Abstract
A charged particle moving in a bounded region of the plane (with periodic boundary conditions) is subject to external periodic electromagnetic fields. Classically, they effect a hyperbolic mapping of the particle configuration space to itself which leads to highly chaotic motion. It is shown that the quantum-mechanical time-evolution operator has anabsolutely continuous spectrum of quasienergies, indicating a strong irregularity in the motion of the quantum system. The quantum time evolution turns out to have nonvanishing algorithmic complexity.
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Weigert, S. The configurational quantum cat map. Z. Physik B - Condensed Matter 80, 3–4 (1990). https://doi.org/10.1007/BF01390645
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DOI: https://doi.org/10.1007/BF01390645