On the Derivation of the GKLS Equation for Weakly Coupled Systems

Paolo Facchi, Marilena Ligabò, Kazuya Yuasa

    Research output: Contribution to journalArticle

    Abstract

    We consider the reduced dynamics of a small quantum system in interaction with a reservoir when the initial state is factorized. We present a rigorous derivation of a GKLS master equation in the weak-coupling limit for a generic bath, which is not assumed to have a bosonic or fermionic nature, and whose reference state is not necessarily thermal. The crucial assumption is a reservoir state endowed with a mixing property: the n-point connected correlation function of the interaction must be asymptotically bounded by the product of two-point functions (clustering property).

    Original languageEnglish
    Article number1740017
    JournalOpen Systems and Information Dynamics
    Volume24
    Issue number4
    DOIs
    Publication statusPublished - 2017 Dec 1

    Fingerprint

    Weakly Coupled System
    derivation
    Weak Coupling
    Master Equation
    Interaction
    Quantum Systems
    Correlation Function
    baths
    Clustering
    interactions
    products

    Keywords

    • Master equation
    • mixing
    • van Hoves limit

    ASJC Scopus subject areas

    • Statistical and Nonlinear Physics
    • Statistics and Probability
    • Mathematical Physics

    Cite this

    On the Derivation of the GKLS Equation for Weakly Coupled Systems. / Facchi, Paolo; Ligabò, Marilena; Yuasa, Kazuya.

    In: Open Systems and Information Dynamics, Vol. 24, No. 4, 1740017, 01.12.2017.

    Research output: Contribution to journalArticle

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