Fisher information description of the classical–quantal transition

We investigate the classical limit of the dynamics of a semiclassical system that represents the interaction between matter and a given field. The concept of Fisher Information measure (FF) on using as a quantifier of the process, we find that it adequately describes the transition, detecting the most salient details of the changeover. Used in conjunction with other possible information quantifiers, such as the Normalized Shannon Entropy (HH) and the Statistical Complexity (CC) by recourse to appropriate planar representations like the Fisher Entropy (F×HF×H) and Fisher Complexity (F×CF×C) planes, one obtains a better visualization of the transition than that provided by just one quantifier by itself. In the evaluation of these Information Theory quantifiers, we used the Bandt and Pompe methodology for the obtention of the corresponding probability distribution.

► The classical-quantal frontier problem was studied with Fisher Information measure (FIM). ► FIM correctly distinguishes the three well-known physical zones: quantal, transitional, classic. ► FIM takes intermediate values in the transition sector, where quasiperiodicity coexists with chaos.