Variational analysis of flat-top solitons in boseeinstein condensates

B. B. Baizakov; A. Bouketir; A. Messikh; A. Benseghir; B. A. Pumarov

doi:10.1142/S0217979211101521

Variational analysis of flat-top solitons in boseeinstein condensates

B. B. Baizakov^*, A. Bouketir, A. Messikh, A. Benseghir, B. A. Pumarov

^*Corresponding author for this work

College of Dammam Community

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

Abstract

Static and dynamic properties of matter-wave solitons in dense BoseEinstein condensates, where three-body interactions play a significant role, have been studied by a variational approximation (VA) and numerical simulations. For experimentally relevant parameters, matter-wave solitons may acquire a flat-top shape, which suggests employing a super-Gaussian trial function for VA. Comparison of the soliton profiles, predicted by VA and those found from numerical solution of the governing GrossPitaevskii equation shows good agreement, thereby validating the proposed approach.

Original language	English
Pages (from-to)	2427-2440
Number of pages	14
Journal	International Journal of Modern Physics B
Volume	25
Issue number	18
DOIs	https://doi.org/10.1142/S0217979211101521
State	Published - 20 Jul 2011

Bibliographical note

Funding Information:
B. B. Baizakov thanks Prof. M. Salerno for valuable comments. A. Bouketir is grateful to Physical-Technical Institute of the Uzbek Academy of Sciences for its hospitality. This work is supported by the research grant No. FRGS 0409-108 from the Ministry of Higher Education of Malaysia, and KFUPM research project No. IN090008.

Keywords

BoseEinstein condensate
flat-top soliton
variational approach

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Condensed Matter Physics

Access to Document

10.1142/S0217979211101521

Cite this

@article{cb056241c3ac488bbe3f1e655e304a94,

title = "Variational analysis of flat-top solitons in boseeinstein condensates",

abstract = "Static and dynamic properties of matter-wave solitons in dense BoseEinstein condensates, where three-body interactions play a significant role, have been studied by a variational approximation (VA) and numerical simulations. For experimentally relevant parameters, matter-wave solitons may acquire a flat-top shape, which suggests employing a super-Gaussian trial function for VA. Comparison of the soliton profiles, predicted by VA and those found from numerical solution of the governing GrossPitaevskii equation shows good agreement, thereby validating the proposed approach.",

keywords = "BoseEinstein condensate, flat-top soliton, variational approach",

author = "Baizakov, \{B. B.\} and A. Bouketir and A. Messikh and A. Benseghir and Pumarov, \{B. A.\}",

note = "Funding Information: B. B. Baizakov thanks Prof. M. Salerno for valuable comments. A. Bouketir is grateful to Physical-Technical Institute of the Uzbek Academy of Sciences for its hospitality. This work is supported by the research grant No. FRGS 0409-108 from the Ministry of Higher Education of Malaysia, and KFUPM research project No. IN090008.",

year = "2011",

month = jul,

day = "20",

doi = "10.1142/S0217979211101521",

language = "English",

volume = "25",

pages = "2427--2440",

journal = "International Journal of Modern Physics B",

issn = "0217-9792",

number = "18",

}

TY - JOUR

T1 - Variational analysis of flat-top solitons in boseeinstein condensates

AU - Baizakov, B. B.

AU - Bouketir, A.

AU - Messikh, A.

AU - Benseghir, A.

AU - Pumarov, B. A.

N1 - Funding Information: B. B. Baizakov thanks Prof. M. Salerno for valuable comments. A. Bouketir is grateful to Physical-Technical Institute of the Uzbek Academy of Sciences for its hospitality. This work is supported by the research grant No. FRGS 0409-108 from the Ministry of Higher Education of Malaysia, and KFUPM research project No. IN090008.

PY - 2011/7/20

Y1 - 2011/7/20

N2 - Static and dynamic properties of matter-wave solitons in dense BoseEinstein condensates, where three-body interactions play a significant role, have been studied by a variational approximation (VA) and numerical simulations. For experimentally relevant parameters, matter-wave solitons may acquire a flat-top shape, which suggests employing a super-Gaussian trial function for VA. Comparison of the soliton profiles, predicted by VA and those found from numerical solution of the governing GrossPitaevskii equation shows good agreement, thereby validating the proposed approach.

AB - Static and dynamic properties of matter-wave solitons in dense BoseEinstein condensates, where three-body interactions play a significant role, have been studied by a variational approximation (VA) and numerical simulations. For experimentally relevant parameters, matter-wave solitons may acquire a flat-top shape, which suggests employing a super-Gaussian trial function for VA. Comparison of the soliton profiles, predicted by VA and those found from numerical solution of the governing GrossPitaevskii equation shows good agreement, thereby validating the proposed approach.

KW - BoseEinstein condensate

KW - flat-top soliton

KW - variational approach

UR - https://www.scopus.com/pages/publications/79960350942

U2 - 10.1142/S0217979211101521

DO - 10.1142/S0217979211101521

M3 - Article

AN - SCOPUS:79960350942

SN - 0217-9792

VL - 25

SP - 2427

EP - 2440

JO - International Journal of Modern Physics B

JF - International Journal of Modern Physics B

IS - 18

ER -

Variational analysis of flat-top solitons in boseeinstein condensates

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

Fingerprint

Cite this