@article{fe02406c7730428893aeca975ab2658d,
title = "On the assumption of initial factorization in the master equation for weakly coupled systems I: General framework",
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.",
keywords = "Correlations, Dissipation, Master equation, Nakajima-Zwanzig's projection method, van Hove's limit",
author = "S. Tasaki and K. Yuasa and P. Facchi and G. Kimura and H. Nakazato and I. Ohba and S. Pascazio",
note = "Funding Information: We thank D.A. Lidar and A. Shabani for discussions. This work is partly supported by the bilateral Italian–Japanese Projects II04C1AF4E on “Quantum Information, Computation and Communication” of the Italian Ministry of Instruction, University and Research, and 15C1 on “Quantum Information and Computation” of the Italian Ministry for Foreign Affairs, by the European Community through the Integrated Project EuroSQIP, by the Grant for The 21st Century COE Program “Holistic Research and Education Center for Physics of Self-Organization Systems” at Waseda University, the Grant-in-Aid for the COE Research “Establishment of Molecular Nano-Engineering by Utilizing Nanostructure Arrays and Its Development into Micro-Systems” at Waseda University (No. 13CE2003), and the Grants-in-Aid for Scientific Research on Priority Areas “Control of Molecules in Intense Laser Fields” (No. 14077219), “Dynamics of Strings and Fields” (No. 13135221), and for Young Scientists (B) (No. 18740250) from the Ministry of Education, Culture, Sports, Science and Technology, Japan, and by Grants-in-Aid for Scientific Research (C) (Nos. 14540280, 17540365, and 18540292) from the Japan Society for the Promotion of Science. ",
year = "2007",
month = mar,
doi = "10.1016/j.aop.2006.06.004",
language = "English",
volume = "322",
pages = "631--656",
journal = "Annals of Physics",
issn = "0003-4916",
publisher = "Academic Press Inc.",
number = "3",
}