Nonlinear topological lattices and networks in exciton-polariton systems

Exciton-polaritons are hybrid states of light and matter formed in specially grown semiconductor microcavities. They merge properties of condensed matter systems such as significant nonlinear interactions with properties of photonic systems such as near micron-wavelength allowing patterning of arbitrary lattices and graphs. The combination of available fundamental effects gives significant flexibility for designing topological bandstructures. In addition, nonlinear exciton-polariton lattices are suited to forming reservoir type neural networks. These were already shown to allow the performance of benchmark classical tasks such as character recognitions. Theoretical works predict future applications in quantum tomography and information processing.