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Statistics of Heat Transfer in Mesoscopic Circuits

M. Kindermann·S. Pilgram
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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.

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M. Kindermann, S. Pilgram. 2003-12-17. Statistics of Heat Transfer in Mesoscopic Circuits. https://doi.org/10.1103/physrevb.69.155334

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