Journal
PHYSICAL REVIEW E
Volume 79, Issue 1, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.79.016215
Keywords
chaos; eigenvalues and eigenfunctions; fractals; quantum theory
Categories
Funding
- ANPCyT [PICT 25373]
- CONICET [PIP 6137]
- UBACyT [X237]
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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, modeling 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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