[en] We numerically investigate the one-dimensional transport of Bose-Einstein condensates in the context of guided atom lasers using a mean-field description of the condensate in terms of a spatially discretized Gross-Pitaevskii equation. We specifically consider a waveguide configuration in which spatial inhomogeneities and nonvanishing atom-atom interactions are restricted to a spatially localized scattering region of finite extent. We show how the method of smooth exterior complex scaling can be implemented for this particular onfiguration in order to efficiently absorb the outgoing flux within the waveguide. A numerical comparison with the introduction of a complex absorbing potential as well as with the analytically exact elimination of the dynamics of the free non-interacting motion outside the scattering region, giving rise to transparent boundary conditions, clearly confirms the accuracy and efficiency of the smooth exterior complex scaling method.
Research Center/Unit :
Physique Quantique Statistique
Disciplines :
Physics
Author, co-author :
Dujardin, Julien ; Université de Liège - ULiège > Département de physique > Physique quantique statistique
Saenz, Alejandro; Humboldt-Universitaet zu Berlin > Institut fuer Physik > AG Moderne Optik
Schlagheck, Peter ; Université de Liège - ULiège > Département de physique > Physique quantique statistique
Language :
English
Title :
A study of one-dimensional transport of Bose-Einstein condensates using exterior complex scaling
Publication date :
December 2014
Journal title :
Applied Physics. B, Lasers and Optics
ISSN :
0946-2171
eISSN :
1432-0649
Publisher :
Springer Science & Business Media B.V., New York, United States - New York
Volume :
117
Issue :
3
Pages :
765
Peer reviewed :
Peer Reviewed verified by ORBi
Tags :
CÉCI : Consortium des Équipements de Calcul Intensif
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