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Several groups have recently suggested ways to realize strongly correlated states of photons respectively polaritons. Apart from the fascination for theorists, such systems represent alternative quantum simulators with several advantages over cold atoms. We present recent results on the model proposed by Greentree et al. obtained using the variational cluster approach as well as quantum Monte Carlo simulations. The focus is on quantum fluctuations ignored in previous mean-field theories, finite temperature effects on the insulating Mott state, as well as detuning. In particular, we calculate single-particle spectral functions and the dynamic structure factor in both the superfluid and the Mott insulating states, and compare our findings to the Bose-Hubbard model. We also discuss the implications of our work for potential experimental realizations of solid-light systems. |
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