Simulating bosonic Chern insulators in one-dimensional optical superlattices

Abstract

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 and nontrivial topologies, respectively.

Topological Gaps in Quasi-Periodic Spin Chains: A Numerical and K-Theoretic Analysis

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Statistically related many-body localization in the one-dimensional anyon Hubbard model

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Mapping Chern numbers in quasi-periodic interacting spin chains

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