Realization of Fractional Chern Insulators in the Thin-Torus-Limit with Ultracold Bosons

Abstract

Topological states of interacting many-body systems are at the focus of current research due to the exotic properties of their elementary excitations. In this paper we suggest a realistic experimental setup for the realization of a simple version of such a phase. We show how delta-interacting bosons hopping on the links of a one-dimensional (1D) ladder can be used to simulate the thin-torus-limit of the two-dimensional (2D) Hofstadter-Hubbard model at one-quarter magnetic flux per plaquette. Bosons can be confined to ladders by optical superlattices, and synthetic magnetic fields can be realized by far off-resonant Raman beams. We show that twisted boundary conditions can be implemented, enabling the realization of a fractionally quantized Thouless pump. Using numerical density-matrix-renormalization-group (DMRG) calculations we show that the groundstate of our model is an incompressible symmetry-protected topological charge density wave (CDW) phase at average filling $ρ= 1/8$ per lattice site, related to the 1/2 Laughlin-type state of the corresponding 2D model.