@article{8fff46227d3244c59dd8779565b063ac,
title = "On the Derivation of the GKLS Equation for Weakly Coupled Systems",
abstract = "We consider the reduced dynamics of a small quantum system in interaction with a reservoir when the initial state is factorized. We present a rigorous derivation of a GKLS master equation in the weak-coupling limit for a generic bath, which is not assumed to have a bosonic or fermionic nature, and whose reference state is not necessarily thermal. The crucial assumption is a reservoir state endowed with a mixing property: the n-point connected correlation function of the interaction must be asymptotically bounded by the product of two-point functions (clustering property).",
keywords = "Master equation, mixing, van Hoves limit",
author = "Paolo Facchi and Marilena Ligab{\`o} and Kazuya Yuasa",
note = "Funding Information: This work was partially supported by INFN through the project “QUANTUM”, by the Italian National Group of Mathematical Physics (GNFM-INdAM), and by the Top Global University Project from the Ministry of Education, Culture, Sports, Science and Technology (MEXT), Japan. Funding Information: M. L. was supported by Cohesion and Development Fund 2007-2013 — APQ Research Puglia Region “Regional program supporting smart specialization and social and environmental sustainability – FutureInResearch”. Funding Information: K. Y. was supported by the Grant-in-Aid for ScientificResearch (C) (No. 26400406) from the Japan Society for the Promotion of Science (JSPS) and by the Waseda University Grant for Special Research Projects (No. 2017K-236). Publisher Copyright: {\textcopyright} 2017 World Scientific Publishing Company.",
year = "2017",
month = dec,
day = "1",
doi = "10.1142/S1230161217400170",
language = "English",
volume = "24",
journal = "Open Systems and Information Dynamics",
issn = "1230-1612",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "4",
}