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Quantum localization in rough billiards

Klaus M. Frahm·Dima L. Shepelyansky
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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.

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Klaus M. Frahm, Dima L. Shepelyansky. 1996-12-12. Quantum localization in rough billiards. https://doi.org/10.1103/physrevlett.78.1440

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