Completely positive dynamical semigroups and quantum resonance theory
Mathematical Physics
2017-03-08 v1 math.MP
Abstract
Starting form a microscopic system-environment model, we construct a quantum dynamical semigroup for the reduced evolution of the open system. The difference between the true system dynamics and its approximation by the semigroup has the following two properties: It is (linearly) small in the system-environment coupling constant for all times, and it vanishes exponentially quickly in the large time limit. Our approach is based on the quantum dynamical resonance theory.
Keywords
Cite
@article{arxiv.1601.00509,
title = {Completely positive dynamical semigroups and quantum resonance theory},
author = {Martin Könenberg and Marco Merkli},
journal= {arXiv preprint arXiv:1601.00509},
year = {2017}
}