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

Takaaki Monnai

    Research output: Contribution to journal › Article

    3 Citations (Scopus)

    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.

    Original languageEnglish
    Article number051113
    JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
    Volume82
    Issue number5
    DOIs
    Publication statusPublished - 2010 Nov 10

    Fingerprint

    Master Equation
    Counting
    counting
    Probe
    derivation
    Monitoring
    Electron
    precession
    probes
    Fluctuation Theorem
    electrons
    Magnetic Moment
    Term
    Quantum Dots
    Monitor
    theorems
    magnetic moments
    Directly proportional
    quantum dots
    statistics

    ASJC Scopus subject areas

    • Condensed Matter Physics
    • Statistical and Nonlinear Physics
    • Statistics and Probability

    Cite this

    Derivation of quantum master equation with counting fields by monitoring a probe. / Monnai, Takaaki.

    In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 82, No. 5, 051113, 10.11.2010.

    Research output: Contribution to journal › Article

    Monnai, T 2010, 'Derivation of quantum master equation with counting fields by monitoring a probe', Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 82, no. 5, 051113. https://doi.org/10.1103/PhysRevE.82.051113
    Monnai T. Derivation of quantum master equation with counting fields by monitoring a probe. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 2010 Nov 10;82(5). 051113. https://doi.org/10.1103/PhysRevE.82.051113
    Monnai, Takaaki. / Derivation of quantum master equation with counting fields by monitoring a probe. In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 2010 ; Vol. 82, No. 5.
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