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

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

Fatkhulla Kh. Abdullaev and Josselin Garnier

Phys. Rev. A 72, 061605(R) – Published 30 December 2005

Abstract

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.

Received 4 November 2005

DOI:https://doi.org/10.1103/PhysRevA.72.061605

Authors & Affiliations

Fatkhulla Kh. Abdullaev¹ and Josselin Garnier^2,*

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

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

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Issue

Vol. 72, Iss. 6 — December 2005

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Physical Review A

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