Abstract
Abstract We study the influence of the on-site and nearest-neighbor interactions on the eigenstates and dynamics of two-particles restricted to move in a one-dimensional optical lattice. An effective tight-binding approach with non-local interactions is employed in order to consider the non-perfect screening of the coulomb interaction between two-particles. Numerical and analytical results unveil the emergence of a new sub-band of bound states due to the nearest-neighbor interaction, besides a broadening of the usual sub-band associated with the hubbard-like on-site coupling. Furthermore, we solve the time-dependent schrodinger equation to follow the time evolution of an initially localized two-particles state. While the on-site interaction is responsible for a correlated dynamics in which particles occupy predominantly the same site, nearest-neighbor interactions is shown to be able to induce a quantum walk on which the particles remain predominantly in neighboring sites.
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