Berlin 2008 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 23: Quantum chaos I
DY 23.2: Vortrag
Donnerstag, 28. Februar 2008, 10:00–10:15, MA 001
Semiclassical calculation for the survival probability — Daniel Waltner1, •Martha Gutierrez1, Klaus Richter1, and Arseni Goussev2 — 1Institut für Theoretische Physik, Universität Regensburg, 93053 Regensburg — 2Department of Mathematics, University of Bristol, Bristol
In open chaotic systems the classical decay rate is exponential in time, however it is well known that there are quantum corrections at time scales of the order of the Heisenberg time [1]. We calculate semiclassically the leading order correction to the survival probability of a wave packet inside an open chaotic quantum dot. In order to reproduce Random Matrix Theory predictions, we need to calculate, beyond the diagonal approximation, the contribution of a new type of loop - like diagramms, which until now did not have to be taken into account. We discuss implications of this result in the semiclassical approximation for the conductivity in linear response.
[1] K. Frahm, PRE 56, R6237, 1997.