Distribution of resonances in the quantum open baker map

JUAN PEDROSA; GABRIEL G. CARLO; DIEGO WISNIACKI; LEONARDO ERMANN

PHYSICAL REVIEW E

AMER PHYSICAL SOC

Año: 2009 vol. 79 p. 16215 - 16220

1539-3755

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