@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}, }