Non-Abelian optical lattices: Anomalous quantum Hall effect and Dirac Fermions

Abstract

We study the properties of an ultracold Fermi gas loaded in an optical square lattice and subjected to an external and classical non-Abelian gauge field. We show that this system can be exploited as an optical analogue of relativistic quantum electrodynamics, offering a remarkable route to access the exotic properties of massless Dirac fermions with cold atoms experiments. In particular we show that the underlying Minkowski space-time can also be modified, reaching anisotropic regimes where a remarkable anomalous quantum Hall effect and a squeezed Landau vacuum could be observed.

4 pages, 3 figures + additional references

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Cited by in corpus (147)

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• Floquet Topological States in Shaking Optical Lattices
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• Ultracold Fermions in a Graphene-Type Optical Lattice
• Synthesis and Observation of Non-Abelian Gauge Fields in Real Space
• Dirac Equation For Cold Atoms In Artificial Curved Spacetimes
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• Simulating and Detecting the Quantum Spin Hall Effect in Kagomé Optical Lattice
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• Simulation of non-Abelian lattice gauge fields with a single component gas
• Strongly Interacting Two-Dimensional Dirac Fermions
• Ultracold atoms in U(2) non-Abelian gauge potentials preserving the Landau levels
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• Exploring Supersymmetry: Interchangeability Between Jaynes-Cummings and Anti-Jaynes-Cummings Models
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• Fluctuational susceptibility of ultracold bosons in the vicinity of condensation
• Emergent Kitaev materials in synthetic Fermi-Hubbard bilayers
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• Topological crystals and soliton lattices in a Gross-Neveu model with Hilbert-space fragmentation