Speaker
Description
Lattice Hamiltonians with gauge symmetry are characterized by a local symmetry transformation per lattice site and may even exhibit further higher-form symmetries. There are then an exponentially large number of dynamically disconnected symmetry sectors, most of which are not translation-invariant. This results in localized dynamics even without the presence of disorder. An exponential number of dynamically disconnected sectors can also occur in systems that have no such symmetries, and this unexplained phenomenon is known as fragmentation. In this talk, I will discuss the parallels between the dynamics of systems with gauge symmetry and those that are fragmented. Additionally, I will discuss an emergent gauge symmetry, which is valid in a subset of sectors of the $S=1$ dipole-conserving spin chain, in an attempt to explain this model's fragmentation.
| Parallel Session (for talks only) | Quantum computing and quantum information |
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