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

K. Yuasa, S. Tasaki, P. Facchi, G. Kimura, H. Nakazato, I. Ohba, S. Pascazio

Research output: Contribution to journalArticle

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 1

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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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