Scattering of a two-soliton molecule by attractive potential well

Umarov, Bakhram and Baizakov, B. B. and Aklana, Nor Amirah Busul and Abdullaev, Fatkhulla (2015) Scattering of a two-soliton molecule by attractive potential well. In: International Conference of Algebra, Analysis and Quantum Probability, 10-12 September, 2015, Tashkent, Uzbekistan.

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Abstract

Two anti-phase bright solitons in a dipolar Bose-Einstein condensate can form stable bound states, known as soliton molecules. In this paper we study the scattering of a twosoliton molecule by external potential, using the simplest and analytically tractable Gaussian potential barriers and wells, in one spatial dimension. Theoretical model is based on the variational approximation for the nonlocal Gross-Pitaevskii equation (GPE). At sufficiently low velocity of the incident molecule we observe quantum reflection from the potential well. Predictions of the mathematical model are compared with numerical simulations of the GPE, and good qualitative agreement between them is demonstrated.

Item Type:	Conference or Workshop Item (Plenary Papers)
Additional Information:	3938/44855
Uncontrolled Keywords:	two-soliton molecule
Subjects:	Q Science > QA Mathematics Q Science > QC Physics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Science > Department of Physics
Depositing User:	Dr Bakhram Umarov
Date Deposited:	02 Oct 2015 14:21
Last Modified:	15 Jun 2017 09:55
URI:	http://irep.iium.edu.my/id/eprint/44855

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