dephasing
and rephasing of the Larmor precession due to the interaction with the spin-2
condensate. The scattering lengths between spin-1 and -2 atoms were estimated
by comparison with the numerical simulation using the Gross-Pitaevskii
equation. The proposed technique is expected to facilitate the further study of
multiple spinor condensates.
