  We propose a scheme to generate a persistent current in driven-dissipative
systems which can be described by the generalized Gross-Pitaevskii (GP)
equation. Our proposal consists of fabricating a rachet-potential shape of the
loss-rate profile, which simultaneously breaks the time-reversal and
parity-inversion symmetry. Unlike existing schemes to generate a current using
a rachet potential in Hermitian systems, no dynamic drive is needed. The basic
physics of our scheme is discussed by a simple discrete driven-dissipative GP
model, and the results are also verified by a realistic continuous model.
Furthermore, we demonstrate the experimental feasibility of our scheme to
generate the persistent current in exciton-polariton condensates in a
semiconductor microcavity.
