Counting statistics of non-markovian quantum stochastic processes

Christian Flindt, T. Novotny, A. Braggio, M. Sassetti, Antti-Pekka Jauho

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    Abstract

    We derive a general expression for the cumulant generating function (CGF) of non-Markovian quantum stochastic transport processes. The long-time limit of the CGF is determined by a single dominating pole of the resolvent of the memory kernel from which we extract the zero-frequency cumulants of the current using a recursive scheme. The finite-frequency noise is expressed not only in terms of the resolvent, but also initial system-environment correlations. As an illustrative example we consider electron transport through a dissipative double quantum dot for which we study the effects of dissipation on the zero-frequency cumulants of high orders and the finite-frequency noise.
    Original languageEnglish
    JournalPhysical Review Letters
    Volume100
    Issue number15
    Pages (from-to)150601
    ISSN0031-9007
    DOIs
    Publication statusPublished - 2008

    Bibliographical note

    Copyright 2008 American Physical Society

    Keywords

    • NOISE
    • SPECTRUM

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