TY - JOUR
T1 - Derivation of Markovian master equation by renormalization group method
AU - Nambu, Yasusada
AU - Kukita, Shingo
N1 - Funding Information:
This work was supported in part by JSPS Grant-in-Aid for Scientific Research (C) (23540297).
Publisher Copyright:
©2016 The Physical Society of Japan.
PY - 2016/11/15
Y1 - 2016/11/15
N2 - 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.
AB - 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.
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U2 - 10.7566/JPSJ.85.114002
DO - 10.7566/JPSJ.85.114002
M3 - Article
AN - SCOPUS:84994779254
SN - 0031-9015
VL - 85
JO - Journal of the Physical Society of Japan
JF - Journal of the Physical Society of Japan
IS - 11
M1 - 114002
ER -