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

Abstract

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.

References in corpus (8)

• Many-Body Physics with Ultracold Gases
• High temperature fractional quantum Hall states
• Fractional quantum Hall states at zero magnetic field
• Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
• Nearly-flat bands with nontrivial topology
• Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields
• Fractional Quantum Hall Effect in Optical Lattices
• Correlation Lengths and Topological Entanglement Entropies of Unitary and Non-Unitary Fractional Quantum Hall Wavefunctions

Cited by in corpus (4)

• Floquet Flux Attachment in Cold Atomic Systems
• Fractional quantum anomalous Hall phase for Raman superarray of Rydberg atoms
• Continuous Transition between Bosonic Fractional Chern Insulator and Superfluid
• Observation of modulation-induced Feshbach resonance