Wigner distribution and Boltzmann-Shannon entropy for a diatomic molecule under polarized electric field interaction

TL;DR

This paper investigates how classical chaos in diatomic molecules under polarized electric fields manifests in quantum mechanics through Wigner distribution and entropy, revealing signatures of chaos in quantum phase space and entropy behavior.

Contribution

It introduces a quantum analysis of classical chaos in diatomic molecules using Wigner distribution and Boltzmann-Shannon entropy, highlighting quantum signatures of chaos.

Findings

Wigner function shows motion out of the center during classical chaos

Boltzmann-Shannon entropy exhibits a jump at chaos onset

Quantum disorder increases with electric field strength

Abstract

We study the classical chaos appearing in a diatomic molecules $BeO$, $CO$ and $CN$ due to the interaction with a circularly polarized electric field, and its signature in Quantum Mechanics through the Wigner distribution function and the Boltzmann-Shannon entropy. We found a motion out of the center of the quantum phase space defined by Wigner function when the classical system becomes chaotic, and we found a jumping behavior of the average Boltzmann-Shannon entropy with respect the electric field strength when the classical system becomes chaotic, indicating a sudden increasing in the disorder (or sudden lost of information) in the quantum system.