  We study the Bose polaron problem in a nonequilibrium setting, by considering
an impurity embedded in a quantum fluid of light realized by exciton-polaritons
in a microcavity, subject to a coherent drive and dissipation on account of
pump and cavity losses. We obtain the polaron effective mass, the drag force
acting on the impurity, and determine polaron trajectories at a semiclassical
level. We find different dynamical regimes, originating from the unique
features of the excitation spectrum of driven-dissipative polariton fluids, in
particular a non-trivial regime of acceleration against the flow. Our work
promotes the study of impurity dynamics as an alternative testbed for probing
superfluidity in quantum fluids of light.
