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

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• 作者：K. Yuasa ; S. Tasaki ; P. Facchi ; G. Kimura ; H. Nakazato ; I. Ohba ; S. Pascazio
• 关键词：Master equation ; van Hove’ ; s limit ; Dissipation ; Nakajima– ; Zwanzig’ ; s projection method ; Correlations
• 刊名：Annals of Physics
• 出版年：2007
• 出版时间：March 2007
• 年：2007
• 卷：322
• 期：3
• 页码：657-676
• 全文大小：242 K

文摘

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.