@article{2403,
  abstract     = {We study the effects of random scatterers on the ground state of the one-dimensional Lieb-Liniger model of interacting bosons on the unit interval in the Gross-Pitaevskii regime. We prove that Bose-Einstein condensation survives even a strong random potential with a high density of scatterers. The character of the wavefunction of the condensate, however, depends in an essential way on the interplay between randomness and the strength of the two-body interaction. For low density of scatterers and strong interactions the wavefunction extends over the whole interval. A high density of scatterers and weak interactions, on the other hand, lead to localization of the wavefunction in a fragmented subset of the interval.},
  author       = {Robert Seiringer and Yngvason, Jakob and Zagrebnov, Valentin A},
  journal      = {Journal of Statistical Mechanics Theory and Experiment},
  number       = {11},
  publisher    = {IOP Publishing Ltd.},
  title        = {{Disordered Bose-Einstein condensates with interaction in one dimension}},
  doi          = {10.1088/1742-5468/2012/11/P11007},
  volume       = {2012},
  year         = {2012},
}