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Levelstatistics and stochasticity in a driven quantum system

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Zeitschrift für Physik B Condensed Matter

Abstract

We investigate quantum properties of one anisotropic spin driven by an external time-dependent magnetic field which shows a transition from regular to irregular dynamics with increasing field strength in the classical limit. In particular we study the statistical properties of the quasi-spectrum. Our results support the conjecture that Poisson- and GOE-statistics are to be associated with integrable and nonintegrable systems resp. in the semiclassical limit. Approaching the quantum case we observe significant deviations from GOE statistics.

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Authors and Affiliations

  1. Institut für Theoretische Physik, Universität Hannover, Appelstrasse 2, D-3000, Hannover 1, Germany

    H. Frahm & H. J. Mikeska

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  1. H. Frahm
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  2. H. J. Mikeska
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Frahm, H., Mikeska, H.J. Levelstatistics and stochasticity in a driven quantum system. Z. Physik B - Condensed Matter 65, 249–253 (1986). https://doi.org/10.1007/BF01303848

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  • DOI: https://doi.org/10.1007/BF01303848

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