Transmission of matter-wave solitons through nonlinear traps and barriers

Josselin Garnier and Fatkhulla Kh. Abdullaev

Phys. Rev. A 74, 013604 – Published 12 July 2006

Abstract

The transmissions of matter-wave solitons through linear and nonlinear inhomogeneities induced by the spatial variations of the trap and the scattering length in Bose-Einstein condensates are investigated. The enhanced transmission of a soliton through a linear trap by a modulation of the scattering length, is exhibited. The theory is based on the perturbed inverse scattering transform for solitons, and we show that radiation effects are important. Numerical simulations of the Gross-Pitaevskii equation confirm the theoretical predictions.

Received 8 May 2006

DOI:https://doi.org/10.1103/PhysRevA.74.013604

Authors & Affiliations

Josselin Garnier^1,* and Fatkhulla Kh. Abdullaev²

¹Laboratoire de Probabilités et Modèles Aléatoires and Laboratoire Jacques-Louis Lions, Université Paris VII, 2 Place Jussieu, 75251 Paris Cedex 5, France
²Physical-Technical Institute of the Uzbekistan Academy of Sciences, 700084, Tashkent-84, G.Mavlyanov str., 2-b, Uzbekistan

^*Corresponding author (garnier@math.jussieu.fr)

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Issue

Vol. 74, Iss. 1 — July 2006

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