Soliton Molecules in the Impurity Component of  Self-Trapping Bosonic Impurity

Abdelaali Boudjemaa; Mohammed-Elhadj Khelifa

doi:doi:10.11648/j.wjap.20170201.11

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Soliton Molecules in the Impurity Component of Self-Trapping Bosonic Impurity

Abdelaali Boudjemaa, Mohammed-Elhadj Khelifa

Published in World Journal of Applied Physics (Volume 2, Issue 1)

Received: 31 October 2016 Accepted: 26 December 2016 Published: 19 January 2017

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Abstract

We investigate the dynamics of soliton molecules in the impurity component of a trapped Bose-Einstein condensate-impurity mixture (polaronic soliton molecules) using the time dependent Hartree-Fock-Bogoliubov equations in a quasi one-dimensional geometry. We show that the impurity component which obeys the self-focussing nonlinear Schrödinger equation, supports bright soliton molecules even for repulsive interspecies interactions. The binding energy, the width, the equilibrium state and the evolution of such solitons are deeply analyzed within variational and numerical means. We find that our variational and numerical calculations well coincide with each other.

Published in	World Journal of Applied Physics (Volume 2, Issue 1)
DOI	10.11648/j.wjap.20170201.11
Page(s)	1-6
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Soliton-Molecules, Impurity, BEC, NLSE

References

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APA Style

Abdelaali Boudjemaa, Mohammed-Elhadj Khelifa. (2017). Soliton Molecules in the Impurity Component of Self-Trapping Bosonic Impurity. World Journal of Applied Physics, 2(1), 1-6. https://doi.org/10.11648/j.wjap.20170201.11

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ACS Style

Abdelaali Boudjemaa; Mohammed-Elhadj Khelifa. Soliton Molecules in the Impurity Component of Self-Trapping Bosonic Impurity. World J. Appl. Phys. 2017, 2(1), 1-6. doi: 10.11648/j.wjap.20170201.11

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AMA Style

Abdelaali Boudjemaa, Mohammed-Elhadj Khelifa. Soliton Molecules in the Impurity Component of Self-Trapping Bosonic Impurity. World J Appl Phys. 2017;2(1):1-6. doi: 10.11648/j.wjap.20170201.11

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@article{10.11648/j.wjap.20170201.11,
  author = {Abdelaali Boudjemaa and Mohammed-Elhadj Khelifa},
  title = {Soliton Molecules in the Impurity Component of  Self-Trapping Bosonic Impurity},
  journal = {World Journal of Applied Physics},
  volume = {2},
  number = {1},
  pages = {1-6},
  doi = {10.11648/j.wjap.20170201.11},
  url = {https://doi.org/10.11648/j.wjap.20170201.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.wjap.20170201.11},
  abstract = {We investigate the dynamics of soliton molecules in the impurity component of a trapped Bose-Einstein condensate-impurity mixture (polaronic soliton molecules) using the time dependent Hartree-Fock-Bogoliubov equations in a quasi one-dimensional geometry. We show that the impurity component which obeys the self-focussing nonlinear Schrödinger equation, supports bright soliton molecules even for repulsive interspecies interactions. The binding energy, the width, the equilibrium state and the evolution of such solitons are deeply analyzed within variational and numerical means. We find that our variational and numerical calculations well coincide with each other.},
 year = {2017}
}

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TY  - JOUR
T1  - Soliton Molecules in the Impurity Component of  Self-Trapping Bosonic Impurity
AU  - Abdelaali Boudjemaa
AU  - Mohammed-Elhadj Khelifa
Y1  - 2017/01/19
PY  - 2017
N1  - https://doi.org/10.11648/j.wjap.20170201.11
DO  - 10.11648/j.wjap.20170201.11
T2  - World Journal of Applied Physics
JF  - World Journal of Applied Physics
JO  - World Journal of Applied Physics
SP  - 1
EP  - 6
PB  - Science Publishing Group
SN  - 2637-6008
UR  - https://doi.org/10.11648/j.wjap.20170201.11
AB  - We investigate the dynamics of soliton molecules in the impurity component of a trapped Bose-Einstein condensate-impurity mixture (polaronic soliton molecules) using the time dependent Hartree-Fock-Bogoliubov equations in a quasi one-dimensional geometry. We show that the impurity component which obeys the self-focussing nonlinear Schrödinger equation, supports bright soliton molecules even for repulsive interspecies interactions. The binding energy, the width, the equilibrium state and the evolution of such solitons are deeply analyzed within variational and numerical means. We find that our variational and numerical calculations well coincide with each other.
VL  - 2
IS  - 1
ER  -

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Author Information

Abdelaali Boudjemaa

Department of Physics, Faculty of Exact Sciences and Informatics, Hassiba Benbouali University of Chlef, Ouled Fares, Chlef, Algeria
Mohammed-Elhadj Khelifa

Department of Physics, Faculty of Exact Sciences and Informatics, Hassiba Benbouali University of Chlef, Ouled Fares, Chlef, Algeria

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APA Style

Abdelaali Boudjemaa, Mohammed-Elhadj Khelifa. (2017). Soliton Molecules in the Impurity Component of Self-Trapping Bosonic Impurity. World Journal of Applied Physics, 2(1), 1-6. https://doi.org/10.11648/j.wjap.20170201.11

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ACS Style

Abdelaali Boudjemaa; Mohammed-Elhadj Khelifa. Soliton Molecules in the Impurity Component of Self-Trapping Bosonic Impurity. World J. Appl. Phys. 2017, 2(1), 1-6. doi: 10.11648/j.wjap.20170201.11

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AMA Style

Abdelaali Boudjemaa, Mohammed-Elhadj Khelifa. Soliton Molecules in the Impurity Component of Self-Trapping Bosonic Impurity. World J Appl Phys. 2017;2(1):1-6. doi: 10.11648/j.wjap.20170201.11

Copy | Download

@article{10.11648/j.wjap.20170201.11,
  author = {Abdelaali Boudjemaa and Mohammed-Elhadj Khelifa},
  title = {Soliton Molecules in the Impurity Component of  Self-Trapping Bosonic Impurity},
  journal = {World Journal of Applied Physics},
  volume = {2},
  number = {1},
  pages = {1-6},
  doi = {10.11648/j.wjap.20170201.11},
  url = {https://doi.org/10.11648/j.wjap.20170201.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.wjap.20170201.11},
  abstract = {We investigate the dynamics of soliton molecules in the impurity component of a trapped Bose-Einstein condensate-impurity mixture (polaronic soliton molecules) using the time dependent Hartree-Fock-Bogoliubov equations in a quasi one-dimensional geometry. We show that the impurity component which obeys the self-focussing nonlinear Schrödinger equation, supports bright soliton molecules even for repulsive interspecies interactions. The binding energy, the width, the equilibrium state and the evolution of such solitons are deeply analyzed within variational and numerical means. We find that our variational and numerical calculations well coincide with each other.},
 year = {2017}
}

Copy | Download

TY  - JOUR
T1  - Soliton Molecules in the Impurity Component of  Self-Trapping Bosonic Impurity
AU  - Abdelaali Boudjemaa
AU  - Mohammed-Elhadj Khelifa
Y1  - 2017/01/19
PY  - 2017
N1  - https://doi.org/10.11648/j.wjap.20170201.11
DO  - 10.11648/j.wjap.20170201.11
T2  - World Journal of Applied Physics
JF  - World Journal of Applied Physics
JO  - World Journal of Applied Physics
SP  - 1
EP  - 6
PB  - Science Publishing Group
SN  - 2637-6008
UR  - https://doi.org/10.11648/j.wjap.20170201.11
AB  - We investigate the dynamics of soliton molecules in the impurity component of a trapped Bose-Einstein condensate-impurity mixture (polaronic soliton molecules) using the time dependent Hartree-Fock-Bogoliubov equations in a quasi one-dimensional geometry. We show that the impurity component which obeys the self-focussing nonlinear Schrödinger equation, supports bright soliton molecules even for repulsive interspecies interactions. The binding energy, the width, the equilibrium state and the evolution of such solitons are deeply analyzed within variational and numerical means. We find that our variational and numerical calculations well coincide with each other.
VL  - 2
IS  - 1
ER  -

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