Noise of a single-electron emitter

TL;DR

This paper investigates the noise characteristics of a single-electron emitter driven periodically, revealing significant differences in correlation functions between adiabatic and non-adiabatic regimes, with implications for quantum electron transport.

Contribution

It provides a detailed comparison of correlation functions in adiabatic and non-adiabatic regimes of a quantum capacitor emitting single electrons and holes, highlighting their distinct behaviors.

Findings

Correlation functions depend on two frequencies, ω and ℓΩ - ω.

Non-adiabatic drive yields similar, symmetric correlation functions across ℓ.

Adiabatic drive results in asymmetric correlation functions with ℓ ≠ 0, often exceeding the ℓ=0 case.

Abstract

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 $\Omega$ the correlation function depends on two frequencies, $\omega$ and $\ell \Omega - \omega$, where $\ell$ is an integer. For the emitter driven non-adiabatically the correlation functions for different $\ell$ are similar and almost symmetric in $\omega$. While in the case of adiabatic drive the correlation functions for $\ell \ne 0$ are highly asymmetric in $\omega$ and exceed significantly the one corresponding to $\ell = 0$. Under optimal operating conditions the correlation function for odd $\ell$ is zero.