Abstract

I will start by describing the basic motivation for using strongly interacting systems of photons to simulate condensed matter phenomena. I will proceed by briefly reviewing our founding results on the simulations of Mott to superfluid phase transitions in coupled cavities [1,2] doped with two level systems. I will also epigrammatically mention the main ideas behind the photonic simulation of quantum spin models [3], the Fractional Hall effect [4], and many-body entanglement in dissipative cavity arrays [5].

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