Dortmund 2006 – scientific programme
Parts | Days | Selection | Search | Downloads | Help
MP: Theoretische und Mathematische Grundlagen der Physik
MP 4: Poster 1
MP 4.4: Poster
Wednesday, March 29, 2006, 15:30–16:00, Foyer
Fidelity freeze for orthogonal random matrix models — •H. Kohler1 and H. J. Stöckmann2 — 1Universität Heidelberg — 2Universität Marburg
The concept of fidelity has been introduced to characterize the stability of a quantum-mechanical system against perturbations. The fidelity amplitude is defined as the overlap integral of a wave packet with itself after the development forth and back under the influence of two slightly different Hamiltonians. It was shown by Prosen and Znidaric in linear-response approximation that the decay of the fidelity is frozen if the Hamiltonian of the perturbation contains off-diagonal elements only. In the present work the linear response results are extended by a supersymmetry calculation to arbitrary strengths of the perturbation for the case that the perturbation is a hermitean or a purely imaginary matrix.