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Phys. Rev. A 72, 061605 (2005) [4 pages]

Propagation of matter-wave solitons in periodic and random nonlinear potentials

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Fatkhulla Kh. Abdullaev1 and Josselin Garnier2 *
1Dipartimento di Fisica “E.R. Caianiello,” Universitá di Salerno, 84081 Baronissi (SA), Italy
2Laboratoire de Probabilités et Modèles Aléatoires & Laboratoire Jacques-Louis Lions, Université Paris VII, 2 Place Jussieu, 75251 Paris Cedex 5, France

Rapid Communication Received 4 November 2005; published 30 December 2005

We study the motion of bright matter-wave solitons in nonlinear potentials, produced by periodic or random spatial variations of the atomic scattering length. We obtain analytical results for the soliton motion, the radiation of matter wave, and the radiative soliton decay in such configurations of the Bose-Einstein condensate. The stable regimes of propagation are analyzed. The results are in remarkable agreement with the numerical simulations of the Gross-Pitaevskii equation with periodic or random spatial variations of the mean field interactions.


©2005 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevA.72.061605
DOI: 10.1103/PhysRevA.72.061605
PACS: 03.75.Lm, 02.30.Jr, 05.45.Yv, 42.65.Tg

* Corresponding author. Electronic address: garnier@math.jussieu.fr

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