Quantum decay of an open chaotic system: A semiclassical approach

2004/01/31 by Mathias Puhlmann, Holger Schanz, Tsampikos Kottos +2
Computer Science · Physics and Astronomy · #Nonlinear Dynamics and Pattern Formation #Quantum Mechanics and Applications #Quantum chaos and dynamical systems #nlin.CD

paper · pdf · doi:10.1209/epl/i2004-10347-6

published as Europhys. Lett. 69 (2005) 313 · minor changes

openalex publication_date 2005/01/20 · arxiv created 2005/03/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 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 quatum graph.

Citations

• Shot Noise in Chaotic Cavities from Action Correlations
• Form factor for a family of quantum graphs: an expansion to third order
• Correlations between Periodic Orbits and their R?le in Spectral Statistics
• Leading off-diagonal approximation for the spectral form factor for uniformly hyperbolic systems
• Semiclassical theory of spectral rigidity

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