  We propose a general scheme for inducing resonant exchange between spins or
pseudo-spins of unmatched levels via periodic driving. The basic idea is
illustrated for a system of two heteronuclear atoms, for which analytical
results are provided for the effective spin exchange (SE) interaction strength.
It is then applied to the mixture of 23Na and 87Rb atoms with a radio-frequency
(rf) or microwave field near-resonant to the mismatched Zeeman level spacings.
SE interaction engineered this way is applicable to ultracold quantum gas
mixtures involving spinor Bose-Bose, Bose-Fermi, and Fermi-Fermi atoms.
