Control of quantum emitter-plasmon strong coupling and energy transport with external electrostatic fields

We investigate a system comprised of a constellation quantum emitters interacting with a localized surface plasmon mode of a metal nanoparticle subject to an externally applied electrostatic field. Due to the strong interactions among the electric field and the plasmonic setup, we show that system enters collective strong coupling regime generating polariton states when the intensity of the applied electrostatic field is increased. This in turn enhances the exciton energy transport rates between two emitters in the system when a single emitter is incoherently pumped. We further analyze how the placement of quantum emitter dipole moment orientation affects the observed collective strong coupling and how the electrostatic field can be used to put our setup to either weak or strong coupling regimes via the interacting electrostatic field.