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Phys Rev Lett. 2019 Feb 15;122(6):065303. doi: 10.1103/PhysRevLett.122.065303.

Band Gap Closing in a Synthetic Hall Tube of Neutral Fermions.

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Department of Physics and Astronomy, and Institute of Applied Physics, Seoul National University, Seoul 08826, Korea and Center for Correlated Electron Systems, Institute for Basic Science, Seoul 08826, Korea.


We report the experimental realization of a synthetic three-leg Hall tube with ultracold fermionic atoms in a one-dimensional optical lattice. The legs of the synthetic tube are composed of three hyperfine spin states of the atoms, and the cyclic interleg links are generated by two-photon Raman transitions between the spin states, resulting in a uniform gauge flux ϕ penetrating each side plaquette of the tube. Using quench dynamics, we investigate the band structure of the Hall tube system for a commensurate flux ϕ=2π/3. Momentum-resolved analysis of the quench dynamics reveals a critical point of band gap closing as one of the interleg coupling strengths is varied, which is consistent with a topological phase transition predicted for the Hall tube system.

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