Quantum localization in rough billiards
Condensed Matter
2009-10-28 v1 chao-dyn
Chaotic Dynamics
Abstract
We study the level spacing statistics p(s) and eigenfunction properties in a billiard with a rough boundary. Quantum effects lead to localization of classical diffusion in the angular momentum space and the Shnirelman peak in p(s) at small s. The ergodic regime with Wigner-Dyson statistics is identified as a function of roughness. Applications for the Q-spoiling in optical resonators are also discussed.
Cite
@article{arxiv.cond-mat/9612118,
title = {Quantum localization in rough billiards},
author = {Klaus M. Frahm and Dima L. Shepelyansky},
journal= {arXiv preprint arXiv:cond-mat/9612118},
year = {2009}
}
Comments
revtex, 4 pages, 5 figures