Anomalous slow fidelity decay for symmetry breaking perturbations
Chaotic Dynamics
2009-11-11 v1
Abstract
Symmetries as well as other special conditions can cause anomalous slowing down of fidelity decay. These situations will be characterized, and a family of random matrix models to emulate them generically presented. An analytic solution based on exponentiated linear response will be given. For one representative case the exact solution is obtained from a supersymmetric calculation. The results agree well with dynamical calculations for a kicked top.
Keywords
Cite
@article{arxiv.nlin/0601020,
title = {Anomalous slow fidelity decay for symmetry breaking perturbations},
author = {T. Gorin and H. Kohler and T. Prosen and T. H. Seligman and H. -J. Stoeckmann and M. Znidaric},
journal= {arXiv preprint arXiv:nlin/0601020},
year = {2009}
}
Comments
4 pages, 2 figures