Persistent current by a static non-Hermitian ratchet

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