Scattering of a two-soliton molecule by Gaussian potential barriers and wells
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,...
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my.iium.irep.513072023-12-08T01:29:36Z http://irep.iium.edu.my/51307/ Scattering of a two-soliton molecule by Gaussian potential barriers and wells Umarov, Bakhram A. Mohd Busul Aklan, Nor Amirah Baizakov, Bakhtiyor B Abdullaev, Fatkhulla QC Physics 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. Institute of Physics Publishing (UK) 2016-03 Article PeerReviewed application/pdf en http://irep.iium.edu.my/51307/1/51307_Scattering_of_a_two-soliton_molecule_by.pdf application/pdf en http://irep.iium.edu.my/51307/3/51307_Scattering_of_a_two-soliton_molecule_by_SCOPUS.pdf Umarov, Bakhram A. and Mohd Busul Aklan, Nor Amirah and Baizakov, Bakhtiyor B and Abdullaev, Fatkhulla (2016) Scattering of a two-soliton molecule by Gaussian potential barriers and wells. Journal of Physics: Conference Series, 697. 012023-1. ISSN 1742-6588 E-ISSN 1742-6596 http://iopscience.iop.org/article/10.1088/1742-6596/697/1/012023 |
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QC Physics Umarov, Bakhram A. Mohd Busul Aklan, Nor Amirah Baizakov, Bakhtiyor B Abdullaev, Fatkhulla Scattering of a two-soliton molecule by Gaussian potential barriers and wells |
description |
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. |
format |
Article |
author |
Umarov, Bakhram A. Mohd Busul Aklan, Nor Amirah Baizakov, Bakhtiyor B Abdullaev, Fatkhulla |
author_facet |
Umarov, Bakhram A. Mohd Busul Aklan, Nor Amirah Baizakov, Bakhtiyor B Abdullaev, Fatkhulla |
author_sort |
Umarov, Bakhram A. |
title |
Scattering of a two-soliton molecule by Gaussian potential barriers and wells |
title_short |
Scattering of a two-soliton molecule by Gaussian potential barriers and wells |
title_full |
Scattering of a two-soliton molecule by Gaussian potential barriers and wells |
title_fullStr |
Scattering of a two-soliton molecule by Gaussian potential barriers and wells |
title_full_unstemmed |
Scattering of a two-soliton molecule by Gaussian potential barriers and wells |
title_sort |
scattering of a two-soliton molecule by gaussian potential barriers and wells |
publisher |
Institute of Physics Publishing (UK) |
publishDate |
2016 |
url |
http://irep.iium.edu.my/51307/1/51307_Scattering_of_a_two-soliton_molecule_by.pdf http://irep.iium.edu.my/51307/3/51307_Scattering_of_a_two-soliton_molecule_by_SCOPUS.pdf http://irep.iium.edu.my/51307/ http://iopscience.iop.org/article/10.1088/1742-6596/697/1/012023 |
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1787131867590295552 |
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13.18916 |