Pair-amplitude dynamics in strongly coupled superconductor–quantum dot hybrids

We consider a three-terminal system consisting of quantum dot strongly coupled to two superconducting reservoirs in the infinite-gap limit and weakly normal metal. Using real-time diagrammatic approach, we calculate dynamics proximity-induced pair amplitude on dot. find that after quench shows pronounced oscillations with frequency determined by coupling superconductors. In addition, it decays exponentially timescale set Strong occur also when is periodically driven both adiabatic fast-driving limit. relate Josephson Andreev current through demonstrate an experimentally accessible quantity.