  We consider a new kind of superconducting proximity effect created by the
tunneling of "spin split" Cooper pairs between two conventional superconductors
connected by a normal conductor containing a quantum dot. The difference
compared to the usual superconducting proximity effect is that the spin states
of the tunneling Cooper pairs are split into singlet and triplet components by
the electron spin-orbit coupling, which is assumed to be active in the normal
conductor only. We demonstrate that the supercurrent carried by the spin-split
Cooper pairs can be manipulated both mechanically and electrically for
strengths of the spin-orbit coupling that can realistically be achieved by
electrostatic gates.
