This thesis explores the role that unconventional symmetries play in the dynamics of many-body systems. We show that the conservation of a charge and its associated dipole moment leads to a fragmentation of the Hilbert and to novel universal hydrodynamic behavior. We then explore the experimental realization of these models and compare to actual experimental results. Finally, we inquire about what spatially-modulated symmetries a system can have, providing a novel approach to constructing some of them.      «

This thesis explores the role that unconventional symmetries play in the dynamics of many-body systems. We show that the conservation of a charge and its associated dipole moment leads to a fragmentation of the Hilbert and to novel universal hydrodynamic behavior. We then explore the experimental realization of these models and compare to actual experimental results. Finally, we inquire about what spatially-modulated symmetries a system can have, providing a novel approach to constructing some...     »