Persistent polarization oscillations in ring-shape polariton condensates

We predict the limit cycle solution for a ring-shape bosonic condensate of exciton-polaritons confined in an optically induced rotating trap. The limit cycle manifests itself with polarization oscillations on a characteristic timescale of tens of picoseconds. The effect arises due to the interplay between orbital motion and the polarization degree of freedom. It is specific to spinor bosonic condensates and would be absent in a scalar case, where a bistability of stationary solutions would be observed instead. This work offers a tool of initialization and control of qubits based on superpositions of polariton condensates characterized by different topologic charges.