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Scattering from a Ring Graph - A~Simple Model for the Study of Resonances

100%
Waltner D., Smilansky U.
Acta Physica Polonica A
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2013
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vol. 124
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issue 6
1087-1090
EN
Scattering from the very simple ring graph is shown to display several basic features which underlie the complex (chaotic) phenomena observed in scattering from more complex graphs. In particular we demonstrate the appearance of arbitrarily narrow resonances - the "topological resonances" which are directly linked to the existence of cycles. We use the ring graph to study the response of such resonances to perturbations induced by a time-dependent random noise.
2
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Collectivity and Periodic Orbits in a Chain of Interacting, Kicked Spins

71%
Akila M., Waltner D., Gutkin B., Braun P., Guhr T.
Acta Physica Polonica A
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2017
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vol. 132
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issue 6
1661-1665
EN
The field of quantum chaos originated in the study of spectral statistics for interacting many-body systems, but this heritage was almost forgotten when single-particle systems moved into the focus. In recent years new interest emerged in many-body aspects of quantum chaos. We study a chain of interacting, kicked spins and carry out a semiclassical analysis that is capable of identifying all kinds of genuine many-body periodic orbits. We show that the collective many-body periodic orbits can fully dominate the spectra in certain cases.
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