Reaching Fractional Quantum Hall States with Optical Flux Lattices

Abstract

We present a robust scheme by which fractional quantum Hall states of bosons can be achieved for ultracold atomic gases. We describe a new form of optical flux lattice, suitable for commonly used atomic species with groundstate angular momentum $J_g=1$, for which the lowest energy band is topological and nearly dispersionless. Through exact diagonalization studies, we show that, even for moderate interactions, the many-body groundstates consist of bosonic fractional quantum Hall states, including the Laughlin state and the Moore-Read (Pfaffian) state. Under realistic conditions, these phases are shown to have energy gaps that are larger than temperature scales achievable in ultracold gases.

References in corpus (10)

• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Fractional quantum Hall states at zero magnetic field
• Fractional quantum Hall effect in the absence of Landau levels
• Optical Flux Lattices for Ultracold Atomic Gases
• Composite Fermion Theory for Bosonic Atoms in Optical Lattices
• Adiabatic continuation of Fractional Chern Insulators to Fractional Quantum Hall States
• Emerging Bosons with Three-Body Interactions from Spin-1 Atoms in Optical Lattices
• Adiabatic continuity between Hofstadter and Chern insulator states
• Particle Entanglement Spectra for Quantum Hall states on Lattices
• Designing Topological Bands in Reciprocal Space

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