Derivation of quantum master equation with counting fields by monitoring a probe
arXiv:1009.1428 · doi:10.1103/PhysRevE.82.051113
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.
7 pages
References in corpus (6)
- Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems
- Fluctuation theorem for currents in open quantum systems
- Bidirectional Single-Electron Counting and the Fluctuation Theorem
- Fluctuation theorem for counting-statistics in electron transport through quantum junctions
- Full Counting Statistics for Number of Electrons Dwelling in a Quantum Dot
- Stochastic approach and fluctuation theorem for ion transport