Generalized Complexity and Classical-Quantum Transition

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 qComplexity, 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.

Fluctuations, Entropic Quantifiers and Classical-Quantum Transition

“…Such transition can be assimilated to a classical-quantal one [29], which makes our present results to agree with those derived for the entirely different scenario of Cooper model in [14,15].…”

“…Here we reconfirm such results for a much simpler Hamiltonian than the one of [14,15], that of the Harmonic Oscillator (HO). This is a really important system and HO insights usually have a wide impact.…”

“…The motivation of the present endeavor is the fact that plenty of evidence indicates that the statistical complexity is maximal in the transition region between classical and quantum regimes [14,15]. Here we reconfirm such results for a much simpler Hamiltonian than the one of [14,15], that of the Harmonic Oscillator (HO).…”

Permutation Entropy and Its Main Biomedical and Econophysics Applications: A Review

“…Yet, uncountable other examples of applications can be found in the literature: they include characterization of correlated stochastic processes [91][92][93] and lasers dynamics [94][95][96][97], identification of the quantum-classical transition [20,[98][99][100], analysis of solar winds time series [101] and of climate evolution [90], songs classification [102], analysis of motor current signals [103], control of machine tool chatter phenomena [104], characterization of gene expression [105], optimization of grid computing [79], characterization and improvements of pseudo-random number generators (PSRG) [7,[106][107][108][109], determination of the sampling period for chaotic attractors which preserves the chaotic dynamics [110], and encryption test of messages in lasers signals [111].…”

Deformed Tsallis-statistics analysis of a complex nonlinear matter–field system

“…In such a light, the purpose of the present effort is to look for broader horizons in our statistical research, than those of [26]. This is precisely why we appeal to a possible q-statistics' contribution to the problem, by recourse to the q-Entropy (1) and the q-statistical complexity [28], that allow for considerable enlargement of our statistical arsenal.…”