Pumps, kinks, and scars On many-body quantum dynamics

In this thesis we study many-body quantum dynamics in multiple different models leading to novel and interesting results. The first half focuses on supersymmetric lattice models. First a supersymmetric model will be modified such that it acts as a strongly interacting many-body topological quantum pump in which coupled pairs and single particles are pumped in opposite directions, quantized by a (many-body) Chern number. Then, a quantum simulation experiment with a Rydberg atom chain will be proposed to measure the dynamics of kinks between two ground states in the supersymmetric M1 model. In the second half of the thesis the topic will shift to quantum scars. Here, a Rydberg atom chain experiment will be proposed that has single-particle-like quantum scars in the graph that represents the Fock space of the many-body Hamiltonian. Finally, we report on the discovery and analysis of quantum many-body scars in a transverse field quantum Ising ladder.