Bose-Einstein condensates in 1D optical lattices: nonlinearity and Wannier-Stark spectra

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We present our experimental investigations on the subject of nonlinearity-modified Bloch-oscillations and of nonlinear Landau-Zener tunneling between two energy bands in a rubidium Bose Einstein condensate in an accelerated periodic potential. Nonlinearity introduces an asymmetry in Landau-Zener tunneling. We also present measurements of resonantly enhanced tunneling between the Wannier-Stark energy levels for Bose-Einstein condensates loaded into an optical lattice.
Chapter of "Nonlinearities of Periodic Structures and Metamaterials" (edited by C. Denz, S. Flach, and Yu. Kivshar) to be published by Springer

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