English

Localization of a matter wave packet in a disordered potential

Disordered Systems and Neural Networks 2011-03-08 v2 Other Condensed Matter

Abstract

We theoretically study the Anderson localization of a matter wave packet in a one-dimensional disordered potential. We develop an analytical model which includes the initial phase-space density of the matter wave and the spectral broadening induced by the disorder. Our approach predicts a behavior of the localized density profile significantly more complex than a simple exponential decay. These results are confirmed by large-scale and long-time numerical calculations. They shed new light on recent experiments with ultracold atoms and may impact their analysis.

Keywords

Cite

@article{arxiv.1101.4467,
  title  = {Localization of a matter wave packet in a disordered potential},
  author = {Marie Piraud and Pierre Lugan and Philippe Bouyer and Alain Aspect and Laurent Sanchez-Palencia},
  journal= {arXiv preprint arXiv:1101.4467},
  year   = {2011}
}
R2 v1 2026-06-21T17:15:50.927Z