Momentum correlations of scattered particles in quantum field theory: one-loop entanglement generation

Abstract

We compute the entanglement entropy variation between initial (separable or entangled in the momenta) and final states ∆S E in an elastic scattering of a bipartite system composed by two interacting scalar particles. We perform a quantum field theoretical calculation to one loop order and verify that ∆S E changes as we vary the energy of incoming particles and the coupling strength in a non-trivial way.

Variation of entanglement entropy and mutual information in fermion-fermion scattering

“…[21] and Ref. [23] analyzed the entanglement between scalar particles, where the entanglement occurs among momentum degrees of freedom. What is more interesting is the entanglement between the spin degrees of freedom for fermionic particles.…”

Evaluation of entanglement entropy in high energy elastic scattering

“…As mentioned above, the entanglement in scattering process is a fundamental issue. For the sake of completion, we quote some works [6][7][8][9][10] related to this issue, while being of a different focus than ours. Ref.…”

“…Ref. [6] has computed the variation of entanglement entropy in an elastic scattering of two interacting scalar particles at one-loop perturbative level. Ref.…”

Measuring QED cross sections via entanglement

“…[9]. In quantum field theory (QFT), it has been studied, for example: the variation in entanglement entropy in a relativistic scattering involving scalar fields [10] one-loop calculations were done in [11], and the entropy generation of fermions systems in QED processes [12,13], in which the authors studied the mutual information between spin degrees of freedom and properties of the entropy variation under Lorentz transformations. An interesting application related to metabolic PET-imaging (Positron-Emission-Tomograph) is found in Ref.…”