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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