Regensburg 2007 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 25: Quantum chaos II
DY 25.3: Talk
Thursday, March 29, 2007, 10:15–10:30, H2
Fidelity Decay in chaotischen Quantensystemen — •Heinerich Kohler — Institut für theoretische Physik, Philosophenweg 19, Universität Heidelberg, 69120 Heidelberg
Fidelity is defined as the modulus square of the overlap integral of an initial wave function which is propagated in time by a Hamiltonian H0 with the same initial wave function which is propagated by a slightly modified Hamiltonian H0+δ V. The surprisingly complex time behaviour of fidelity is described and calculated within the framework of Random Matrix Theory. Non perturbative phenomena like the freeze of fidelity on a high plateau and for long times as well as a revival at Heisenberg time are found. There exists an interesting relation to parametric level correlations. The universality of this relation will be discussed.