Two bosonic quantum walkers in one-dimensional optical lattices

Dynamical properties of two bosonic quantum walkers in a one-dimensional\nlattice are studied theoretically. Depending on the initial state,\ninteractions, lattice tilting, and lattice disorder, whole plethora of\ndifferent behaviors are observed. Particularly, it is shown that two bosons\nsystem manifests the many-body localization like behavior in the presence of a\nquenched disorder. The whole analysis is based on a specific decomposition of\nthe temporal density profile into different contributions from singly and\ndoubly occupied sites. In this way, the role of interactions is extracted.\nSince the contributions can be directly measured in experiments with ultra-cold\natoms in optical lattices, the predictions presented may have some importance\nfor upcoming experiment.\n