Noise of a single-electron emitter

I analyze the correlation function of currents generated by the periodically driven quantum capacitor emitting single electrons and holes into the chiral waveguide. I compare adiabatic and non-adiabatic, transient working regimes of a single-electron emitter and find the striking difference between the correlation functions in two regimes. Quite generally for the system driven with frequency $\mathrm{\Omega }$ the correlation function depends on two frequencies, $\omega$ and $\mathrm{\ell }\mathrm{\Omega }-\omega$, where $\mathrm{\ell }$ is an integer. For the emitter driven non-adiabatically the correlation functions for different $\mathrm{\ell }$ are similar and almost symmetric in $\omega$. While in the case of adiabatic drive the correlation functions for $\mathrm{\ell }\mathrm{\ne }0$ are highly asymmetric in $\omega$ and exceed significantly the one corresponding to $\mathrm{\ell }=0$. Under optimal operating conditions the correlation function for odd $\mathrm{\ell }$ is zero.