From open quantum systems to open quantum maps
Analysis of PDEs
2015-05-18 v3 Machine Learning
Mathematical Physics
Dynamical Systems
math.MP
Chaotic Dynamics
Abstract
For a class of quantized open chaotic systems satisfying a natural dynamical assumption, we show that the study of the resolvent, and hence of scattering and resonances, can be reduced to the study of a family of open quantum maps, that is of finite dimensional operators obtained by quantizing the Poincar\'e map associated with the flow near the set of trapped trajectories.
Cite
@article{arxiv.1004.3361,
title = {From open quantum systems to open quantum maps},
author = {Stéphane Nonnenmacher and Johannes Sjoestrand and Maciej Zworski},
journal= {arXiv preprint arXiv:1004.3361},
year = {2015}
}
Comments
53 pages, 8 figures