Ultraslow Dynamics, Fragile Fragmentation, Exotic Entanglement

Explore a lecture on unusual quantum dynamics and entanglement properties in one- and two-dimensional systems. Delve into the concept of ultraslow dynamics, where local operators relax exponentially slowly with system size. Examine fragile fragmentation, a phenomenon where system relaxation requires an exponentially large bath. Discover how geometric group theory contributes to constructing these unique examples. Investigate ground states of two-dimensional generalizations, uncovering exotic entanglement properties such as area laws emerging from long-range correlations and power law violations of area law scaling. Gain insights into the intersection of quantum physics and mathematical concepts in this advanced exploration of many-body quantum systems.