Solitons mobility in a dipolar Bose-Einstein condensate in an optical lattice

Solitons mobility in a dipolar Bose-Einstein condensate in an optical lattice

The present work is devoted to the theoretical investigation of the dynamics of Bose –Einstein condensates (BEC) in optical lattice with the long range magnetic dipole-dipole interaction between atoms. The system is described by a nonlocal nonlinear Schrodinger equation (NLSE). We consider the cas...

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Main Authors: Umarov, Bakhram, Benzeghir, Abdelaziz
Format: Conference or Workshop Item
Language:English
Published: 2011
Subjects:
QC Physics
Online Access:http://irep.iium.edu.my/11712/
http://irep.iium.edu.my/11712/
http://irep.iium.edu.my/11712/1/abstract_BEC.pdf
id iium-11712
recordtype eprints
spelling iium-117122012-02-02T13:32:59Z http://irep.iium.edu.my/11712/ Solitons mobility in a dipolar Bose-Einstein condensate in an optical lattice Umarov, Bakhram Benzeghir, Abdelaziz QC Physics The present work is devoted to the theoretical investigation of the dynamics of Bose –Einstein condensates (BEC) in optical lattice with the long range magnetic dipole-dipole interaction between atoms. The system is described by a nonlocal nonlinear Schrodinger equation (NLSE). We consider the case when the lattice depth is sufficiently large (tight binding approximation). In this case nonlocal NLSE can be reduced to discrete NLSE equation. We show that discrete NLSE equation for some range of parameters can be reduced further to integrable Ablowitz-Ladik equation which supports moving solitons. Taking the one-soliton solution of Ablowitz-Ladik equation as an initial condition we have performed detailed numerical study of a soliton dynamics in both nonlocal NLSE and discrete NLSE. The conditions of existence and stability of moving solitons in dipolar BEC in an optical lattice are numerically revealed. Also the applicability limits for the tight binding approximation for the experimentally achievable range of parameters are investigated. 2011 Conference or Workshop Item NonPeerReviewed application/pdf en http://irep.iium.edu.my/11712/1/abstract_BEC.pdf Umarov, Bakhram and Benzeghir, Abdelaziz (2011) Solitons mobility in a dipolar Bose-Einstein condensate in an optical lattice. In: NANO-SciTech 2011, 2-3 March, 2011, Concorde Hotel, Shah Alam, Selangor, Malaysia. (Unpublished) http://ios.uitm.edu.my/nano-scitech2011/
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
Umarov, Bakhram
Benzeghir, Abdelaziz
Solitons mobility in a dipolar Bose-Einstein condensate in an optical lattice
description The present work is devoted to the theoretical investigation of the dynamics of Bose –Einstein condensates (BEC) in optical lattice with the long range magnetic dipole-dipole interaction between atoms. The system is described by a nonlocal nonlinear Schrodinger equation (NLSE). We consider the case when the lattice depth is sufficiently large (tight binding approximation). In this case nonlocal NLSE can be reduced to discrete NLSE equation. We show that discrete NLSE equation for some range of parameters can be reduced further to integrable Ablowitz-Ladik equation which supports moving solitons. Taking the one-soliton solution of Ablowitz-Ladik equation as an initial condition we have performed detailed numerical study of a soliton dynamics in both nonlocal NLSE and discrete NLSE. The conditions of existence and stability of moving solitons in dipolar BEC in an optical lattice are numerically revealed. Also the applicability limits for the tight binding approximation for the experimentally achievable range of parameters are investigated.
format Conference or Workshop Item
author Umarov, Bakhram
Benzeghir, Abdelaziz
author_facet Umarov, Bakhram
Benzeghir, Abdelaziz
author_sort Umarov, Bakhram
title Solitons mobility in a dipolar Bose-Einstein condensate in an optical lattice
title_short Solitons mobility in a dipolar Bose-Einstein condensate in an optical lattice
title_full Solitons mobility in a dipolar Bose-Einstein condensate in an optical lattice
title_fullStr Solitons mobility in a dipolar Bose-Einstein condensate in an optical lattice
title_full_unstemmed Solitons mobility in a dipolar Bose-Einstein condensate in an optical lattice
title_sort solitons mobility in a dipolar bose-einstein condensate in an optical lattice
publishDate 2011
url http://irep.iium.edu.my/11712/
http://irep.iium.edu.my/11712/
http://irep.iium.edu.my/11712/1/abstract_BEC.pdf
first_indexed 2023-09-18T20:21:00Z
last_indexed 2023-09-18T20:21:00Z
_version_ 1777408105975382016

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