Stability of persistent currents in open dissipative quantum fluids

The phenomenon of stable persistent currents is central to the studies of superfluidity in a range of physical systems. While most of the previous theoretical studies of superfluid flows in annular geometries concentrated on conservative systems, here we extend the dynamical stability analysis of persistent currents to open dissipative exciton-polariton superfluids. By considering an exciton-polariton condensate in an optically induced annular trap, we determine dynamical stability conditions for an initially imposed flow with a nonzero orbital angular momentum. We show, theoretically and numerically, that the system can sustain metastable persistent currents in a large parameter region, and describe scenarios of the supercurrent decay due to the dynamical instability.