Lattice Lindblad simulation.

We perform the real-time lattice simulation of an open quantum system, which is based on the Schwinger-Keldysh path integral representation of the Lindblad formalism. Although the real-time simulation generally suffers from the sign problem, there exist a few exceptional cases. We focus on a sign-problem-free system of a non-relativistic spinless fermion and analyze time evolution under driving and dissipation.