---
_id: '2403'
abstract:
- lang: eng
  text: 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:
- first_name: Robert
  full_name: Robert Seiringer
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
- first_name: Jakob
  full_name: Yngvason, Jakob
  last_name: Yngvason
- first_name: Valentin
  full_name: Zagrebnov, Valentin A
  last_name: Zagrebnov
citation:
  ama: Seiringer R, Yngvason J, Zagrebnov V. Disordered Bose-Einstein condensates
    with interaction in one dimension. <i>Journal of Statistical Mechanics Theory
    and Experiment</i>. 2012;2012(11). doi:<a href="https://doi.org/10.1088/1742-5468/2012/11/P11007">10.1088/1742-5468/2012/11/P11007</a>
  apa: Seiringer, R., Yngvason, J., &#38; Zagrebnov, V. (2012). Disordered Bose-Einstein
    condensates with interaction in one dimension. <i>Journal of Statistical Mechanics
    Theory and Experiment</i>. IOP Publishing Ltd. <a href="https://doi.org/10.1088/1742-5468/2012/11/P11007">https://doi.org/10.1088/1742-5468/2012/11/P11007</a>
  chicago: Seiringer, Robert, Jakob Yngvason, and Valentin Zagrebnov. “Disordered
    Bose-Einstein Condensates with Interaction in One Dimension.” <i>Journal of Statistical
    Mechanics Theory and Experiment</i>. IOP Publishing Ltd., 2012. <a href="https://doi.org/10.1088/1742-5468/2012/11/P11007">https://doi.org/10.1088/1742-5468/2012/11/P11007</a>.
  ieee: R. Seiringer, J. Yngvason, and V. Zagrebnov, “Disordered Bose-Einstein condensates
    with interaction in one dimension,” <i>Journal of Statistical Mechanics Theory
    and Experiment</i>, vol. 2012, no. 11. IOP Publishing Ltd., 2012.
  ista: Seiringer R, Yngvason J, Zagrebnov V. 2012. Disordered Bose-Einstein condensates
    with interaction in one dimension. Journal of Statistical Mechanics Theory and
    Experiment. 2012(11).
  mla: Seiringer, Robert, et al. “Disordered Bose-Einstein Condensates with Interaction
    in One Dimension.” <i>Journal of Statistical Mechanics Theory and Experiment</i>,
    vol. 2012, no. 11, IOP Publishing Ltd., 2012, doi:<a href="https://doi.org/10.1088/1742-5468/2012/11/P11007">10.1088/1742-5468/2012/11/P11007</a>.
  short: R. Seiringer, J. Yngvason, V. Zagrebnov, Journal of Statistical Mechanics
    Theory and Experiment 2012 (2012).
date_created: 2018-12-11T11:57:28Z
date_published: 2012-11-01T00:00:00Z
date_updated: 2021-01-12T06:57:16Z
day: '01'
doi: 10.1088/1742-5468/2012/11/P11007
extern: 1
intvolume: '      2012'
issue: '11'
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/1207.7054
month: '11'
oa: 1
publication: Journal of Statistical Mechanics Theory and Experiment
publication_status: published
publisher: IOP Publishing Ltd.
publist_id: '4523'
quality_controlled: 0
status: public
title: Disordered Bose-Einstein condensates with interaction in one dimension
type: journal_article
volume: 2012
year: '2012'
...