Scattering of a two-soliton molecule by Gaussian potential barriers and wells

Algebra, Analysis and Quantum Probability

Umarov, B.A.^1 ; Aklan, N.A.B.^2 ; Baizakov, B.B.^3 ; Abdullaev, F.Kh.^1

Department of Physics, Kulliyyah of Science, International Islamic University Malaysia, Kuantan

25200, Malaysia^1

Department of Computational and Theoretical Sciences, International Islamic University Malaysia, Kulliyyah of Science, Kuantan

25710, Malaysia^2

Physical-Technical Institute, 2-b, Bodomzor str., Tashkent

100084, Uzbekistan^3

关键词: Bose-Einstein condensates;    External potential;    Gross-Pitaevskii equation;    Potential barriers;    Quantum reflection;    Soliton molecules;    Theoretical modeling;    Variational approximation;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/697/1/012023/pdf
DOI  :  10.1088/1742-6596/697/1/012023

来源: IOP

【 摘 要 】

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 two- soliton 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.