Localization of resonance eigenfunctions on quantum repellers.
We introduce a new phase space representation for open quantum systems. This is a very powerful tool to help advance in the study of the morphology of their eigenstates. We apply it to two different versions of a paradigmatic model, the baker map. This allows us to show that the long-lived resonances are strongly scarred along the shortest periodic orbits that belong to the classical repeller. Moreover, the shape of the short-lived eigenstates is also analyzed. Finally, we apply an antiunitary symmetry measure to the resonances that allows us to quantify their localization on the repeller.
Ermann
Leonardo
L
Departamento de Física, CNEA, Libertador 8250, (C1429BNP) Buenos Aires, Argentina.
Carlo
Gabriel G
GG
Saraceno
Marcos
M