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Quantum maps

Supervisor: Jens Marklof

Theme: Quantum Chaos

Quantum maps form some of the simplest models of quantum chaos. Quantum maps are certain unitary N by N matrices, whose eigenvalues and eigenvectors exhibit, in the limit of large N, the same statistical features as the energy levels and stationary states of more realistic quantum systems. One of the hot topics is currently the analysis of localization properties of the eigenstates, and the analysis of so-called intermediate statistics in pseudo-integrable systems.