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We theoretically explore the driven-dissipative physics of geometricallyfrustrated lattices of cavity resonators with relatively weak nonlinearities,i.e. a photon-photon interaction smaller than the loss rate. In such systems,photon modes with zero probability at 'dark' sites are present at thesingle-particle level due to interference effects. In particular, we study thebehavior of a cell with three coupled resonators as well as extended Lieblattices in 1D and 2D. By considering a partial pumping scheme, with thedriving field not applied to the dark sites, we predict that even in presenceof relatively weak photon-photon interactions the nominally dark sites achievea finite photonic population with strong correlations. We show that this is aconsequence of biphoton and multiphoton states that in the absence offrustration would not be visible in the observables.

Probing photon correlations in the dark sites of geometrically frustrated cavity lattices