Exponential localization in one-dimensional quasiperiodic optical lattices

Details Exponential localization in one-dimensional quasiperiodic optical lattices Exponential localization in one-dimensional quasiperiodic optical lattices

2009-01-02

arxiv.org/abs/0901.0210v1

Physics

Condensed Matter

Other Condensed Matter

13 pages, 6 figures

Scientific paper

10.1088/1367-2630/11/3/033023

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)].

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