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Dresden 2009 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 15: Quantum chaos I

DY 15.3: Talk

Wednesday, March 25, 2009, 14:45–15:00, HÜL 386

Coupling fidelity in a microwave billiard — •Bernd Köber1, Ulrich Kuhl1, Hans-Jürgen Stöckmann1, Dmitry Savin2, Thomas Gorin3, and Thomas Seligman41Fachbereich Physik, Philipps-Universität Marburg, Renthof 5, D-35032 Marburg, Germany — 2Department of Mathematical Sciences, Brunel University, Uxbridge UB8 3PH, UK — 3Departamento de Fisica, Universidad de Guadalajara, Guadalajara C.P. 44840, Jalisco, Mexico — 4Instituto de Ciencias Fisicas, Universidad Nacional Autonoma de Mexico, Cuernavaca, Mexico

We investigate the scattering fidelity in a microwave billiard. In former studies we found for global perturbation an agreement with prediction from random matrix theory[1], whereas in case of a local perturbation an algebraic decay was found[2]. In this presentation we use the coupling to an external channel as a perturbation parameter, which is inherent to systems to be used for quantum computing. We derive an exact formula using an supersymmetrical ansatz and compare it with experiments in an chaotic billiard, where the coupling of a channel was changed by means of an slit. Again an algebraic decay for large times is found and the experiment confirms this findings.

[1] R. Schäfer, H.-J. Stöckmann, T. Gorin, and T. H. Seligman, Phys. Rev. Lett. 95, 184102 (2005).

[2] R. Höhmann, U. Kuhl, and H.-J. Stöckmann. Phys. Rev. Lett. 100, 124101 (2008).

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