Entanglement entropy of scattering particles

Robi Peschanski (1) , Shigenori Seki (2, 3)

1 IPHT - Institut de Physique Théorique - UMR CNRS 3681
2 Hanyang University
3 OCAMI - Osaka City university Advanced Mathematical Institute [Osaka]

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 describes 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.

Domains: Physics [physics]

Robi Peschanski, Shigenori Seki. Entanglement entropy of scattering particles. Physics Letters B, 2016, 758, pp.89-92. ⟨10.1016/j.physletb.2016.04.063⟩. ⟨cea-01299887v2⟩