Collectivity and Periodic Orbits in a Chain of Interacting, Kicked Spins
M. Akila, D. Waltner, B. Gutkin, P. Braun and T. Guhr
Fakultät für Physik, Universität Duisburg-Essen, Lotharstr. 1, 47048 Duisburg, Germany
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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.

DOI: 10.12693/APhysPolA.132.1661
topics: quantum chaos, many-body systems, semiclassics