From Shapiro steps to photon-assisted tunneling in microwave-driven atomic-scale Josephson junctions with a single (magnetic) adatom

Ultra-small Josephson junctions are strongly influenced by noise and damping due to energy dissipation into the environment, which are expected to suppress phase coherence. Here, we investigate the coherence properties of atomic-scale Josephson junctions in a scanning tunneling microscope under microwave excitation. Plain Pb-Pb junctions exhibit hysteretic Shapiro steps as signature of a coherent resonant state. With increasing AC amplitude, phase coherence is reduced due to an increase of thermal fluctuations. In the presence of magnetic adatoms the Josephson coupling energy is reduced and quasi-particle tunneling is enhanced. With AC driving we observe a rapid suppression of coherence that we ascribe to photon-assisted quasi-particle tunneling through Yu-Shiba-Rusinov states. Our results highlight the presence of phase coherence and shed light on the origin of the transition to incoherent transport, thereby revealing the importance of controlling dissipation in nanoscale superconducting devices.