On the Assumption of Initial Factorization in the Master Equation for Weakly Coupled Systems II: Solvable Models
arXiv:quant-ph/0602185 · doi:10.1016/j.aop.2006.06.003
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.
25 pages
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- Relaxation to Gaussian Generalized Gibbs Ensembles in Quadratic Bosonic Systems in the Thermodynamic Limit
- Typical pure nonequilibrium steady states and irreversibility for quantum transports
- Adapted projection operator technique for the treatment of initial correlations