  We use the Quench Action approach to study the non-equilibrium dynamics after
a quantum quench in the Hubbard model in the limit of infinite interaction. We
identify a variety of low-entangled initial states for which we can directly
compute the overlaps with the Hamiltonian's eigenstates. For these initial
states, we analytically find the rapidity distributions of the stationary state
characterising the expectation values of all local observables. Some of the
initial states considered are not reflection symmetric and lead to
non-symmetric rapidity distributions. To study such cases, we have to introduce
a generalised form for the reduced entropy which measures the entropy
restricted to states with non-zero overlap. The initial states considered are
of direct experimental realisability and also represent ideal candidates for
studying non-equilibrium dynamics in the Hubbard model for finite interactions.
