Vibration spectrum of a two-soliton molecule in dipolar Bose–Einstein condensates

We study the vibration of soliton molecules in dipolar Bose–Einstein condensates by variational approach and numerical simulations of the nonlocal Gross–Pitaevskii equation. We employ the periodic variation of the strength of dipolar atomic interactions to excite oscillations of solitons near their...

Full description

Bibliographic Details
Main Authors: Turmanov, B. Kh., Baizakov, Bakhtiyor B, Umarov, Bakhram, Abdullaev, Fatkhulla
Format: Article
Language:English
English
English
Published: Elsevier 2015
Subjects:
Online Access:http://irep.iium.edu.my/43956/
http://irep.iium.edu.my/43956/1/PhysicsLettersA379%282015%291828_1832.pdf
http://irep.iium.edu.my/43956/4/43956_Vibration%20spectrum%20of%20a%20two-soliton%20molecule_Scopus.pdf
http://irep.iium.edu.my/43956/5/43956_Vibration%20spectrum%20of%20a%20two-soliton%20molecule_WOS.pdf
_version_ 1848782528714899456
author Turmanov, B. Kh.
Baizakov, Bakhtiyor B
Umarov, Bakhram
Abdullaev, Fatkhulla
author_facet Turmanov, B. Kh.
Baizakov, Bakhtiyor B
Umarov, Bakhram
Abdullaev, Fatkhulla
author_sort Turmanov, B. Kh.
building IIUM Repository
collection Online Access
description We study the vibration of soliton molecules in dipolar Bose–Einstein condensates by variational approach and numerical simulations of the nonlocal Gross–Pitaevskii equation. We employ the periodic variation of the strength of dipolar atomic interactions to excite oscillations of solitons near their equilibrium positions. When the parametric perturbation is sufficiently strong the molecule breaks up into individual solitons, like the dissociation of ordinary molecules. The waveform of the molecule and resonance frequency, predicted by the developed model, are confirmed by numerical simulations of the governing equation.
first_indexed 2025-11-14T16:06:54Z
format Article
id iium-43956
institution International Islamic University Malaysia
institution_category Local University
language English
English
English
last_indexed 2025-11-14T16:06:54Z
publishDate 2015
publisher Elsevier
recordtype eprints
repository_type Digital Repository
spelling iium-439562017-09-26T10:30:37Z http://irep.iium.edu.my/43956/ Vibration spectrum of a two-soliton molecule in dipolar Bose–Einstein condensates Turmanov, B. Kh. Baizakov, Bakhtiyor B Umarov, Bakhram Abdullaev, Fatkhulla QC Physics We study the vibration of soliton molecules in dipolar Bose–Einstein condensates by variational approach and numerical simulations of the nonlocal Gross–Pitaevskii equation. We employ the periodic variation of the strength of dipolar atomic interactions to excite oscillations of solitons near their equilibrium positions. When the parametric perturbation is sufficiently strong the molecule breaks up into individual solitons, like the dissociation of ordinary molecules. The waveform of the molecule and resonance frequency, predicted by the developed model, are confirmed by numerical simulations of the governing equation. Elsevier 2015-05-12 Article PeerReviewed application/pdf en http://irep.iium.edu.my/43956/1/PhysicsLettersA379%282015%291828_1832.pdf application/pdf en http://irep.iium.edu.my/43956/4/43956_Vibration%20spectrum%20of%20a%20two-soliton%20molecule_Scopus.pdf application/pdf en http://irep.iium.edu.my/43956/5/43956_Vibration%20spectrum%20of%20a%20two-soliton%20molecule_WOS.pdf Turmanov, B. Kh. and Baizakov, Bakhtiyor B and Umarov, Bakhram and Abdullaev, Fatkhulla (2015) Vibration spectrum of a two-soliton molecule in dipolar Bose–Einstein condensates. Physics Letters A, 379. pp. 1828-1832. ISSN 0375-9601 http://www.sciencedirect.com/science/article/pii/S0375960115004363 10.1016/j.physleta.2015.05.020
spellingShingle QC Physics
Turmanov, B. Kh.
Baizakov, Bakhtiyor B
Umarov, Bakhram
Abdullaev, Fatkhulla
Vibration spectrum of a two-soliton molecule in dipolar Bose–Einstein condensates
title Vibration spectrum of a two-soliton molecule in dipolar Bose–Einstein condensates
title_full Vibration spectrum of a two-soliton molecule in dipolar Bose–Einstein condensates
title_fullStr Vibration spectrum of a two-soliton molecule in dipolar Bose–Einstein condensates
title_full_unstemmed Vibration spectrum of a two-soliton molecule in dipolar Bose–Einstein condensates
title_short Vibration spectrum of a two-soliton molecule in dipolar Bose–Einstein condensates
title_sort vibration spectrum of a two-soliton molecule in dipolar bose–einstein condensates
topic QC Physics
url http://irep.iium.edu.my/43956/
http://irep.iium.edu.my/43956/
http://irep.iium.edu.my/43956/
http://irep.iium.edu.my/43956/1/PhysicsLettersA379%282015%291828_1832.pdf
http://irep.iium.edu.my/43956/4/43956_Vibration%20spectrum%20of%20a%20two-soliton%20molecule_Scopus.pdf
http://irep.iium.edu.my/43956/5/43956_Vibration%20spectrum%20of%20a%20two-soliton%20molecule_WOS.pdf