Distribution of resonances in the quantum open baker map

Abstract

We study relevant features of the spectrum of the quantum open baker map. The opening consists of a cut along the momentum $p$ direction of the 2-torus phase space, modelling an open chaotic cavity. We study briefly the classical forward trapped set and analyze the corresponding quantum nonunitary evolution operator. The distribution of eigenvalues depends strongly on the location of the escape region with respect to the central discontinuity of this map. This introduces new ingredients to the association among the classical escape and quantum decay rates. Finally, we could verify that the validity of the fractal Weyl law holds in all cases.

6 pages, 7 figures, accepted for publication in Phys. Rev. E

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• Combining directional light output and ultralow loss in deformed microdisks
• Formation of long-lived, scarlike modes near avoided resonance crossings in optical microcavities
• Fractal Weyl laws for chaotic open systems
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Cited by in corpus (8)

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• Fractal Weyl law for Linux Kernel Architecture
• Transient features of quantum open maps
• Weyl law for open systems with sharply divided mixed phase space
• Composition of quantum operations and products of random matrices