Volume 69, Number 3, February 2005
|Page(s)||313 - 319|
|Published online||24 December 2004|
Quantum decay of an open chaotic system: A semiclassical approach
Max-Planck-Institut für Strömungsforschung and Institut für Nichtlineare Dynamik Universität Göttingen - Bunsenstraße 10, D-37073 Göttingen, Germany
Accepted: 12 November 2004
We study the quantum probability to survive in an open chaotic system in the framework of the van Vleck-Gutzwiller propagator and present the first such calculation that accounts for quantum interference effects. Specifically, we calculate quantum deviations from the classical decay after the break time t* for both broken and preserved time-reversal symmetry. The source of these corrections is identified in interfering pairs of correlated classical trajectories. In our approach the quantized chaotic system is modelled by a quantum graph.
PACS: 03.65.Sq – Semiclassical theories and applications / 05.45.Mt – Quantum chaos; semiclassical methods
© EDP Sciences, 2005
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