Effect of pure dephasing on the Jaynes-Cummings nonlinearities

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We study the effect of pure dephasing on the strong-coupling between a quantum dot and the single mode of a microcavity in the nonlinear regime. We show that the photoluminescence spectrum of the system has a robust tendency to display triplet structures, instead of the expected Jaynes-Cummings pairs of doublets at the incommensurate frequencies ±(√n±√n-1) for integer n. We show that current experimental works may already manifest signatures of single photon nonlinearities.