On the derivation of the GKLS equation for weakly coupled systems
Mathematical Physics
2017-12-19 v1 math.MP
Quantum Physics
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
Cite
@article{arxiv.1709.06472,
title = {On the derivation of the GKLS equation for weakly coupled systems},
author = {Paolo Facchi and Marilena Ligabò and Kazuya Yuasa},
journal= {arXiv preprint arXiv:1709.06472},
year = {2017}
}
Comments
26 pages, 2 figures