Localization of resonance eigenfunctions on quantum repellers

Details Localization of resonance eigenfunctions on quantum repellers Localization of resonance eigenfunctions on quantum repellers

2009-04-13

arxiv.org/abs/0904.2015v1

Phys. Rev. Lett. 103, 054102 (2009)

Physics

Quantum Physics

4 pages, 4 figures

Scientific paper

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 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 permits to quantify their localization on the repeller.

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