Bosonic fractional quantum Hall conductance in shaken honeycomb optical lattices without flat bands

We propose a scheme to realize bosonic fractional quantum Hall conductance in shaken honeycomb optical lattices. This scheme does not require a very flat band, and the necessary long-range interaction relies on s-wave scattering, which is common in many ultracold-atom experiments. By filling the lattice at 1/4 with identical bosons under Feshbach resonance, two degenerate many-body ground states share one Chern number of 1 and correspond exactly to the fractional quantum Hall conductance of 1/2. Meanwhile, we prove that the fractional quantum Hall state can be prepared by adiabatically turning on the lattice shaking, and the fractional conductance is robust in the shaken lattice. This provides an easy way to initialize and prepare the fractional quantum Hall states in ultracold-atom platforms, and it paves the way to investigate and simulate strongly correlated quantum matters with degenerate quantum gas.

Automated summary

We propose a scheme to achieve bosonic fractional quantum Hall conductance in shaken honeycomb optical lattices. This scheme does not require a very flat band and utilizes common s-wave scattering for the necessary long-range interaction. By filling the lattice at 1/4 density under Feshbach resonance, two degenerate many-body ground states share a Chern number of 1, corresponding exactly to a fractional quantum Hall conductance of 1/2. Additionally, we demonstrate that the fractional quantum Hall state can be prepared by adiabatically turning on the lattice shaking, and the fractional conductance remains robust in the shaken lattice. This provides an easy method to initialize and prepare fractional quantum Hall states in ultracold-atom platforms, paving the way for studying and simulating strongly correlated quantum matters with degenerate quantum gases.