Quantum walks of three interacting bosons on one-dimensional optical lattices

We investigate the quantum walks of a three-boson system on one-dimensional lattice by using the Bose–Hubbard model with two- and three-body interactions. We focus on the propagation of two- and three-particle correlations as well as density distributions for different typical initial states, thereby analyzing the formation of particle pairs and trios for the specific initial states after an evolution time. For the two cases of only considering two-body interaction and including the two- and three-body interactions simultaneously with a fixed strength ratio, we discuss in detail the variations of correlations and density distribution with the interaction strength.