Ansatz from Non-Linear Optics Applied to Trapped Bose-Einstein Condensates

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dc.creatorKeceli, Murat
dc.creatorIlday, F. O.
dc.creatorOktel, M. O.
dc.date2007-03-29
dc.date.accessioned2026-07-07T07:54:46Z
dc.date.available2026-07-07T07:54:46Z
dc.descriptionA simple analytical ansatz, which has been used to describe the intensity profile of the similariton laser (a laser with self-similar propagation of ultrashort pulses), is used as a variational wave function to solve the Gross-Pitaevskii equation for a wide range of interaction parameters. The variational form interpolates between the noninteracting density profile and the strongly interacting Thomas-Fermi profile smoothly. The simple form of the ansatz is modified for both cylindrically symmetric and completely anisotropic harmonic traps. The resulting ground-state density profile and energy are in very good agreement with both the analytical solutions in the limiting cases of interaction and the numerical solutions in the intermediate regime.
dc.description4 pages, 3 figures, published version
dc.identifierhttps://arxiv.org/abs/cond-mat/0703779
dc.identifierhttp://arxiv.org/abs/cond-mat/0703779
dc.identifierPhys. Rev. A 75, 035601 (2007)
dc.identifierdoi:10.1103/PhysRevA.75.035601
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126735
dc.subjectOther Condensed Matter
dc.titleAnsatz from Non-Linear Optics Applied to Trapped Bose-Einstein Condensates
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