Detection of finite frequency current moments with a dissipative resonant circuit

TL;DR

This paper proposes a method to measure higher current moments in mesoscopic devices using a dissipative resonant circuit, accounting for dissipation to ensure finite charge fluctuations, and identifies the specific correlators involved.

Contribution

It introduces a framework for measuring finite frequency current moments with dissipation included, and clarifies the current correlators relevant for third moment detection.

Findings

Charge fluctuations remain finite with dissipation.

Third current moment measurement depends on specific correlators.

Method demonstrated with a quantum point contact.

Abstract

We consider the measurement of higher current moments with a dissipative resonant circuit, which is coupled inductively to a mesoscopic device in the coherent regime. Information about the higher current moments is coded in the histograms of the charge on the capacitor plates of the resonant circuit. Dissipation is included via the Caldeira-Leggett model, and it is essential to include it in order for the charge fluctuations (or the measured noise) to remain finite. We identify which combination of current correlators enter the measurement of the third moment. The latter remains stable for zero damping. Results are illustrated briefly for a quantum point contact.