Statistics of Heat Transfer in Mesoscopic Circuits

TL;DR

This paper introduces a method using Keldysh path integrals to analyze heat transfer statistics in mesoscopic circuits, linking energy dissipation fluctuations to charge counting statistics.

Contribution

It presents a novel approach to calculate energy exchange statistics in quantum systems and connects heat dissipation fluctuations with charge transfer cumulants.

Findings

Derived conditions for using heat fluctuation measurements to probe charge statistics.

Applied the method to heat dissipation in mesoscopic conductors.

Established a framework for analyzing energy transfer in quantum circuits.

Abstract

A method to calculate the statistics of energy exchange between quantum systems is presented. The generating function of this statistics is expressed through a Keldysh path integral. The method is first applied to the problem of heat dissipation from a biased mesoscopic conductor into the adjacent reservoirs. We then consider energy dissipation in an electrical circuit around a mesoscopic conductor. We derive the conditions under which measurements of the fluctuations of heat dissipation can be used to investigate higher order cumulants of the charge counting statistics of a mesoscopic conductor.