Entanglement generation in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mn>1</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="false">)</mml:mo><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math> QED scattering processes

We study real-time meson-meson scattering processes in ($1+1$)-dimensional QED by means of tensor networks. prepare initial meson wave packets with given momentum and position introducing an approximation based on the free fermions model. Then, we compute dynamics two initially separated colliding mesons, observing a rich phenomenology as interaction strength states are varied weak intermediate coupling regimes. Finally, consider elastic collisions measure some amplitudes well entanglement generated process. Remarkably, identify different regimes for asymptotic between outgoing mesons: it is perturbatively small below threshold coupling, past which its growth function abruptly accelerates.