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.
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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...
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Translated abstract:
In dieser Arbeit wird die Rolle unkonventioneller Symmetrien für die Dynamik von Vielkörpersystemen untersucht. Es wird gezeigt, dass die Erhaltung des Dipolmoments zu einer Fragmentierung des Hilbertraums und zu einer neuen universellen Hydrodynamik führt. Die experimentelle Umsetzung dieser Modelle wird behandelt und mit experimentellen Ergebnissen verglichen. Schließlich wird ein neuartiger Ansatz zur Konstruktion allgemeinerer, räumlich modulierter Symmetrien vorgestellt.