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Effects of Electron-Vibrational Interaction in Polariton Luminescence: Non-Markovian Fano Resonances and Hot Luminescence

We have developed a non-Markovian theory of the polariton luminescence taking the molecular vibrations into account. The calculations were made in the polariton basis. We have shown that the frequency shift and the polariton spectral lines broadening strongly depend on the frequency-dependent exciton contribution to the polariton. In the single-mode microcavity our non-Markovian theory predicts the Fano resonances in the polariton luminescence, and also narrowing of the spectral lines with the increase of the total number of molecules in the case of the intramolecular nature of the low frequency vibrations. The theory enables us to consider a non-equilibrium (hot) exciton-polariton luminescence similar to the hot luminescence of molecules and crystals. This opens a way for its observation in organic-based nanodevices.