Leading off-diagonal contribution to the spectral form factor of chaotic quantum systems
Chaotic Dynamics
2009-11-10 v1
Abstract
We semiclassically derive the leading off-diagonal correction to the spectral form factor of quantum systems with a chaotic classical counterpart. To this end we present a phase space generalization of a recent approach for uniformly hyperbolic systems (M. Sieber and K. Richter, Phys. Scr. T90, 128 (2001); M. Sieber, J. Phys. A: Math. Gen. 35, L613 (2002)). Our results coincide with corresponding random matrix predictions. Furthermore, we study the transition from the Gaussian orthogonal to the Gaussian unitary ensemble.
Keywords
Cite
@article{arxiv.nlin/0303053,
title = {Leading off-diagonal contribution to the spectral form factor of chaotic quantum systems},
author = {M. Turek and K. Richter},
journal= {arXiv preprint arXiv:nlin/0303053},
year = {2009}
}
Comments
8 pages, 2 figures; J. Phys. A: Math. Gen. (accepted for publication)