  We present a theory of non-equilibrium superconducting proximity effect in an
interacting quantum dot induced by a time-dependent tunnel coupling between dot
and a superconducting lead. The proximity effect, that is established when the
driving frequency fulfills a gate-voltage-dependent resonance condition, can be
probed through the tunneling current into a weakly-coupled normal lead.
Furthermore, we propose to generate and manipulate coherent superpositions of
quantum-dot states with electron numbers differing by two, by applying pulsed
oscillatory variations to the couplings between dot and superconductors.
