  Directly in the thermodynamic limit, we show how to combine imaginary and
real time evolution of tensor networks to efficiently and accurately find the
nonequilibrium steady states (NESS) of one-dimensional dissipative quantum
lattices governed by the Lindblad master equation. The imaginary time evolution
first bypasses any highly correlated portions of the real-time evolution
trajectory by directly converging to the weakly correlated subspace of the
NESS, after which real time evolution completes the convergence to the NESS
with high accuracy. We demonstrate the power of the method with the dissipative
transverse field quantum Ising chain. We show that a crossover of an order
parameter shown to be smooth in previous finite-size studies remains smooth in
the thermodynamic limit.
