Charge Pumping of Interacting Fermion Atoms in the Synthetic Dimension

Abstract

Recently it has been proposed and experimentally demonstrated that a spin-orbit coupled multi-component gas in 1d lattice can be viewed as spinless gas in a synthetic 2d lattice with a magnetic flux. In this letter we consider interaction effect of such a Fermi gas, and propose signatures in charge pumping experiment, which can be easily realized in this setting. Using 1/3 filling of the lowest 2d band as an example, in strongly interacting regime, we show that the charge pumping value gradually approaches a universal fractional value for large spin component and low filling of 1d lattice, indicating a fractional quantum Hall type behavior; while the charge pumping value is zero if the 1d lattice filling is commensurate, indicating a Mott insulator behavior. The charge-density-wave order is also discussed.

5 pages, 6 figures

References in corpus (6)

• Spin-Injection Spectroscopy of a Spin-Orbit Coupled Fermi Gas
• Degenerate Quantum Gases with Spin-Orbit Coupling
• Fractional quantum Hall effect in the absence of Landau levels
• Electric polarization in a Chern insulator
• Realization of Fractional Chern Insulators in the Thin-Torus-Limit with Ultracold Bosons
• Quantum simulation of non-trivial topology

Cited by in corpus (70)

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• Multi-particle Wannier states and Thouless pumping of interacting bosons
• Floquet topological semimetal phases of an extended kicked Harper model
• Semi-synthetic zigzag optical lattice for ultracold bosons
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• Dynamics of interacting fermions under spin-orbit coupling in an optical lattice clock
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• Floquet Semimetal with Floquet-band Holonomy
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• Band Gap Closing in a Synthetic Hall Tube of Neutral Fermions
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• Insensitivity of bulk properties to the twisted boundary condition
• A comprehensive review on developments of synthetic dimensions
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• Intertwined Topological Phases induced by Emergent Symmetry Protection
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• Phases of Attractive Fermi Gases in Synthetic Dimensions
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• Arbitrary synthetic dimensions via multi-boson dynamics on a one-dimensional lattice
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• Topological Phases of Fermionic Ladders with Periodic Magnetic Fields
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• Quantum optics and frontiers of physics: The third quantum revolution
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• Interacting Topological Insulators with Synthetic Dimensions
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• Fractional Topological States in Quantum Spin Chains with Periodical Modulation
• Synthetic-gauge-field-induced resonances and Fulde-Ferrell-Larkin-Ovchinnikov states in a one-dimensional optical lattice
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