Photon-blockade-induced Mott transitions and XY spin models in coupled cavity arraysPhoton-blockade-induced Mott transitions and XY spin models in coupled cavity arrays Peer-Reviewed Journal Publication Δημοσίευση σε Περιοδικό με Κριτές 2015-10-212007enWe propose a physical system where photons could exhibit strongly correlated effects. We demonstrate how a Mott-insulator phase of atom-photon excitations (polaritons) can arise in an array of individually addressable coupled electromagnetic cavities when each of these cavities is coupled resonantly to a single two-level system (atom, quantum dot, or Cooper pair). This Mott phase is characterized by the same integral number of net polaritonic excitations with photon blockade providing the required repulsion between the excitations in each site. Detuning the atomic and photonic frequencies suppresses this effect and induces a transition to a photonic superfluid. Finally, on resonance the system can straightforwardly simulate the dynamics of many-body spin systems.http://creativecommons.org/licenses/by/4.0/Physical Review A763 Aggelakis Dimitrios Αγγελακης Δημητριος Santos Marcelo Franca Bose Sougato American Physical Society Coupled cavities