Non-Gaussianity in a quasiclassical electronic circuit

TL;DR

This paper investigates how non-Gaussian noise from a mesoscopic conductor affects the steady-state behavior of a quasiclassical electronic circuit, including quantum corrections and classical-quantum crossover effects.

Contribution

It introduces a method to evaluate quantum corrections to the steady-state PDF and extends inverse formulas to the classical-quantum crossover regime.

Findings

Non-Gaussian noise significantly alters the steady-state PDF.

Quantum fluctuations modify the classical steady-state distribution.

An extended inverse formula links the PDF to noise properties in quantum regimes.

Abstract

We study the non-Gaussian dynamics of a quasiclassical electronic circuit inductively coupled to a mesoscopic conductor. Non-Gaussian noise accompanying the nonequilibrium transport through the conductor significantly modifies the steady-state probability density function (PDF) of the flux in the dissipative circuit. We evaluate the quantum correction of the steady-state PDF by incorporating the quantum fluctuation of the circuit. The inverse formula to infer the statistical properties of the non-Gaussian noise from the steady-state PDF is extended to the classical-quantum crossover regime.