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First Experimental Evidence for Chaos-Assisted Tunneling in a Microwave Annular Billiard

1999/11/19 by C. Dembowski, H.-D. Gräf, H. -D. Graef +5 · 2 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Nonlinear Photonic Systems #Quantum chaos and dynamical systems #chao-dyn #nlin.CD

paper · pdf · doi:10.1103/physrevlett.84.867

published as Phys.Rev.Lett.84:867-870,2000 · 5 pages RevTex, 5 low-resolution figures (high-resolution figures: http://linac.ikp.physik.tu-darmstadt.de/heiko/chaospub.html, to be published in Phys. Rev. Lett

arxiv created 1999/11/19 · openalex publication_date 2000/01/31 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We report on first experimental signatures for chaos-assisted tunneling in a two-dimensional annular billiard. Measurements of microwave spectra from a superconducting cavity with high frequency resolution are combined with electromagnetic field distributions experimentally determined from a normal conducting twin cavity with high spatial resolution to resolve eigenmodes with properly identified quantum numbers. Distributions of quasidoublet splittings serve as basic observables for the tunneling between whispering gallery-type modes localized to congruent, but distinct tori which are coupled weakly to irregular eigenstates associated with the chaotic region in phase space.

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