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          Institute: MPI für Physik Komplexer Systeme     Collection: Semiclassics and chaos in quantum systems     Display Documents



ID: 479332.0, MPI für Physik Komplexer Systeme / Semiclassics and chaos in quantum systems
Effective Hamiltonian for a microwave billiard with attached waveguide
Authors:Stöckmann, H. J.; Persson, E.; Kim, Y. H.; Barth, M.; Kuhl, U.; Rotter, I.
Language:English
Date of Publication (YYYY-MM-DD):2002-06
Title of Journal:Physical Review E
Journal Abbrev.:Phys. Rev. E
Volume:65
Issue / Number:6
Sequence Number of Article:066211
Review Status:Peer-review
Audience:Not Specified
Abstract / Description:In a recent work the resonance widths in a microwave billiard with attached waveguide were studied in dependence on the coupling strength [E. Persson , Phys. Rev. Lett. 85, 2478 (2000)], and resonance trapping was experimentally found. In the present paper an effective Hamiltonian is derived that depends exclusively on billiard and waveguide geometry. Its eigenvalues give the poles of the scattering matrix provided that the system and environment are defined adequately. Further, we present the results of resonance trapping measurements where, in addition to our previous work, the position of the slit aperture within the waveguide was varied. Numerical simulations with the derived Hamiltonian qualitatively reproduce the experimental data.
External Publication Status:published
Document Type:Article
Communicated by:Heidrun Näther
Affiliations:MPI für Physik Komplexer Systeme/Visitors Program
External Affiliations:Univ Marburg, Fachbereich Phys, Renthof 5, D-35032 Marburg,; Germany; Univ Marburg, Fachbereich Phys, D-35032 Marburg, Germany; Vienna Tech Univ, Inst Theoret Phys, A-1040 Vienna, Austria; Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany
Identifiers:ISI:000176762900050
ISSN:1063-651X
URL:http://ojps.aip.org/getabs/servlet/GetabsServlet?p...
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