PIs: Mari-Carmen Bañuls, Michael Knap, Frank Pollmann

When quantum many-body systems are brought out of equilibrium, global conserved quantities commonly lead to diffusive transport at late times according to the laws of classical hydrodynamics. However, recently various counter-examples have been identified in which the simple assumption of diffusive hydrodynamic transport fails. In these systems, constraints appear to play an essential role for understanding their unconventional dynamics. Our main goals are to investigate the role of different constraints on the quantum dynamics in condensed matter relevant settings using novel methods and to provide experimentally relevant predictions.