Disordered Bose-Einstein condensates with interaction in one dimension

Autor(en)

Robert Seiringer, Jakob Yngvason, Valentin A. Zagrebnov

Abstrakt

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.

Organisation(en)

Mathematische Physik

Externe Organisation(en)

McGill University, Université de Provence Aix-Marseille I

Journal

Journal of Statistical Mechanics: Theory and Experiment

Band

2012

Anzahl der Seiten

23

DOI

https://doi.org/10.1088/1742-5468/2012/11/P11007

Publikationsdatum

2012

Peer-reviewed

Ja

ÖFOS 2012

103019 Mathematische Physik

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/05543ae6-d017-4d61-89de-57114fbcf595