  We study the topological properties of an extended Bose-Hubbard model with
cyclically modulated hopping and on-site potential parameters, which can be
realized with ultracold bosonic atoms in a one-dimensional optical
superlattice. We show that the interacting bosonic chain at half filling and in
the deep Mott insulating regime can simulate bosonic Chern insulators with a
topological phase diagram similar to that of the Haldane model of
noninteracting fermions. Furthermore, we explore the topological properties of
the ground state by calculating the many-body Chern number, the quasiparticle
energy spectrum with gapless edge modes, the topological pumping of the
interacting bosons, and the topological phase transition from normal (trivial)
to topological Mott insulators. We also present the global phase diagram of the
many-body ground state, which contains a superfluid phase and two Mott
insulating phases with trivial (a zero Chern number) and nontrivial topologies
(a nonzero Chern number), respectively.
