End-to-end entanglement in Bose-Hubbard chains

We study the ground state as well as the dynamics of chains of bosons with local repulsive interactions and nearest-neighbor exchange using numerical techniques based on density-matrix decimation. We explore the development of entanglement between the terminal sites of such chains as mechanisms are invoked to concentrate population in these sites. We find that long-range entanglement in the ground state emerges as a result of transfer taking place throughout the chain in systems with appropriate hopping coefficients. Additionally, we find appropriate perturbations to increase the entanglement between the end sites above their ground-state values.