  Molecular dynamics with electronic friction (MDEF) approach can describe
nonadiabatic effects accurately at metal surfaces in the weak nonadiabatic
limit. That being said, MDEF treats nuclear motion classically, such that the
nuclear quantum effects are missing completely in the approach. To address this
limitation, we combine electronic friction with Ring Polymer Molecular Dynamics
(RPMD). In particular, we apply the averaged electronic friction from the metal
surface to the centroid mode of the ring polymer. We benchmark our approach
against quantum dynamics to show that electronic friction with RPMD (EF-RPMD)
can capture zero-point energy as well as transition dynamics accurately. In
addition, we show EF-RPMD can correctly predict the electronic transfer rate
near metal surfaces in the tunneling limit as well as the barrier crossing
limit. We expect our approach will be very useful to study nonadiabatic
dynamics near metal surface when nuclear quantum effects become essential.
