Marco Cominotti, Iacopo Carusotto
Inspired by recent developments of artificial gauge fields for atoms and for photons, we study the semiclassical dynamics of a quantum particle in a two-dimensional square lattice, under the effect of crossed electric and magnetic fields. We provide an elementary derivation of how the Berry curvature of the Bloch bands modifies the usual semiclassical equations of motion. We then calculate the real-space trajectories of a wave packet and observe that the contribution of this anomalous Berry term can be as important as the usual group velocity one. The connection with the classical Hall effect is finally clarified.
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http://arxiv.org/abs/1302.3165
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