QUANTUM LOCALIZATION IN ROUGH BILLIARDS

Authors
FRAHM KM SHEPELYANSKY DL
Citation
Km. Frahm et Dl. Shepelyansky, QUANTUM LOCALIZATION IN ROUGH BILLIARDS, Physical review letters, 78(8), 1997, pp. 1440-1443
Citations number
19
Categorie Soggetti
Physics
Journal title
Physical review letters → ACNP
ISSN journal
00319007
Volume
78
Issue
8
Year of publication
1997
Pages
1440 - 1443
Database
ISI
SICI code
0031-9007(1997)78:8<1440:QLIRB>2.0.ZU;2-V
Abstract
We study the level spacing statistics p(s) and eigenfunction propertie s in a billiard with a rough boundary. Quantum effects lead to localiz ation of classical diffusion in the angular momentum space and the Shn irelman peak in p(s) at small s. The ergodic regime with Wigner-Dyson statistics is identified as a function of roughness. Applications to Q spoiling in optical resonators are also discussed.