Directed coherent transport due to Bloch oscillation in two dimensions

Abstract

We point out that in higher dimensions, in contrast to the one dimensional case considered usually, Bloch oscillation driven by a static force can induce transport of the wave packet. The wave packet oscillates constantly, but on a larger time scale it drifts at a constant velocity permanently. As a noteworthy feature, the net transport in the long run is always normal to the external force and thus controlled by it. We verify this prediction numerically and discuss its experimental realization both with cold atoms in optical lattices and with two dimensional photonic lattices.

4 pages, 2 figures

References in corpus (5)

• First Principles Calculation of Anomalous Hall Conductivity in Ferromagnetic bcc Fe
• Long-lived Bloch oscillations with bosonic Sr atoms and application to gravity measurement at micrometer scale
• Observation of photon-assisted tunneling in optical lattices
• Nearest-Neighbor Detection of Atoms in a 1D Optical Lattice by Fluorescence Imaging
• Stable Bloch oscillations of cold atoms with time-dependent interaction

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• Schrodinger cat states prepared by Bloch oscillation in a spin-dependent optical lattice
• Cold Atoms in Driven Optical Lattices
• Topological dynamics of adiabatic cat states