On the assumption of initial factorization in the master equation for weakly coupled systems I: General framework

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

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

We analyze the dynamics of a quantum mechanical system in interaction with a reservoir when the initial state is not factorized. In the weak-coupling (van Hove) limit, the dynamics can be properly described in terms of a master equation, but a consistent application of Nakajima-Zwanzig's projection method requires that the reference (not necessarily equilibrium) state of the reservoir be endowed with the mixing property.

Original languageEnglish
Pages (from-to)631-656
Number of pages26
JournalAnnals of Physics
Volume322
Issue number3
DOIs
Publication statusPublished - 2007 Mar
Externally publishedYes

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factorization
trucks
projection
interactions

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 I : General framework. / Tasaki, S.; Yuasa, K.; Facchi, P.; Kimura, Gen; Nakazato, H.; Ohba, I.; Pascazio, S.

In: Annals of Physics, Vol. 322, No. 3, 03.2007, p. 631-656.

Research output: Contribution to journalArticle

Tasaki, S. ; Yuasa, K. ; Facchi, P. ; Kimura, Gen ; Nakazato, H. ; Ohba, I. ; Pascazio, S. / On the assumption of initial factorization in the master equation for weakly coupled systems I : General framework. In: Annals of Physics. 2007 ; Vol. 322, No. 3. pp. 631-656.
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