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The Tsallis-complexity of a semiclassical time-evolution

A.M. Kowalski and A. Plastino

Physica A: Statistical Mechanics and its Applications, 2012, vol. 391, issue 22, 5375-5383

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.

Keywords: Statistical complexity; Tsallis entropy; Permutation entropy; Bandt and Pompe method; Semiclassical theories; Quantum chaos (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:391:y:2012:i:22:p:5375-5383

DOI: 10.1016/j.physa.2012.06.012

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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