On the Assumption of Initial Factorization in the Master Equation for Weakly Coupled Systems II: Solvable Models

Details On the Assumption of Initial Factorization in the Master Equation for Weakly Coupled Systems II: Solvable Models On the Assumption of Initial Factorization in the Master Equation for Weakly Coupled Systems II: Solvable Models

2006-02-22

arxiv.org/abs/quant-ph/0602185v2

Ann. Phys. 322 (2007) 657-676

Physics

Quantum Physics

25 pages

Scientific paper

10.1016/j.aop.2006.06.003

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.

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