Localization of Resonance Eigenfunctions on Quantum Repellers

LEONARDO ERMANN; GABRIEL G. CARLO; MARCOS SARACENO

PHYSICAL REVIEW LETTERS

AMER PHYSICAL SOC

Año: 2009 vol. 103 p. 54102 - 54106

0031-9007

We introduce a new phase space representation for open quantum systems. This is a very powerful toolto help advance in the study of the morphology of their eigenstates. We apply it to two different versionsof a paradigmatic model, the baker map. This allows us to show that the long-lived resonances are stronglyscarred along the shortest periodic orbits that belong to the classical repeller. Moreover, the shape of theshort-lived eigenstates is also analyzed. Finally, we apply an antiunitary symmetry measure to theresonances that allows us to quantify their localization on the repeller.