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.
Quantum chaos was discovered in atomic nuclei, which influences the course of nuclear reactions. But it turned out that the quantum chaos occurs universally for a broad class of problems, for example, when analyzing the distribution of spectral lines in the optical, acoustic, microwave technology. And also quantum chaos is discussed in connection with the construction of quantum computers.
CS
Kvantovy chaos byl objeven u atomovych jader, kde ovlivnuje prubeh jadernych reakci. Ovsem ukazalo se, ze kvantovy chaos se vyskytuje univerzalne u sirokych tfid problemu, napfiklad pfi analyze rozdeleni spektralnych car v optice, v akustice, v mikrovlnne technice. A o kvantovem chaosu se mluvi i v souvislosti s uvahami o konstrukci kvantovych pocitacu.
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