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

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

Research output: Contribution to journalArticle

8 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
Externally publishedYes

Fingerprint

factorization
form factors
projection
interactions
approximation

Keywords

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

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

On the assumption of initial factorization in the master equation for weakly coupled systems II : Solvable models. / Yuasa, K.; Tasaki, S.; Facchi, P.; Kimura, Gen; Nakazato, H.; Ohba, I.; Pascazio, S.

In: Annals of Physics, Vol. 322, No. 3, 03.2007, p. 657-676.

Research output: Contribution to journalArticle

Yuasa, K. ; Tasaki, S. ; Facchi, P. ; Kimura, Gen ; Nakazato, H. ; Ohba, I. ; Pascazio, S. / On the assumption of initial factorization in the master equation for weakly coupled systems II : Solvable models. In: Annals of Physics. 2007 ; Vol. 322, No. 3. pp. 657-676.
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