Ideal Optical Flux lattices

Drawing from lessons in quantum geometry, we show how to create very flat (gap/width>100) Chern bands in optical lattices using only two internal states, which deviate from ideal quantum geometry by less than a percent. This is surprising since the artificial gauge field of a bicomponent system must contain nodes and is thus highly non-uniform, precluding Landau Level mimicry.

Nevertheless, our model displays strong evidence for a wide range of bosonic quantum hall states, and may be feasibly implemented using the vector polarizability strongest in heavy atoms. In a concrete proposal for Cesium, the heating rate is orders of magnitude below the achievable many body gap, making this an attractive platform for investigating bosonic quantum Hall physics.