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arXiv · 1110.2287

Anderson localization in optical lattices with speckle disorder

Serpil Sucu·Saban Aktas·S. Erol Okan·Zehra Akdeniz·Patrizia Vignolo
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Abstract

We study the localization properties of non-interacting waves propagating in a speckle-like potential superposed on a one-dimensional lattice. Using a decimation/renormalization procedure, we estimate the localization length for a tight-binding Hamiltonian where site-energies are square-sinc-correlated random variables. By decreasing the width of the correlation function, the disorder patterns approaches a $δ$-correlated disorder, and the localization length becomes almost energy-independent in the strong disorder limit. We show that this regime can be reached for a size of the speckle grains of the order of (lower than) four lattice steps.

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Serpil Sucu, Saban Aktas, S. Erol Okan, Zehra Akdeniz, Patrizia Vignolo. 2011-10-11. Anderson localization in optical lattices with speckle disorder. https://doi.org/10.1103/physreva.84.065602

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