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Berlin 2008 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 23: Quantum chaos I

DY 23.2: Talk

Thursday, February 28, 2008, 10:00–10:15, MA 001

Semiclassical calculation for the survival probabilityDaniel Waltner1, •Martha Gutierrez1, Klaus Richter1, and Arseni Goussev21Institut 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.

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