Stable iPEPO Tensor-Network Algorithm for Dynamics of Two-Dimensional Open Quantum Lattice Models

Being able to describe accurately the dynamics and steady-states of driven and/or dissipative but quantum correlated lattice models is fundamental importance in many areas science: from information biology. An efficient numerical simulation large open systems two spatial dimensions a challenge. In this work, we develop tensor network method, based on an infinite Projected Entangled Pair Operator (iPEPO) ansatz, applicable directly thermodynamic limit. We incorporate techniques finding optimal truncations enlarged bonds by optimising objective function appropriate for systems. Comparisons with numerically exact calculations, both steady-state, demonstrate power method. particular, consider transverse Ising driven-dissipative hard core boson non-mean field limits, proving capture substantial entanglement presence dissipation. Our method enables study regimes which are accessible current experiments lie well beyond applicability existing techniques.