  We investigate the scattering of a quark jet on a high-energy heavy nucleus
using the time-dependent light-front Hamiltonian approach. We simulate a
real-time evolution of the quark in a strong classical color field of the
relativistic nucleus, described as the Color Glass Condensate. We study the
sub-eikonal effect by letting the quark jet carry realistic finite longitudinal
momenta, and we find sizeable changes on the transverse coordinate distribution
of the quark. We also observe the energy loss of the quark through gluon
emissions in the $\ket{q}+\ket{qg}$ Fock space. This approach provides us with
an opportunity to study scattering processes from non-perturbative aspects.
