Scattering of a two-soliton molecule by Gaussian potentials in dipolar Bose–Einstein condensates

Two bright solitons in a dipolar Bose–Einstein condensate (BEC) 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...

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Main Authors:	Umarov, Bakhram A., Mohd Busul Aklana, Nor Amirah, Baizakov, Bakhtiyor B., Abdullaev, Fatkhulla Kh.
Format:	Article
Language:	English English English
Published:	IOP Publishing 2016
Subjects:	QA Mathematics QC Physics
Online Access:	http://irep.iium.edu.my/51306/ http://irep.iium.edu.my/51306/ http://irep.iium.edu.my/51306/ http://irep.iium.edu.my/51306/1/AS-368268167663616%401464813381147_content_1.pdf http://irep.iium.edu.my/51306/4/51306-Scattering_of_a_two-soliton_molecule_by_Gaussian_potentials_in_dipolar_Bose-Einstein_condensates_SCOPUS.pdf http://irep.iium.edu.my/51306/6/51306-Scattering_of_a_two-soliton_molecule_by_Gaussian_potentials_in_dipolar_Bose-Einstein_condensates_WOS.pdf

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spelling	iium-513062020-01-08T01:38:43Z http://irep.iium.edu.my/51306/ Scattering of a two-soliton molecule by Gaussian potentials in dipolar Bose–Einstein condensates Umarov, Bakhram A. Mohd Busul Aklana, Nor Amirah Baizakov, Bakhtiyor B. Abdullaev, Fatkhulla Kh. QA Mathematics QC Physics Two bright solitons in a dipolar Bose–Einstein condensate (BEC) 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. Collisions of soliton molecules with single solitons are investigated, the latter playing the role of a localized defect. Due to the long-range character of dipolar forces solitons interact with each other even though their waveforms do not appreciably overlap. This is an essentially different feature of dipolar solitons compared to their counterparts in BECs with contact atomic interactions. The result of scattering significantly depends on the potential’s strength and velocity of collision. For weak potentials and/or low velocity the molecule preserves its coherence, meantime the internal modes are excited. Scattering by strong potentials at moderately high velocity ends up with dissociation of the molecule. The theoretical model is based on the variational approximation for the nonlocal Gross–Pitaevskii equation (GPE). Predictions of the mathematical model are compared with numerical simulations of the nonlocal GPE, and good qualitative agreement between them is demonstrated. IOP Publishing 2016-06-28 Article PeerReviewed application/pdf en http://irep.iium.edu.my/51306/1/AS-368268167663616%401464813381147_content_1.pdf application/pdf en http://irep.iium.edu.my/51306/4/51306-Scattering_of_a_two-soliton_molecule_by_Gaussian_potentials_in_dipolar_Bose-Einstein_condensates_SCOPUS.pdf application/pdf en http://irep.iium.edu.my/51306/6/51306-Scattering_of_a_two-soliton_molecule_by_Gaussian_potentials_in_dipolar_Bose-Einstein_condensates_WOS.pdf Umarov, Bakhram A. and Mohd Busul Aklana, Nor Amirah and Baizakov, Bakhtiyor B. and Abdullaev, Fatkhulla Kh. (2016) Scattering of a two-soliton molecule by Gaussian potentials in dipolar Bose–Einstein condensates. Journal of Physics B: Atomic, Molecular and Optical Physics, 49 (12). pp. 125307-1. ISSN 0953-4075 E-ISSN 1361-6455 http://iopscience.iop.org/article/10.1088/0953-4075/49/12/125307 10.1088/0953-4075/49/12/125307
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English English English
topic	QA Mathematics QC Physics
spellingShingle	QA Mathematics QC Physics Umarov, Bakhram A. Mohd Busul Aklana, Nor Amirah Baizakov, Bakhtiyor B. Abdullaev, Fatkhulla Kh. Scattering of a two-soliton molecule by Gaussian potentials in dipolar Bose–Einstein condensates
description	Two bright solitons in a dipolar Bose–Einstein condensate (BEC) 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. Collisions of soliton molecules with single solitons are investigated, the latter playing the role of a localized defect. Due to the long-range character of dipolar forces solitons interact with each other even though their waveforms do not appreciably overlap. This is an essentially different feature of dipolar solitons compared to their counterparts in BECs with contact atomic interactions. The result of scattering significantly depends on the potential’s strength and velocity of collision. For weak potentials and/or low velocity the molecule preserves its coherence, meantime the internal modes are excited. Scattering by strong potentials at moderately high velocity ends up with dissociation of the molecule. The theoretical model is based on the variational approximation for the nonlocal Gross–Pitaevskii equation (GPE). Predictions of the mathematical model are compared with numerical simulations of the nonlocal GPE, and good qualitative agreement between them is demonstrated.
format	Article
author	Umarov, Bakhram A. Mohd Busul Aklana, Nor Amirah Baizakov, Bakhtiyor B. Abdullaev, Fatkhulla Kh.
author_facet	Umarov, Bakhram A. Mohd Busul Aklana, Nor Amirah Baizakov, Bakhtiyor B. Abdullaev, Fatkhulla Kh.
author_sort	Umarov, Bakhram A.
title	Scattering of a two-soliton molecule by Gaussian potentials in dipolar Bose–Einstein condensates
title_short	Scattering of a two-soliton molecule by Gaussian potentials in dipolar Bose–Einstein condensates
title_full	Scattering of a two-soliton molecule by Gaussian potentials in dipolar Bose–Einstein condensates
title_fullStr	Scattering of a two-soliton molecule by Gaussian potentials in dipolar Bose–Einstein condensates
title_full_unstemmed	Scattering of a two-soliton molecule by Gaussian potentials in dipolar Bose–Einstein condensates
title_sort	scattering of a two-soliton molecule by gaussian potentials in dipolar bose–einstein condensates
publisher	IOP Publishing
publishDate	2016
url	http://irep.iium.edu.my/51306/ http://irep.iium.edu.my/51306/ http://irep.iium.edu.my/51306/ http://irep.iium.edu.my/51306/1/AS-368268167663616%401464813381147_content_1.pdf http://irep.iium.edu.my/51306/4/51306-Scattering_of_a_two-soliton_molecule_by_Gaussian_potentials_in_dipolar_Bose-Einstein_condensates_SCOPUS.pdf http://irep.iium.edu.my/51306/6/51306-Scattering_of_a_two-soliton_molecule_by_Gaussian_potentials_in_dipolar_Bose-Einstein_condensates_WOS.pdf
first_indexed	2023-09-18T21:12:37Z
last_indexed	2023-09-18T21:12:37Z
_version_	1777411353484460032

Scattering of a two-soliton molecule by Gaussian potentials in dipolar Bose–Einstein condensates

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