  With the aim of studying nonperturbative out-of-equilibrium dynamics of
high-energy particle collisions on quantum simulators, we investigate the
scattering dynamics of lattice quantum electrodynamics in 1+1 dimensions.
Working in the bosonized formulation of the model and in the thermodynamic
limit, we use uniform-matrix-product-state tensor networks to construct
multi-particle wave-packet states, evolve them in time, and detect outgoing
particles post collision. This facilitates the numerical simulation of
scattering experiments in both confined and deconfined regimes of the model at
different energies, giving rise to rich phenomenology, including inelastic
production of quark and meson states, meson disintegration, and dynamical
string formation and breaking. We obtain elastic and inelastic scattering cross
sections, together with time-resolved momentum and position distributions of
the outgoing particles. Furthermore, we propose an analog circuit-QED
implementation of the scattering process that is native to the platform,
requires minimal ingredients and approximations, and enables practical schemes
for particle wave-packet preparation and evolution. This study highlights the
role of classical and quantum simulation in enhancing our understanding of
scattering processes in quantum field theories in real time.
