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Exciton-polariton lattices allow to implement topologically protectedphotonic edge states at optical frequencies. Taking advantage of theinteracting character of polaritons, we show that several topological phases,belonging to the Quantum Anomalous Hall family, can occur in polariton graphenewith the TE-TM spin-orbit coupling and an effective Zeeman field. This Zeemanfield can be entirely controlled by the non-linearity of the macro-occupiedmode created by circularly polarized resonant pumping. The topological phasesfound are distinct from the ones of normal graphene in presence of acombination of Rashba and Zeeman field.

Full Optical Control of Topological Transitions in Polariton Chern Insulator Analog