Complexity of a matter-field Hamiltonian in the vicinity of a quantum instability

A.M. Kowalski, A. Plastino and R. Rossignoli

Physica A: Statistical Mechanics and its Applications, 2019, vol. 513, issue C, 767-774

Abstract: Using as information-quantifiers the entropy and the statistical complexity, we analyze the rich, complex dynamics of a special non linear Hamiltonian H. H describes the interaction between a quantum system and a classical one. The concomitant system exhibits periodicity, quasi-periodicity, not-boundedness, and chaotic regimes. The chaotic phenomenon, together with complex dynamics, arise in the vicinity of an unstable case, that of the purely quantum system.

Keywords: Statistical description versus dynamical one; Complexity; Entropy; Semiquantum system; Poincare sections; Time series; Bandt–Pompe’s probabilities extraction (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:513:y:2019:i:c:p:767-774

DOI: 10.1016/j.physa.2018.08.159

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