Title: Numerical methods for high-temperature dynamics of strongly-interacting 1D quantum systems
Abstract: Simulating the dynamics of strongly-interacting quantum systems is a core challenge of many-body physics. I will briefly describe recent advances in the classical simulation of high-temperature quantum dynamics in 1+1 dimensions, and give a lightning tour of the successes of these methods. I will then describe the physics underlying the success of these methods: the graph structure and chaos properties of the system's Heisenberg dynamics lead to an analogue of Boltzmann's molecular chaos assumption, which justifies existing methods and leads to a computationally tractable non-Hermitian effective model for the dynamics.