I will describe a Hamiltonian method for solving Quantum Field Theory in the non-perturbative regime, directly in infinite-volume. This numerical method provides access to both low-energy states, as well as to excited states of QFT. After a general introduction describing the framework, I will discuss our various measurements in 1+1d and 2+1d theories containing scalars, fermions, and gauge-theories. Besides real-time correlators, I will also describe our results on eigenstate thermalization and "scar-states" in QFT.