  We propose a method to prepare Gaussian wave packets with momentum on top of
the interacting ground state of a fermionic Hamiltonian. Using Givens rotation,
we show how to efficiently obtain expectation values of observables throughout
the evolution of the wave packets on digital quantum computers. We demonstrate
our technique by applying it to the staggered lattice formulation of the
Thirring model and studying the scattering of two wave packets. Monitoring the
the particle density and the entropy produced during the scattering process, we
characterize the phenomenon and provide a first step towards studying more
complicated collision processes on digital quantum computers. In addition, we
perform a small-scale demonstration on IBM's quantum hardware, showing that our
method is suitable for current and near-term quantum devices.
