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.
Departamento de Física, CNEA, Libertador 8250, (C1429BNP) Buenos Aires, Argentina.
Leonardo
L
Ermann
Gabriel G
GG
Carlo
Marcos
M
Saraceno