  We consider the real-time evolution of a strongly coupled system of lattice
fermions whose dynamics is driven entirely by dissipative Lindblad processes,
with linear or quadratic quantum jump operators. The fermion 2-point functions
obey a closed set of differential equations, which can be solved with linear
algebra methods. The staggered occupation order parameter of the t-V model
decreases exponentially during the dissipative time evolution. The structure
factor associated with the various Fourier modes shows the slowing down of
low-momentum modes, which is due to particle number conservation. The processes
with nearest-neighbor-dependent Lindblad operators have a decay rate that is
proportional to the coordination number of the spatial lattice.
