Creating a bosonic fractional quantum Hall state by pairing fermions

Abstract

We numerically study the behavior of spin--$1/2$ fermions on a two-dimensional square lattice subject to a uniform magnetic field, where opposite spins interact via an on-site attractive interaction. Starting from the non-interacting case where each spin population is prepared in a quantum Hall state with unity filling, we follow the evolution of the system as the interaction strength is increased. Above a critical value and for sufficiently low flux density, we observe the emergence of a twofold quasidegeneracy accompanied by the opening of an energy gap to the third level. Analysis of the entanglement spectra shows that the gapped ground state is the bosonic $1/2$ Laughlin state. Our work therefore provides compelling evidence of a topological phase transition from the fermionic quantum Hall state at unity filling to the bosonic Laughlin state at a critical attraction strength.

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Cited by in corpus (13)

• Detecting fractional Chern insulators through circular dichroism
• Fractional Chern insulators of few bosons in a box: Hall plateaus from center-of-mass drifts and density profiles
• Dropping an impurity into a Chern insulator: a polaron view on topological matter
• In-situ Imaging of a Single-Atom Wave Packet in Continuous Space
• Measurable signatures of bosonic fractional Chern insulator states and their fractional excitations in a quantum-gas microscope
• Fractional quantum Hall phases of bosons with tunable interactions: From the Laughlin liquid to a fractional Wigner crystal
• Attractive Haldane bilayers for trapping non-Abelian anyons
• Optimal control for preparing fractional quantum Hall states in optical lattices
• Adiabatic preparation of fractional Chern insulators from an effective thin-torus limit
• Chiral topological states in Bose-Fermi mixtures
• Chern numbers for the two-body Hofstadter-Hubbard butterfly
• Topological phase transition in a two-species fermion system: Effects of a rotating trap potential or a synthetic gauge field
• Crossover from Integer to Fractional Quantum Hall Effect