Periodic-Orbit Theory of Level Correlations
Chaotic Dynamics
2007-05-23 v1 Mesoscale and Nanoscale Physics
Abstract
We present a semiclassical explanation of the so-called Bohigas-Giannoni-Schmit conjecture which asserts universality of spectral fluctuations in chaotic dynamics. We work with a generating function whose semiclassical limit is determined by quadruplets of sets of periodic orbits. The asymptotic expansions of both the non-oscillatory and the oscillatory part of the universal spectral correlator are obtained. Borel summation of the series reproduces the exact correlator of random-matrix theory.
Keywords
Cite
@article{arxiv.nlin/0610053,
title = {Periodic-Orbit Theory of Level Correlations},
author = {Stefan Heusler and Sebastian Müller and Alexander Altland and Petr Braun and Fritz Haake},
journal= {arXiv preprint arXiv:nlin/0610053},
year = {2007}
}
Comments
4 pages, 1 figure (+ web-only appendix with 2 pages, 1 figure)