  The emergent integrability of the many-body localized phase is naturally
understood in terms of localized quasiparticles. As a result, the occupations
of the one-particle density matrix in eigenstates show a Fermi-liquid-like
discontinuity. Here we show that in the steady state reached at long times
after a global quench from a perfect density-wave state, this occupation
discontinuity is absent, reminiscent of a Fermi liquid at a finite temperature,
while the full occupation function remains strongly nonthermal. We discuss how
one can understand this as a consequence of the local structure of the
density-wave state and the resulting partial occupation of quasiparticles. This
partial occupation can be controlled by tuning the initial state and can be
described by an effective temperature.
