Weyl points in three-dimensional optical lattices: synthetic magnetic monopoles in momentum space

Abstract

We show that Hamiltonians with Weyl points can be realized for ultracold atoms using laser-assisted tunneling in three-dimensional optical lattices. Weyl points are synthetic magnetic monopoles that exhibit a robust, three-dimensional linear dispersion. They are associated with many interesting topological states of matter, such as Weyl semimetals and chiral Weyl fermions. However, Weyl points have yet to be experimentally observed in any system. We show that this elusive goal is well-within experimental reach with an extension of the techniques recently used to obtain the Harper Hamiltonian.

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References in corpus (7)

• Topological Photonics
• Quantum fluids of light
• Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
• Tunable gauge potential for neutral and spinless particles in driven lattices
• Observation of Dirac Monopoles in a Synthetic Magnetic Field
• Direct imaging of topological edge states in cold-atom systems
• Constructing a Weyl semimetal by stacking one dimensional topological phases

Cited by in corpus (108)

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