Transient features of quantum open maps

LEONARDO ERMANN; GABRIEL G. CARLO; JUAN PEDROSA; MARCOS SARACENO

PHYSICAL REVIEW E

AMER PHYSICAL SOC

Lugar: New York; Año: 2012 vol. 85 p. 66204 - 66211

1539-3755

We study families of open chaotic maps that classically share the same asymptotic properties—forward andbackward trapped sets, repeller dimensions, and escape rate—but differ in their short time behavior. Whenthese maps are quantized we find that the fine details of the distribution of resonances and the correspondingeigenfunctions are sensitive to the initial shape and size of the openings. We study phase space localization ofthe resonances with respect to the repeller and find strong delocalization effects when the area of the openings issmaller than h.