We introduce stochastic techniques that enable the simulations of polaritons resulting from placing giant two-dimensional molecular aggregate crystals with ${10}^8$ interacting excitonic dyes in realistic multimode cavities. We show that the intermolecular coupling protects the formation of polariton states in the face of strong molecular disorder due to persistent delocalization of the dark molecular states. This demonstrates the nontrivial role of internal aggregate Hamiltonian in polariton properties, and the new computational method opens horizons for stochastic simulations of related systems.

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• Density of states
• Light-matter interaction
• Polaritons
• Aggregates
• Stochastic analysis methods
• Tavis-Cummings model