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Acta Physica Polonica A
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2015
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vol. 128
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issue 6
963-967
EN
Scattering experiments are indispensable for the study of classical and quantum systems. In the Heidelberg approach, universal features are addressed by assuming that the reaction zone is fully quantum chaotic. Although it stems from nuclear physics, it later on turned out to be applicable to a large variety of systems on different scales, including classical wave systems. For a long time, the distribution of the off-diagonal scattering-matrix elements resisted analytical treatment. I review two recent studies in which my collaborators and I fully solved this problem. We also carried out a comparison with data from microwave experiments.
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Acta Physica Polonica A
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2009
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vol. 116
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issue 5
741-748
EN
Among the numerous different ways to excite many-body and other complex quantum systems, mechanisms are often found which are clearly distinguished by a simple, typically semiclassical interpretation. In nuclei, these are the collective excitations in which all or large groups of particles move coherently. They often act as "doorways" to other excitations of single-particle character. Examples for and the limitations of the doorway mechanism are discussed. Recent results show that superscars in the barrier billiard serve as perfect object to shed light on aspects of the doorway mechanism which are not directly accessible in traditional quantum systems. To this end, two new statistical observables are employed. Some open questions are addressed.
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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