Dynamics of heat and mass transport in a quantum insulator

The real time evolution of two pieces of quantum insulators, initially at different temperatures, is studied when they are glued together. Specifically, each subsystem is taken as a Bose-Hubbard model in a Mott insulator state. The process of temperature equilibration via heat transfer is simulated in real time using the Minimally Entangled Typical Thermal States algorithm. The analytic theory based on quasiparticles transport is also given.