On the assumption of initial factorization in the master equation for weakly coupled systems II: Solvable models

Kazuya Yuasa, S. Tasaki, P. Facchi, G. Kimura, Hiromichi Nakazato, I. Ohba, S. Pascazio

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    9 Citations (Scopus)

    Abstract

    We analyze some solvable models of a quantum mechanical system in interaction with a reservoir when the initial state is not factorized. We apply Nakajima-Zwanzig's projection method by choosing a reference state of the reservoir endowed with the mixing property. In van Hove's limit, the dynamics is described in terms of a master equation. We observe that Markovianity becomes a valid approximation for timescales that depend both on the form factors of the interaction and on the observables of the reservoir that can be measured.

    Original languageEnglish
    Pages (from-to)657-676
    Number of pages20
    JournalAnnals of Physics
    Volume322
    Issue number3
    DOIs
    Publication statusPublished - 2007 Mar

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    Keywords

    • Correlations
    • Dissipation
    • Master equation
    • Nakajima-Zwanzig's projection method
    • van Hove's limit

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

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