Exponential localization in one-dimensional quasiperiodic optical lattices

Abstract

We investigate the localization properties of a one-dimensional bichromatic optical lattice in the tight binding regime, by discussing how exponentially localized states emerge upon changing the degree of commensurability. We also review the mapping onto the discrete Aubry-Andre' model, and provide evidences on how the momentum distribution gets modified in the crossover from extended to exponentially localized states. This analysis is relevant to the recent experiment on Anderson localization of a noninteracting Bose-Einstein condensate in a quasiperiodic optical lattice [G. Roati et al., Nature 453, 895 (2008)].

13 pages, 6 figures

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• Anderson localization of a non-interacting Bose-Einstein condensate
• Direct observation of Anderson localization of matter-waves in a controlled disorder
• The quasi-periodic Bose-Hubbard model and localization in one-dimensional cold atomic gases
• Interference pattern and visibility of a Mott insulator
• Spin-charge separation in two-component Bose-gases
• Effect of interactions on the localization of a Bose-Einstein condensate in a quasi-periodic lattice
• Delocalization and Heisenberg's uncertainty relation

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