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Wilson Fermions and Axion Electrodynamics in Optical Lattices · Around

2010

Wilson Fermions and Axion Electrodynamics in Optical Lattices

Bermudez, A., Mazza, L., Rizzi, M. et al.

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The formulation of massless relativistic fermions in lattice gauge theories is hampered by the fundamental problem of species doubling, namely, the rise of spurious fermions modifying the underlying physics.

A suitable tailoring of the fermion masses prevents such abundance of species, and leads to the so-called Wilson fermions.
Here we show that ultracold atoms provide us with the first controllable realization of these paradigmatic fermions, thus generating a quantum simulator of fermionic lattice gauge theories.
We describe a novel scheme that exploits laser-assisted tunneling in a cubic optical superlattice to design the Wilson fermion masses.

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