Perturbative Dynamics of Open Quantum Systems by Renormalization Group Method
Quantum Physics
2017-10-18 v1
Abstract
We analyze perturbative dynamics of a composite system consisting of a quantum mechanical system and an environment by the renormalization group (RG) method. The solution obtained from the RG method has no secular terms and approximates the exact solution for a long time interval. Moreover, the RG method causes a reduction of the dynamics of the composite system under some assumptions. We show that this reduced dynamics is closely related to a quantum master equation for the quantum mechanical system. Then, we compare this dynamics with the exact dynamics in an exactly solvable spin-boson model.
Cite
@article{arxiv.1705.10522,
title = {Perturbative Dynamics of Open Quantum Systems by Renormalization Group Method},
author = {Shingo Kukita},
journal= {arXiv preprint arXiv:1705.10522},
year = {2017}
}
Comments
15 pages, 1 figure