We study the role of non-Markovian effects, originating from optical dispersion of metal dielectric function, in the emission spectrum of a quantum emitter resonantly coupled to a surface plasmon in a metal-dielectric structure as the system transitions to strong coupling regime. By using a quantum approach to interacting plasmons that incorporates the effects of dispersion and losses in the coupling parameters, we obtain analytically the emission spectrum for an exciton-plasmon system with characteristic size below the diffraction limit. In the strong coupling regime, the dispersion-induced non-Markovian effects lead to dramatic changes in the emission spectra by causing inversion of spectral asymmetry, as compared with classical and quantum models based on the Markov approximation, which results in a strong enhancement of the lower frequency polaritonic band.
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