Manifestation of the Purcell effect in current transport through a dot-cavity-QED system

Abstract: We study the transport properties of a wire-dot system coupled to a cavity and a photon reservoir. Tuning the photon energy, Rabi-resonant states emerge and in turn resonant current peaks are observed. We demonstrate the effects of the cavity-photon reservoir coupling, the mean photon number in the reservoir, the electron-photon coupling and the photon polarization on the intraband transitions occurring between the Rabi-resonant states, and on the corresponding resonant current peaks. The Rabi-splitting can be controlled by the photon polarization and the electron-photon coupling strength. In the selected range of parameters, we observe the results of the Purcell effect enhancing the current peaks through the cavity by increasing the cavity-reservoir coupling, while they decrease with increasing the electron-photon coupling. In addition, the resonant current peaks are also sensitive to the mean number of photons in the reservoir.