English

Anderson localization of a Bose-Einstein condensate in a 3D random potential

Disordered Systems and Neural Networks 2008-04-28 v2 Mesoscale and Nanoscale Physics

Abstract

We study the effect of Anderson localization on the expansion of a Bose-Einstein condensate, released from a harmonic trap, in a 3D random potential. We use scaling arguments and the self-consistent theory of localization to show that the long-time behavior of the condensate density is controlled by a single parameter equal to the ratio of the mobility edge and the chemical potential of the condensate. We find that the two critical exponents of the localization transition determine the evolution of the condensate density in time and space.

Keywords

Cite

@article{arxiv.0801.3631,
  title  = {Anderson localization of a Bose-Einstein condensate in a 3D random potential},
  author = {S. E. Skipetrov and A. Minguzzi and B. A. van Tiggelen and B. Shapiro},
  journal= {arXiv preprint arXiv:0801.3631},
  year   = {2008}
}

Comments

4 pages, 2 figures

R2 v1 2026-06-21T10:05:48.197Z