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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Main Authors:	Umarov, Bakhram A., Mohd Busul Aklan, Nor Amirah, Baizakov, Bakhtiyor B, Abdullaev, Fatkhulla
Format:	Article
Language:	English English
Published:	Institute of Physics Publishing (UK) 2016
Subjects:	QC Physics
Online Access:	http://irep.iium.edu.my/51307/ http://irep.iium.edu.my/51307/ 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

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recordtype	eprints
spelling	iium-513072020-01-29T06:25:23Z 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
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English English
topic	QC Physics
spellingShingle	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/ http://irep.iium.edu.my/51307/ 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
first_indexed	2023-09-18T21:12:37Z
last_indexed	2023-09-18T21:12:37Z
_version_	1777411353651183616

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

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