  The quantum dynamics of two-species bosons in an optical lattice is studied
within the mean-field theory. The quantum coherence experiences periodical
collapses and revivals, which depends on the relative strength of the inter-and
intra-species interactions. The paired superfluidity and the counterflow
superfluidity are identified and are verified by exact diagonaliztion in the
two-site Hubbard model. We suggest a dynamical method of implementation and
detection for the paired superfluid and the counterflow superfluidity in the
optical lattices.
