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The Tsallis-complexity of a semiclassical time-evolution

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  • Kowalski, A.M.
  • Plastino, A.

Abstract

An investigation is undertaken of semiclassical time-evolutions and their classical limit with the intent of getting insights into the classical–quantum frontier. We deal with a system that represents the interaction between matter and a given field, and our main research tool is the so-called q-complexity quantifier, for which two different versions are considered. The probability distribution associated with the time-evolution process is determined by recourse to the Bandt–Pompe symbolic technique [C. Bandt, B. Pompe, Permutation entropy: a natural complexity measure for time series, Phys. Rev. Lett. 88 (2002) 174102:1–174102:4]. The most salient details of the quantum–classical transition turn out to be described not only well, but also in a better fashion than that of previous literature.

Suggested Citation

  • Kowalski, A.M. & Plastino, A., 2012. "The Tsallis-complexity of a semiclassical time-evolution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(22), pages 5375-5383.
    • Handle: RePEc:eee:phsmap:v:391:y:2012:i:22:p:5375-5383
    DOI: 10.1016/j.physa.2012.06.012
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    References listed on IDEAS

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    1. Martin, M.T. & Plastino, A. & Rosso, O.A., 2006. "Generalized statistical complexity measures: Geometrical and analytical properties," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 369(2), pages 439-462.
    2. Kowalski, A.M. & Plastino, A., 2009. "Bandt–Pompe–Tsallis quantifier and quantum-classical transition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(19), pages 4061-4067.
    3. Kowalski, A.M. & Martin, M.T. & Plastino, A. & Zunino, L., 2009. "Tsallis’ deformation parameter q quantifies the classical–quantum transition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(10), pages 1985-1994.
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