title: 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.
authors: Center for Nonlinear Phenomena and Complex Systems-Université Libre de Bruxelles (U.L.B.), Code Postal 231, Campus Plaine, B-1050 Brussels, Belgium.
authors: N
authors: N
authors: Goldman
authors: A
authors: A
authors: Kubasiak
authors: A
authors: A
authors: Bermudez
authors: P
authors: P
authors: Gaspard
authors: M
authors: M
authors: Lewenstein
authors: M A
authors: MA
authors: Martin-Delgado