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We study theoretically a photon-coincidence counting technique aimed at measuring the entanglement between two optical cavities connected by an optical waveguide. Delocalized doubly excited polariton states can be selectively probed by two-photon absorption of an entangled photon pair generated by spontaneous parametric down-conversion with a narrowband pump. Deviations from unity of the second-order correlation function g (2) (τ) of photons emitted from remote cavities reveal intercavity correlations. The coincidence counting signal in the frequency domain reveals the transition frequencies between single-polariton states and between single polaritons and tripolaritons. High-frequency spectral features arise from the counter-rotating terms in the cavity–molecule coupling, rendering them a direct signature for the ultrastrong coupling regime in cavity quantum electrodynamics.
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Gu et al. (2022) studied this question.
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