Dynamical localization of matter-wave solitons in managed barrier potentials

Fatkhulla Kh. Abdullaev and Josselin Garnier

Phys. Rev. A 75, 033603 – Published 8 March 2007

Abstract

The bright matter-wave soliton propagation through a barrier with a rapidly oscillating position is investigated. The averaged-over rapid oscillations Gross-Pitaevskii equation is derived, where the effective potential has the form of a finite well. Dynamical trapping and quantum tunneling of the soliton in the effective finite well are investigated. The analytical predictions for the effective soliton dynamics is confirmed by numerical simulations of the full Gross-Pitaevskii equation.

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Received 29 September 2006

DOI:https://doi.org/10.1103/PhysRevA.75.033603

Authors & Affiliations

Fatkhulla Kh. Abdullaev¹ and Josselin Garnier²

¹Physical-Technical Institute of the Uzbekistan Academy of Sciences, 700084, Tashkent-84, G.Mavlyanov str., 2-b, Uzbekistan and Instituto de Física Teorica, UNESP, Rua Pamplona, 145, São Paulo, Brazil
²Laboratoire de Probabilités et Modèles Aléatoires & Laboratoire Jacques-Louis Lions, Université Paris VII, 2 Place Jussieu, 75251 Paris Cedex 5, France

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Issue

Vol. 75, Iss. 3 — March 2007

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