Exponential localization in one-dimensional quasi-periodic optical lattices
By M. Modugno. 2009
181 citations recorded by the source corpus.
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–André model, and provide evidence 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 the Anderson localization of a noninteracting Bose–Einstein condensate in a quasi-periodic optical lattice (Roati et al 2008 Nature 453 895).
Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/25bf4522b41abc9a4f22007300654e1a60942df6
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In Atomic and Molecular Physics, and Optics
In Statistical and Nonlinear Physics
Citations in the corpus
- Delocalization of a disordered bosonic system by repulsive interactions (2009, methodology): “, although there is debate on the exact shape of the phase diagram11,13,14,22. METHODS SUMMARY The Methods section gives information about (1), the Bose-Einstein condensate with tunable interactions, (2), the generation of the quasi-periodic lattice, (3), the energy scales, (4), the analysis methods”
- Observation of many-body localization of interacting fermions in a quasirandom optical lattice (2015, background): “calization transition in the Aubry-Andre model. However, for a real-´ istic finite system, it is sufficient for the actual period of the combined disorder and regular lattices to exceed the system size [52]. Disorder strength The disorder strength in the tight-binding limit depends on the lattice dept”