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Abstract: We study the anomalous diffusion resulting from the standard map in the so-called accelerating state, and we observe that it is determined by unusually large times of sojourn of the classical trajectories in the fractal region at the border between the chaotic sea and the acceleration island. The quantum-mechanical breakdown of this property implies a coherence among so slightly different values of momentum as to become much more robust against environment fluctuations than the quantum localization corresponding to normal diffusion.
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Bonci, Luca; Grigolini, Paolo & Laux, Adam.Anomalous diffusion and environment-induced quantum decoherence,
article,
July 1996;
[College Park, Maryland].
(https://digital.library.unt.edu/ark:/67531/metadc139477/:
accessed March 18, 2024),
University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu;
crediting UNT College of Arts and Sciences.