Abstract
We investigate the classical limit of the dynamics of a semiclassical system that represents the interaction between matter and a given field. On using as a quantifier the q- Complexity, we find that it describes appropriately the quantum-classical transition, detecting the most salient details of the changeover. Additionally the q-Complexity results a better quantifier of the problem than the q-entropy, in the sense that the q-range is enlarged, describing the q-Complexity, the most important characteristics of the transition for all q-value.
Highlights
Quantifiers based on information theory, like entropic forms and statistical complexities have proved to be quite useful in the characterization of the dynamics associated to time series, in the wake of the pioneering work of Kolmogorov and Sinai, who converted Shannon’s information theory into a powerful tool for the study of dynamical systems [5, 6]
The Statistical Complexity can be viewed as a functional C[P ] that characterizes the probability distribution P associated to the time series generated by the dynamical system under study
We have studied in this communication, the classical-quantal frontier of the dynamics governed by a semi-classical Hamiltonian that represents the zero-th mode contribution of an strong external field to the production of charged meson pairs
Summary
Quantifiers based on information theory, like entropic forms and statistical complexities (see as examples [1,2,3,4]) have proved to be quite useful in the characterization of the dynamics associated to time series, in the wake of the pioneering work of Kolmogorov and Sinai, who converted Shannon’s information theory into a powerful tool for the study of dynamical systems [5, 6]. In [36] we showed that a wavelet-evaluated q-entropy describes correctly the quantumclassical border and that the associated deformation-parameter q itself characterizes the different regimes involved in the concomitant process, detecting the most salient fine details of the transition. As Er grows from Er = 1 (the “pure quantum instance”) to Er → ∞ (the classical situation), a significant series of morphology-changes is detected, specially in the transition-zone (Er P ≤ Er ≤ Er cl ).
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