Distribution of resonances in the quantum open baker map

Details Distribution of resonances in the quantum open baker map Distribution of resonances in the quantum open baker map

2008-11-05

arxiv.org/abs/0811.0776v2

Phys. Rev. E 79, 016215 (2009)

Physics

Quantum Physics

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

Scientific paper

10.1103/PhysRevE.79.016215

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.

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