Detection of finite frequency current moments with a dissipative resonant circuit

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.

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• Nonsymmetrized noise in a quantum dot: Interpretation in terms of energy transfer and coherent superposition of scattering paths
• Real-time simulation of finite frequency noise from a single electron emitter
• Detection of finite frequency photo-assisted shot noise with a resonant circuit
• Finite frequency noise in a normal metal - topological superconductor junction
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• Full counting statistics of Kondo-type tunneling in a quantum dot: the fluctuation effect of Slave-Boson field
• Non-Gaussianity in a quasiclassical electronic circuit
• One, Two, and $n$ Qubit Decoherence
• Master equation approach to transient quantum transport in nanostructures