On the Assumption of Initial Factorization in the Master Equation for Weakly Coupled Systems I: General Framework

Details On the Assumption of Initial Factorization in the Master Equation for Weakly Coupled Systems I: General Framework On the Assumption of Initial Factorization in the Master Equation for Weakly Coupled Systems I: General Framework

2006-02-22

arxiv.org/abs/quant-ph/0602184v2

Ann. Phys. 322 (2007) 631-656

Physics

Quantum Physics

33 pages

Scientific paper

10.1016/j.aop.2006.06.004

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.

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