Disordered Bose-Einstein condensates with interaction in one dimension Robert Seiringer ; https://orcid.org/0000-0002-6781-0521 Yngvason, Jakob Zagrebnov, Valentin A 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. IOP Publishing Ltd. 2012 info:eu-repo/semantics/article doc-type:article text http://purl.org/coar/resource_type/c_2df8fbb1 https://research-explorer.ista.ac.at/record/2403 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> info:eu-repo/semantics/altIdentifier/doi/10.1088/1742-5468/2012/11/P11007 info:eu-repo/semantics/openAccess