  We characterize the particle transport, particle loss, and nonequilibrium
steady states in a dissipative one-dimensional lattice connected to reservoirs
at both ends. The free-fermion reservoirs are fixed at different chemical
potentials, giving rise to particle transport. The dissipation is due to a
local particle loss acting on the center site. We compute the conserved current
and loss current as functions of voltage in the nonlinear regime using a
Keldysh description. The currents show step-like features which are affected
differently by the local loss: The steps are either smoothened, nearly
unaffected, or even enhanced, depending on the spatial symmetry of the
single-particle eigenstate giving rise to the step. Additionally, we compute
the particle density and momentum distributions in the chain. At a finite
voltage, two Fermi momenta can occur, connected to different wavelengths of
Friedel oscillations on either side of the lossy site. We find that the
wavelengths are determined by the chemical potentials in the reservoirs rather
than the average density in the lattice.
