Dynamical revivals of the paired superfluidity and counterflow superfluidity

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.