Non-Markovian dynamics in the theory of full counting statistics

Christian Flindt, A. Braggio, Tomas Novotny

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    Abstract

    We consider the theoretical description of real-time counting of electrons tunneling through a Coulomb-blockade quantum dot using a detector with finite bandwidth. By tracing out the quantum dot we find that the dynamics of the detector effectively is non-Markovian.We calculate the cumulant generating function corresponding to the resulting non-Markovian rate equation and find that the measured current cumulants behave significantly differently compared to those of a Markovian transport process. Our findings provide a novel interpretation of noise suppression found in a number of systems.
    Original languageEnglish
    Title of host publicationProceedings of AIP Conference
    Number of pages531
    Volume922
    Publication date2007
    Publication statusPublished - 2007
    EventAIP Conference -
    Duration: 1 Jan 2007 → …

    Conference

    ConferenceAIP Conference
    Period01/01/2007 → …

    Keywords

    • detectors
    • non-Markovian dynamics
    • Full counting statistics

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