Recurrences in nonlinear few-body entanglement dynamics

We study quantum tunneling for an initially pure coherent spin state in a many-body spin system. This manifests as dynamics which transforms it into a non-classical (in our case highly entangled) state that later recoheres. We develop a metric to determine the existence of tunneling as well as spectral techniques to predict rates of tunneling for an initial coherent state. We discover that the locations of tunneling reflect phase space structures that come from symmetries of the Hamiltonian. This can be visualized through the Husimi representation of stationary states which allows us to connect to other dynamical variables such as periodicity, entanglement, and chaos.