Slow Thermalisation in the Quantum East Model

The kinetically constrained Quantum East Model has been found to exhibit characteristics of many body localization despite translational invariance. In this talk I show that constrained dynamics in quantum spin models can cause slowed or arrested thermalisation without disorder. This occurs when the evolution is dominated by dynamically frozen regions, and induces super-Arrhenius slow dynamics at low temperatures. In this regime the quantum model relaxes slower than its classical analogue, and has a strong susceptibility to disorder with low energy density states localising at weak disorder.