Calculation of the tunneling current and the noise for a radio-frequency single electron transistor based on a green's function approach

The time-dependent responses of a single-electron transistor are investigated theoretically by adopting the Green's function approach. Since the formalism takes non-adiabatic effects of the time-dependent perturbation into account, as well as the many-body interaction, the calculated results provide full expressions for the tunneling current and the noise. For typical experimental parameters, we calculate the first-harmonic responses of the single-electron transistor and discuss static voltage effects on the tunneling current and the noise in a radio-frequency single-electron transistor.