Adaptive Resummation of Markovian Quantum Dynamics
Quantum Physics
2013-09-20 v2
Abstract
We introduce a method for obtaining analytic approximations to the evolution of Markovian open quantum systems. It is based on resumming a generalized Dyson series in a way that ensures optimal convergence even in the absence of a small parameter. The power of this approach is demonstrated by two benchmark examples: the spatial detection of a free particle and the Landau-Zener problem in the presence of dephasing. The derived approximations are asymptotically exact and exhibit errors on the per mil level over the entire parameter range.
Cite
@article{arxiv.1301.2453,
title = {Adaptive Resummation of Markovian Quantum Dynamics},
author = {Felix Lucas and Klaus Hornberger},
journal= {arXiv preprint arXiv:1301.2453},
year = {2013}
}
Comments
5 pages, 2 figures - minor changes, typos corrected