Tsallis' deformation parameter q quantifies the classical-quantum transition

TL;DR

This paper shows that Tsallis' q-entropy effectively characterizes the quantum-classical transition, with the deformation parameter q revealing key details of the changeover in semiclassical matter-field interactions.

Contribution

It introduces the use of Tsallis' q-entropy as a quantifier for the quantum-classical transition and demonstrates that q itself encodes regime-specific information.

Findings

q-entropy describes the quantum-classical transition effectively

The deformation parameter q characterizes different regimes of the transition

q detects fine details of the changeover process

Abstract

We investigate the classical limit of a type of semiclassical evolution, the pertinent system representing the interaction between matter and a given field. On using as a quantifier of the ensuing dynamics Tsallis q-entropy, we encounter that it not only appropriately describes the quantum-classical transition, but that the associated deformation-parameter q itself characterizes the different regimes involved in the process, detecting the most salient fine details of the changeover.