Interacting networks of liquid light

This proposal has been constructed in response to recent achievements in all-optical control over quantum fluids of light known as microcavity exciton-polariton Bose-Einstein condensates. It permits a new path to synthesize large-scale programmable networks of quantum matter driven far from equilibrium for simulation of unconventional many-body Hamiltonians. We will theoretically design and model novel types of such large-scale networks of exciton-polariton condensates to generate valuable new scholarly knowledge and pave the way towards unconventional technologies in quantum simulation using optically programmable nonlinear quantum fluids. Our ambitious research objectives cover: (1) designing condensate vector-vortex networks in a new series of liquid crystal microcavities for high-dimensional spin model simulation; (2) building the theoretical framework and demonstrating of driven-dissipative polariton quasicrystal quantum matter to explore fractal condensation for ultralow threshold polariton lasing; (3) build a polariton Floquet theory based on available optical technologies allowing GHz modulated excitation in the strong coupling regime; (4) and developing polaritonic neural-inspired computing protocols and neuromorphic devices. Addressing these objectives both in theory and experiment will generate valuable new knowledge and technology with high impact in polaritonics, condensed matter physics, solid state quantum technologies, and the quantum simulator communities.