Dresden 2003 – scientific programme
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DY: Dynamik und Statistische Physik
DY 46: Poster
DY 46.37: Poster
Thursday, March 27, 2003, 15:30–18:00, P1
Decaying quantum graphs — •Mathias Puhlmann1,2, Tsampikos Kottos1, and Holger Schanz1,2 — 1Max-Planck-Institut für Strömungsforschung, Bunsenstr. 10, 37073 Göttingen — 2Institut für Nichtlineare Dynamik, Universität Göttingen, Bunsenstr. 10, 37073 Göttingen
In recent years, quantum graphs have been established as models of quantum systems with classically chaotic dynamics. Because of their simplicity they allow for efficient numerical simulations and are in many cases analytically tractable. In our contribution we consider the decay of the survival probability of a particle on a graph which has semi-infinite leads attached to it. We compare numerical results to predictions from random-matrix theory and derive an exact expression of the survival probability in terms of classical orbits on the graph.