Disordered Bose?Einstein condensates with interaction in one dimension

@article{Seiringer2012DisorderedBC,
  title={Disordered Bose?Einstein condensates with interaction in one dimension},
  author={R. Seiringer and J. Yngvason and V. Zagrebnov},
  journal={Journal of Statistical Mechanics: Theory and Experiment},
  year={2012},
  volume={2012},
  pages={11007}
}
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… Expand
29 Citations
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