Experimental investigation of a regime of Wigner ergodicity in microwave rough billiards

We study experimentally a new regime of Wigner ergodicity [K.M. Frahm and D.L. Shepelyansky, Phys. Rev. Lett. 79, 1833 (1997)] in a microwave rough billiard. We show that in the Wigner regime, eigenstates are extended over the whole energy surface but have a strongly peaked nonergodic structure. The...

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Published in:Physical review. E, Statistical, nonlinear, and soft matter physics Statistical, nonlinear, and soft matter physics, 2001-04, Vol.63 (4 Pt 2), p.046208-046208
Main Authors: Hlushchuk, Y, Sirko, L, Kuhl, U, Barth, M, Stöckmann, H J
Format: Article
Language:English
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Summary:We study experimentally a new regime of Wigner ergodicity [K.M. Frahm and D.L. Shepelyansky, Phys. Rev. Lett. 79, 1833 (1997)] in a microwave rough billiard. We show that in the Wigner regime, eigenstates are extended over the whole energy surface but have a strongly peaked nonergodic structure. The Shannon width of the eigenstate distributions is calculated to estimate their spreads and to find their departure from the ergodic distributions.
ISSN:1539-3755
DOI:10.1103/PhysRevE.63.046208