Topological Bose-Mott Insulators in a One-Dimensional Optical Superlattice

In this talk, I will introduce topological Bose-Mott insulators we found in a one-dimensional optical superlattice. We study topological properties of the Bose-Hubbard model with repulsive interactions in a one-dimensional optical superlattice, and find that the Mott insulator states of the single-component (two-component) Bose-Hubbard model under fractional fillings are topological insulators characterized by a nonzero charge (or spin) Chern number with nontrivial edge states. For ultracold atomic experiments, we show that the topological Chern number can be detected through measuring the density profiles of the bosonic atoms in a harmonic trap. Ref.: S.L. Zhu, Z.D. Wang, Y.H. Chan, and L.M. Duan, Phys. Rev. Lett. 110, 075303 (2013).