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arXiv · 1009.1428

Derivation of quantum master equation with counting fields by monitoring a probe

Takaaki Monnai
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Abstract

We show a microscopic derivation of a quantum master equation with counting terms which describes the electron statistics. A localized spin behaves as a probe whose precession angle monitors the net electron current by the magnetic-moment interaction. The probe Hamiltonian is proportional to the current, and is determined self-consistently for a model of a quantum dot. Then it turns out that the quantum master equation for the spin-precession contains the counting terms. As an application, we show the fluctuation theorem for the electron current.

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Takaaki Monnai. 2010-09-08. Derivation of quantum master equation with counting fields by monitoring a probe. https://doi.org/10.1103/physreve.82.051113

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