Anderson localization in optical lattices with speckle disorder
Abstract
We study the localization properties of noninteracting waves propagating in a speckle-like potential superposed on a one-dimensional lattice. Using a combined 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 approach 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 on the order of (lower than) four lattice steps.
- Publication:
-
Physical Review A
- Pub Date:
- December 2011
- DOI:
- 10.1103/PhysRevA.84.065602
- arXiv:
- arXiv:1110.2287
- Bibcode:
- 2011PhRvA..84f5602S
- Keywords:
-
- 03.75.-b;
- 64.60.Cn;
- 42.30.Ms;
- Matter waves;
- Order-disorder transformations;
- statistical mechanics of model systems;
- Speckle and moire patterns;
- Condensed Matter - Disordered Systems and Neural Networks;
- Condensed Matter - Quantum Gases
- E-Print:
- 4 pages, 1 figure