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

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

2009-03-13

arxiv.org/abs/0903.2464v3

Phys. Rev. Lett. 103, 035301 (2009)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 3 figures + additional references

Scientific paper

10.1103/PhysRevLett.103.035301

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.

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