Scattering of a two-soliton molecule by attractive potential well

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, Baizakov, B. B., Aklana, Nor Amirah Busul, Abdullaev, Fatkhulla
Format:	Conference or Workshop Item
Language:	English
Published:	2015
Subjects:	QA Mathematics QC Physics
Online Access:	http://irep.iium.edu.my/44855/ http://irep.iium.edu.my/44855/ http://irep.iium.edu.my/44855/1/abstract_aaqp2015.pdf

id	iium-44855
recordtype	eprints
spelling	iium-448552017-06-15T01:55:31Z http://irep.iium.edu.my/44855/ Scattering of a two-soliton molecule by attractive potential well Umarov, Bakhram Baizakov, B. B. Aklana, Nor Amirah Busul Abdullaev, Fatkhulla QA Mathematics 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. 2015 Conference or Workshop Item NonPeerReviewed application/pdf en http://irep.iium.edu.my/44855/1/abstract_aaqp2015.pdf 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. http://conf2015.azurewebsites.net/eng/index.html
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English
topic	QA Mathematics QC Physics
spellingShingle	QA Mathematics QC Physics Umarov, Bakhram Baizakov, B. B. Aklana, Nor Amirah Busul Abdullaev, Fatkhulla Scattering of a two-soliton molecule by attractive potential well
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	Conference or Workshop Item
author	Umarov, Bakhram Baizakov, B. B. Aklana, Nor Amirah Busul Abdullaev, Fatkhulla
author_facet	Umarov, Bakhram Baizakov, B. B. Aklana, Nor Amirah Busul Abdullaev, Fatkhulla
author_sort	Umarov, Bakhram
title	Scattering of a two-soliton molecule by attractive potential well
title_short	Scattering of a two-soliton molecule by attractive potential well
title_full	Scattering of a two-soliton molecule by attractive potential well
title_fullStr	Scattering of a two-soliton molecule by attractive potential well
title_full_unstemmed	Scattering of a two-soliton molecule by attractive potential well
title_sort	scattering of a two-soliton molecule by attractive potential well
publishDate	2015
url	http://irep.iium.edu.my/44855/ http://irep.iium.edu.my/44855/ http://irep.iium.edu.my/44855/1/abstract_aaqp2015.pdf
first_indexed	2023-09-18T21:03:47Z
last_indexed	2023-09-18T21:03:47Z
_version_	1777410797400489984

Scattering of a two-soliton molecule by attractive potential well

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