Quantum decay of an open chaotic system: a semiclassical approach
arXiv:nlin/0401037 · doi:10.1209/epl/i2004-10347-6
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.
minor changes
References in corpus (17)
- Semiclassical Foundation of Universality in Quantum Chaos
- Semiclassical Theory of Chaotic Quantum Transport
- Chaotic Scattering on Graphs
- Leading off-diagonal approximation for the spectral form factor for uniformly hyperbolic systems
- Quantum Versus Classical Decay Laws in Open Chaotic Systems
- Unitary stochastic matrix ensembles and spectral statistics
- Quantum Poincaré Recurrences
- The Leading Off-Diagonal Correction to the Form Factor of Large Graphs
- Relaxation process in a regime of quantum chaos
- Shot noise from action correlations
- Quantal-Classical Duality and the Semiclassical Trace Formula
- Quantum Fractal Fluctuations
- Form factor for a family of quantum graphs: An expansion to third order
- Decay Rates and Survival Probabilities in Open Quantum Systems
- Quantum relaxation in open chaotic systems
- Quantum Poincare Recurrences for Hydrogen Atom in a Microwave Field
- Quantum mechanical relaxation of open quasiperiodic systems
Cited by in corpus (9)
- Quantum Graphs: Applications to Quantum Chaos and Universal Spectral Statistics
- Periodic-Orbit Theory of Universality in Quantum Chaos
- Leaking Chaotic Systems
- Dynamics of Anderson localization in open 3D media
- Semiclassical Approach to Chaotic Quantum Transport
- Semiclassical Mechanism for the Quantum Decay in Open Chaotic Systems
- Semiclassical Theory for Decay and Fragmentation Processes in Chaotic Quantum Systems
- Quantum particle escape from a time-dependent confining potential
- Chaotic Quantum Decay in Driven Biased Optical Lattices