Derivation of Markovian master equation by renormalization group method
Quantum Physics
2016-11-23 v2
Abstract
We present a derivation of the Markovian master equation by the renormalization group method. Starting from a naive perturbative solution of the von Neumann equation, the reduced density matrix with the coarse grained time steps is obtained using the assumption of short correlation time of the bath field. Then by applying the renormalization group method, we show that the dependence of the specific initial time on the perturbative solution can be removed and the Markovian semigroup master equation in the Gorini--Kossakowski--Lindblad--Sudarshan (GKLS) form is obtained in the weak coupling limit.
Cite
@article{arxiv.1504.03070,
title = {Derivation of Markovian master equation by renormalization group method},
author = {Yasusada Nambu and Shingo Kukita},
journal= {arXiv preprint arXiv:1504.03070},
year = {2016}
}
Comments
12 pages, revised version accepted for publication in J. Phys. Soc. Jpn