Plasmon-polariton superradiance of two emitters near metal nanorod

We consider two incoherently pumped emitters near metal nanorod, where plasmonic mode is excited due to the resonant coupling with emitters. We show, that efficiency of stationary generation of plasmons per emitter is increased respectively to single emitter near the nanorod. The increase is due to plasmonic superradiance: syhchronization of oscillations of dipole momentums of emitters by electric field of plasmon-polariton mode, similar as photon modes synhronize oscillations of emitters at superradiance in free space. We consider plasmonic superradiance in strongly dissipative environment: at stationary incoherent pump and dephasing. With fully quantum mechanical model we found up to 15 percents increase in the single emitter quantum efficiency at optimum emiter-plasmon coupling. Experimentally plasmonic superradiance can be observed as increase of the efficiency of generation of light per emitter, or as correlations in the emitters blinking.