2023/05/11 by Eulàlia Nicolau, Nicolau, Eloi, A. M. Marques +7 · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Advanced Chemical Physics Studies #Physics of Superconductivity and Magnetism
paper · pdf · doi:10.48550/arxiv.2305.07008
We study the topological properties of interacting and non-interacting bosons loaded in the orbital angular momentum states l=1 in a lattice of rings with alternating distances. At the single-particle level, the two circulation states within each site lead to two decoupled Su-Schrieffer-Heeger lattices with correlated topological phases. We characterize the topological configuration of these lattices in terms of the alternating distances, as well as their single-particle spectrum and topologically protected edge states. Secondly, we add on-site interactions for the two-boson case, which lead to the appearance of multiple bound states and edge bound states. We investigate the doublon bands in terms of a strong-link model and we analyze the resulting subspaces using perturbation theory in the limit of strong interactions. All analytical results are benchmarked against exact diagonalization simulations.