  Using Nambu$\otimes $spin space Keldysh Green's function approach, we present
a nonequilibrium charge and spin pumping theory of a quantum dot in the
mico-cavity coupled to two superconducting leads. It is found that the charge
currents include two parts: The dissipationless supercurrent standing for the
transfer of coherent Cooper pairs and the pumped quasi-particle current. The
supercurrent exhibits a dynamic $0-\pi $ transition induced by the frequency
and strength of the $\sigma_{-}$ polarized laser field. This dynamic transition
is not affected by the strong Coulomb interaction. Especially, the spin current
appears and is an even function of the phase difference between two
superconductors when the frequency of the polarized laser field is larger than
two times superconducting energy gap. Our theory serves as an extension to
non-superconducting spintronics.
