Information Geometric Modeling of Scattering Induced Quantum Entanglement

TL;DR

This paper uses information geometry to analyze how scattering between Gaussian wave packets generates quantum entanglement, linking microscopic interactions to macroscopic quantum phenomena.

Contribution

It introduces an information geometric framework to model entanglement from scattering, relating entanglement strength and duration to scattering parameters.

Findings

Entanglement strength depends on scattering potential and particle energies.

Entanglement duration is related to scattering parameters.

Connection established between entanglement and motion complexity.

Abstract

We present an information geometric analysis of entanglement generated by an s-wave scattering between two Gaussian wave packets. We conjecture that the pre and post-collisional quantum dynamical scenarios related to an elastic head-on collision are macroscopic manifestations emerging from microscopic statistical structures. We then describe them by uncorrelated and correlated Gaussian statistical models, respectively. This allows us to express the entanglement strength in terms of scattering potential and incident particle energies. Furthermore, we show how the entanglement duration can be related to the scattering potential and incident particle energies. Finally, we discuss the connection between entanglement and complexity of motion.