A study of one-dimensional transport of Bose-Einstein condensates using exterior complex scaling

[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 :

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 :

Pages :

765

Peer reviewed :

Peer Reviewed verified by ORBi

Tags :

CÉCI : Consortium des Équipements de Calcul Intensif

Additional URL :

http://link.springer.com/article/10.1007%2Fs00340-014-5804-3

Funders :

CÉCI - Consortium des Équipements de Calcul Intensif [BE]

Available on ORBi :

since 14 October 2013

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