Title: Quantum dynamics of thermalizing systems

Abstract: I will describe a method "DMT" for approximating density operators of 1D systems as low bond dimension matrix product operators that, when combined with a standard framework for time evolution (TEBD), makes possible simulation of the dynamics of strongly thermalizing systems to arbitrary times. The method performs well for both near-equilibrium initial states (Gibbs states with spatially varying temperatures) and far-from-equilibrium initial states, including quenches across phase transitions and pure states. I will also discuss ongoing work applying the method to the diffusive-subdiffusive transition in the ergodic phase of the random-field Heisenberg model.