Parametric excitation of solitons in dipolar Bose Einstein condensates

In this paper, we study the response of a Bose–Einstein condensate with strong dipole–dipole atomic interactions to periodically varying perturbation. The dynamics is governed by the Gross–Pitaevskii equation with additional nonlinear term, corresponding to a nonlocal dipolar interactions. The math...

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Main Authors:	Benseghir, A, Wan Abdullah, Wan Ahmad Tajuddin, Umarov, Bakhram, Baizakov, Bakhtiyor B
Format:	Article
Language:	English
Published:	World Scientific Publishing Company 2013
Subjects:	QC Physics
Online Access:	http://irep.iium.edu.my/32223/ http://irep.iium.edu.my/32223/ http://irep.iium.edu.my/32223/ http://irep.iium.edu.my/32223/1/Modern_Phys_Lett_2013.pdf

id	iium-32223
recordtype	eprints
spelling	iium-322232013-10-04T01:37:35Z http://irep.iium.edu.my/32223/ Parametric excitation of solitons in dipolar Bose Einstein condensates Benseghir, A Wan Abdullah, Wan Ahmad Tajuddin Umarov, Bakhram Baizakov, Bakhtiyor B QC Physics In this paper, we study the response of a Bose–Einstein condensate with strong dipole–dipole atomic interactions to periodically varying perturbation. The dynamics is governed by the Gross–Pitaevskii equation with additional nonlinear term, corresponding to a nonlocal dipolar interactions. The mathematical model, based on the variational approximation, has been developed and applied to parametric excitation of the condensate due to periodically varying coefficient of nonlocal nonlinearity. The model predicts the waveform of solitons in dipolar condensates and describes their small amplitude dynamics quite accurately. Theoretical predictions are verified by numerical simulations of the nonlocal Gross–Pitaevskii equation and good agreement between them is found. The results can lead to better understanding of the properties of ultra-cold quantum gases, such as 52Cr, 164Dy and 168Er, where the long-range dipolar atomic interactions dominate the usual contact interactions. World Scientific Publishing Company 2013-10-10 Article PeerReviewed application/pdf en http://irep.iium.edu.my/32223/1/Modern_Phys_Lett_2013.pdf Benseghir, A and Wan Abdullah, Wan Ahmad Tajuddin and Umarov, Bakhram and Baizakov, Bakhtiyor B (2013) Parametric excitation of solitons in dipolar Bose Einstein condensates. Modern Physics Letters B, 27 (25). 1350184(1)-350184(12). ISSN 1793-6640 (O), 0217-9849 (P) http://www.worldscientific.com/doi/abs/10.1142/S0217984913501844 10.1142/S0217984913501844
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English
topic	QC Physics
spellingShingle	QC Physics Benseghir, A Wan Abdullah, Wan Ahmad Tajuddin Umarov, Bakhram Baizakov, Bakhtiyor B Parametric excitation of solitons in dipolar Bose Einstein condensates
description	In this paper, we study the response of a Bose–Einstein condensate with strong dipole–dipole atomic interactions to periodically varying perturbation. The dynamics is governed by the Gross–Pitaevskii equation with additional nonlinear term, corresponding to a nonlocal dipolar interactions. The mathematical model, based on the variational approximation, has been developed and applied to parametric excitation of the condensate due to periodically varying coefficient of nonlocal nonlinearity. The model predicts the waveform of solitons in dipolar condensates and describes their small amplitude dynamics quite accurately. Theoretical predictions are verified by numerical simulations of the nonlocal Gross–Pitaevskii equation and good agreement between them is found. The results can lead to better understanding of the properties of ultra-cold quantum gases, such as 52Cr, 164Dy and 168Er, where the long-range dipolar atomic interactions dominate the usual contact interactions.
format	Article
author	Benseghir, A Wan Abdullah, Wan Ahmad Tajuddin Umarov, Bakhram Baizakov, Bakhtiyor B
author_facet	Benseghir, A Wan Abdullah, Wan Ahmad Tajuddin Umarov, Bakhram Baizakov, Bakhtiyor B
author_sort	Benseghir, A
title	Parametric excitation of solitons in dipolar Bose Einstein condensates
title_short	Parametric excitation of solitons in dipolar Bose Einstein condensates
title_full	Parametric excitation of solitons in dipolar Bose Einstein condensates
title_fullStr	Parametric excitation of solitons in dipolar Bose Einstein condensates
title_full_unstemmed	Parametric excitation of solitons in dipolar Bose Einstein condensates
title_sort	parametric excitation of solitons in dipolar bose einstein condensates
publisher	World Scientific Publishing Company
publishDate	2013
url	http://irep.iium.edu.my/32223/ http://irep.iium.edu.my/32223/ http://irep.iium.edu.my/32223/ http://irep.iium.edu.my/32223/1/Modern_Phys_Lett_2013.pdf
first_indexed	2023-09-18T20:46:31Z
last_indexed	2023-09-18T20:46:31Z
_version_	1777409710932099072

Parametric excitation of solitons in dipolar Bose Einstein condensates

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