Dynamical coulomb blockade of multiple andreev reflections -: art. no. 056804

We analyze the dynamical Coulomb blockade of multiple Andreev reflections (MAR) in a superconducting quantum point contact coupled to a macroscopic impedance. We find that at very low transmission the blockade scales as n(2) with n=Int(2 Delta/eV), where V is the bias voltage and Delta is the superconducting gap, as it would correspond to the occurrence of shots of charge ne. For higher transmission the blockade is reduced because of both the Pauli principle and the elastic renormalization of the MAR probability, and for certain voltage regions it may even become an antiblockade; i.e., the current is enhanced due to the coupling with the electromagnetic environment.