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Quantum decay of an open chaotic system: A semiclassical approach

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Published 24 December 2004 2005 EDP Sciences
, , Citation M. Puhlmann et al 2005 EPL 69 313 DOI 10.1209/epl/i2004-10347-6

0295-5075/69/3/313

Abstract

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.

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10.1209/epl/i2004-10347-6