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arXiv · 0904.2015

Localization of resonance eigenfunctions on quantum repellers

Leonardo Ermann·Gabriel G. Carlo·Marcos Saraceno
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Abstract

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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Leonardo Ermann, Gabriel G. Carlo, Marcos Saraceno. 2009-04-13. Localization of resonance eigenfunctions on quantum repellers. https://doi.org/10.1103/physrevlett.103.054102

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