Transient features of quantum open maps
arXiv:1203.3229 · doi:10.1103/PhysRevE.85.066204
Abstract
We study families of open chaotic maps that classically share the same asymptotic properties -- forward and backwards trapped sets, repeller dimensions, escape rate -- but differ in their short time behavior. When these maps are quantized we find that the fine details of the distribution of resonances and the corresponding eigenfunctions are sensitive to the initial shape and size of the openings. We study phase space localization of the resonances with respect to the repeller and find strong delocalization effects when the area of the openings is smaller than .
7 pages, 7 figures
References in corpus (15)
- Formation of long-lived, scarlike modes near avoided resonance crossings in optical microcavities
- Fractal Weyl laws for chaotic open systems
- Quantum-to-classical crossover of quasi-bound states in open quantum systems
- Semiclassical structure of chaotic resonance eigenfunctions
- Fractal Weyl law for chaotic microcavities: Fresnel's laws imply multifractal scattering
- Fractal Weyl laws in discrete models of chaotic scattering
- Spectral problems in open quantum chaos
- Localization of resonance eigenfunctions on quantum repellers
- Quantum chaotic resonances from short periodic orbits
- Scarring in open quantum systems
- On the resonance eigenstates of an open quantum baker map
- Distribution of resonances in the quantum open baker map
- Short periodic orbit approach to resonances and the fractal Weyl law
- Generalized Quantum Baker Maps as perturbations of a simple kernel
- The Construction of a Quantum Markov Partition