Transport and entanglement generation in the Bose-Hubbard model

We study entanglement generation via particle transport across a one-dimensional system described by the Bose-Hubbard Hamiltonian. We analyse how the competition between interactions and tunnelling affects transport properties and the creation of entanglement in the occupation number basis. Alternatively, we propose to use spatially delocalized quantum bits, where a quantum bit is defined by the presence of a particle either in a site or in the adjacent one. Our results can serve as guidance for future experiments to characterize entanglement of ultracold gases in one-dimensional optical lattices.