We present an analytical model for the plasmonic enhancement of metal photoluminescence (MPL) in metal nanostructures with a characteristic size below the diffraction limit. In such systems, the primary mechanism of MPL enhancement is the excitation of localized surface plasmons (LSP) by recombining carriers followed by photon emission due to LSP radiative decay. For plasmonic nanostructures of arbitrary shape, we obtain a universal expression for the MPL Purcell factor that describes the plasmonic enhancement of MPL in terms of the metal dielectric function, LSP frequency, and system volume. We find that the lineshape of the MPL spectrum is affected by the interference between direct carrier recombination processes and those mediated by plasmonic antenna which leads to a blueshift of MPL spectral band relative to LSP resonance in scattering spectra observed in numerous experiments.
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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