Derivation of Markovian master equation by renormalization group method

Yasusada Nambu, Shingo Kukita

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

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.

Original languageEnglish
Article number114002
Journaljournal of the physical society of japan
Volume85
Issue number11
DOIs
Publication statusPublished - Nov 15 2016
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy

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