Nonequilibrium properties of the driven-dissipative Ising model

We study numerically the dynamics and steady state properties of a transverse-field Ising model coupled to a dissipative bath. In certain parameter regimes the non-equilibrium quantum system can be mapped to a classical Ising model at an effective temperature determined by the transverse field and the dissipation. We also discuss if, and how, the dynamics can be effectively described by a stochastic spin model.