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DY: Dynamik und Statistische Physik
DY 27: Quantum Chaos
DY 27.6: Talk
Tuesday, March 9, 2004, 17:45–18:00, H3
Universal spectral form factor for chaotic dynamics I: The Hadamard-Gutzwiller model — •Sebastian Müller, Stefan Heusler, Petr Braun, and Fritz Haake — Fachbereich Physik, Universität Duisburg-Essen, 45117 Essen
We consider the semiclassical limit of the spectral form factor K(τ) of the Hadamard-Gutzwiller model. Starting from the Gutzwiller type double sum over classical periodic orbits we set out to recover the universal behavior predicted by random-matrix theory, both for dynamics with and without time reversal invariance. For times smaller than half the Heisenberg time TH∝ ℏ−f+1, we extend the previously known τ-expansion to include the cubic term. Our results exemplify the “diagrammatic rules” determining the families of orbit pairs responsible for all orders of the τ-expansion.