  We investigate adiabatic and non-adiabatic emission of single particles into
an edge state using an analytically solvable dynamical scattering matrix model
of an on-demand source. We compare adiabatic and non-adiabatic emissions by
considering two geometries: a collider geometry where two emitters are coupled
to two different edge states and a series geometry where two emitters are
coupled to the same edge state. Most effects observed for adiabatic emitters
also occur for non-adiabatic emitters. In particular this applies to effects
arising due to the overlap of wave-packets colliding at a quantum point
contact. Specifically we compare the Pauli peak (the fermionic analog of the
bosonic Hong-Ou-Mandel dip) for the adiabatic and non-adiabatic collider and
find them to be similar. In contrast we find a striking difference between the
two operating conditions in the series geometry in which particles are emitted
into the same edge state. Whereas the squared average charge current can be
nullified for both operating conditions, the heat current can be made to vanish
only with adiabatic emitters.
