Quantum Monte Carlo Results for Rényi Entanglement Entropy in the Bose-Hubbard Model

In this talk we report Rényi Entanglement Entropies in the D-dimenisional Bose-Hubbard Model computed via quantum Monte Carlo simulations. We discuss algorithmic extensions of the T = 0 path integral quantum Monte Carlo framework that make this possible, and allow for the study of Rényi entanglement entropies in bosonic lattice models in general spatial dimensions with favorable polynomial scaling with system size. Some applications of this new technology include probing quantum phase transitions, quantifying the entanglement accessible as a resource for quantum computing, and exploring the scaling of spatial entanglement with subregion size.