English

Exponential localization in one-dimensional quasiperiodic optical lattices

Other Condensed Matter 2015-02-26 v1

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)].

Keywords

Cite

@article{arxiv.0901.0210,
  title  = {Exponential localization in one-dimensional quasiperiodic optical lattices},
  author = {Michele Modugno},
  journal= {arXiv preprint arXiv:0901.0210},
  year   = {2015}
}

Comments

13 pages, 6 figures

R2 v1 2026-06-21T11:57:06.060Z