Entanglement Entropy of Scattering Particles

TL;DR

This paper derives a new formula for the entanglement entropy between outgoing particles in high-energy elastic scattering, connecting it with measurable physical observables like cross sections and impact parameter bounds.

Contribution

It introduces a novel approach to compute entanglement entropy using the S-matrix formalism and partial wave expansion, linking it to experimental scattering data.

Findings

Derived a formula relating entanglement entropy to cross sections and impact parameter bounds.

Provided a method to estimate entanglement entropy from observable scattering data.

Enhanced understanding of quantum entanglement in high-energy particle interactions.

Abstract

We study the entanglement entropy between the two outgoing particles in an elastic scattering process. It is formulated within an S-matrix formalism using the partial wave expansion of two-body states, which plays a significant role in our computation. As a result, we obtain a novel formula that expresses the entanglement entropy in a high energy scattering by the use of physical observables, namely the elastic and total cross sections and a physical bound on the impact parameter range, related to the elastic differential cross-section.