Entanglement Entropy of Typical Eigenstates of Translationally Invariant Hamiltonians

APS March Meeting 2017, New Orleans

The entanglement entropy of ground states of spinless fermion systems has been extensively studied in recent years. Here, we focus on its properties in the entire spectrum, which have remained largely unexplored. Using recently developed analytical techniques, we study the dependence of the entanglement entropy on the subsystem size for large classes of eigenstates. We also discuss the corresponding statistical ensemble that one uses to find the average eigenstate entanglement entropy.