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This has not been seen for more than a few photons.","posed_since":"2013","precise":"Rydberg electromagnetically induced transparency medium with blockade radius $R_{b}$ and optical depth per blockade radius $\\mathrm{OD}_{b}$. Predicted crystalline order of polaritons (Otterbach et al., PRL 2013). Measure n-photon correlations g^(n)(tau_1,...) showing periodic order across at least 3 photons. 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