English

Anderson localization of elementary excitations in a one dimensional Bose-Einstein condensate

Other Condensed Matter 2015-06-25 v2

Abstract

We study the elementary excitations of a transversely confined Bose-Einstein condensate in presence of a weak axial random potential. We determine the localization length (i) in the hydrodynamical low energy regime, for a domain of linear densities ranging from the Tonks-Girardeau to the transverse Thomas-Fermi regime, in the case of a white noise potential and (ii) for all the range of energies, in the ``one-dimensional mean field regime'', in the case where the randomness is induced by a series of randomly placed point-like impurities. We discuss our results in view of recent experiments in elongated BEC systems.

Keywords

Cite

@article{arxiv.cond-mat/0602622,
  title  = {Anderson localization of elementary excitations in a one dimensional Bose-Einstein condensate},
  author = {Nicolas Bilas and Nicolas Pavloff},
  journal= {arXiv preprint arXiv:cond-mat/0602622},
  year   = {2015}
}

Comments

11 pages, 6 figures. Final printed version