Polariton lattices: a solid-state platform for quantum simulations of correlated and topological states

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The development of quantum simulation lacks compact on-chip scalable platforms. The recentdemonstrations of polariton lattices in semiconductor microcavities, in combination with theirextraordinary nonlinearities, place polaritons as one of the most promising candidates to achievethis goal. The aim of this proposal is to implement polariton lattices in semiconductormicrocavities as a photonic-based solid-state platform for quantum simulations. Thepolariton platform will allow for the engineering of the lattice geometry and site-to-site hoping, statepreparation and detection in individual sites, sensitivity to magnetic fields, and scalability due to thelow value of disorder. The driven-dissipative nature of the system opens the exciting possibility ofstudying out-of-equilibrium strongly correlated phases, but it also calls for new theoreticalmethods. We will combine the expertise in semiconductor physics and technology of fourexperimental groups and the input of three theoretical groups to push polariton nonlinearities intothe strongly interacting regime. We plan on implementing the first polariton simulators bystudying quantum correlations and the topological phases in flat bans and in the presenceof artificial gauge field acting on polaritons in 1D and 2D lattice geometries, bothexperimentally and theoretically. This project will provide the first quantum simulation platformusing scalable lattices at optical wavelengths.