Stability analysis on dark solitons in quasi-1D Bose–Einstein condensate with three-body interactions

Abstract The stability properties of dark solitons in quasi-one-dimensional Bose–Einstein condensate (BEC) loaded in a Jacobian elliptic sine potential with three-body interactions are investigated theoretically. The solitons are obtained by the Newton-Conjugate Gradient method. A stationary cubic-q...

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Autores principales: Yushan Zhou, Hongjuan Meng, Juan Zhang, Xiaolin Li, Xueping Ren, Xiaohuan Wan, Zhikun Zhou, Jing Wang, Xiaobei Fan, Yuren Shi
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Publicado: Nature Portfolio 2021
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Acceso en línea:https://doaj.org/article/9a44ccc159844b96bffb71417e17b836
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spelling oai:doaj.org-article:9a44ccc159844b96bffb71417e17b8362021-12-02T15:02:40ZStability analysis on dark solitons in quasi-1D Bose–Einstein condensate with three-body interactions10.1038/s41598-021-90814-22045-2322https://doaj.org/article/9a44ccc159844b96bffb71417e17b8362021-05-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-90814-2https://doaj.org/toc/2045-2322Abstract The stability properties of dark solitons in quasi-one-dimensional Bose–Einstein condensate (BEC) loaded in a Jacobian elliptic sine potential with three-body interactions are investigated theoretically. The solitons are obtained by the Newton-Conjugate Gradient method. A stationary cubic-quintic nonlinear Schrödinger equation is derived to describe the profiles of solitons via the multi-scale technique. It is found that the three-body interaction has distinct effect on the stability properties of solitons. Especially, such a nonlinear system supports the so-called dark solitons (kink or bubble), which can be excited not only in the gap, but also in the band. The bubbles are always linearly and dynamically unstable, and they cannot be excited if the three-body interaction is absent. Both stable and unstable kinks, depending on the physical parameters, can be excited in the BEC system.Yushan ZhouHongjuan MengJuan ZhangXiaolin LiXueping RenXiaohuan WanZhikun ZhouJing WangXiaobei FanYuren ShiNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-13 (2021)
institution DOAJ
collection DOAJ
language EN
topic Medicine
R
Science
Q
spellingShingle Medicine
R
Science
Q
Yushan Zhou
Hongjuan Meng
Juan Zhang
Xiaolin Li
Xueping Ren
Xiaohuan Wan
Zhikun Zhou
Jing Wang
Xiaobei Fan
Yuren Shi
Stability analysis on dark solitons in quasi-1D Bose–Einstein condensate with three-body interactions
description Abstract The stability properties of dark solitons in quasi-one-dimensional Bose–Einstein condensate (BEC) loaded in a Jacobian elliptic sine potential with three-body interactions are investigated theoretically. The solitons are obtained by the Newton-Conjugate Gradient method. A stationary cubic-quintic nonlinear Schrödinger equation is derived to describe the profiles of solitons via the multi-scale technique. It is found that the three-body interaction has distinct effect on the stability properties of solitons. Especially, such a nonlinear system supports the so-called dark solitons (kink or bubble), which can be excited not only in the gap, but also in the band. The bubbles are always linearly and dynamically unstable, and they cannot be excited if the three-body interaction is absent. Both stable and unstable kinks, depending on the physical parameters, can be excited in the BEC system.
format article
author Yushan Zhou
Hongjuan Meng
Juan Zhang
Xiaolin Li
Xueping Ren
Xiaohuan Wan
Zhikun Zhou
Jing Wang
Xiaobei Fan
Yuren Shi
author_facet Yushan Zhou
Hongjuan Meng
Juan Zhang
Xiaolin Li
Xueping Ren
Xiaohuan Wan
Zhikun Zhou
Jing Wang
Xiaobei Fan
Yuren Shi
author_sort Yushan Zhou
title Stability analysis on dark solitons in quasi-1D Bose–Einstein condensate with three-body interactions
title_short Stability analysis on dark solitons in quasi-1D Bose–Einstein condensate with three-body interactions
title_full Stability analysis on dark solitons in quasi-1D Bose–Einstein condensate with three-body interactions
title_fullStr Stability analysis on dark solitons in quasi-1D Bose–Einstein condensate with three-body interactions
title_full_unstemmed Stability analysis on dark solitons in quasi-1D Bose–Einstein condensate with three-body interactions
title_sort stability analysis on dark solitons in quasi-1d bose–einstein condensate with three-body interactions
publisher Nature Portfolio
publishDate 2021
url https://doaj.org/article/9a44ccc159844b96bffb71417e17b836
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AT hongjuanmeng stabilityanalysisondarksolitonsinquasi1dboseeinsteincondensatewiththreebodyinteractions
AT juanzhang stabilityanalysisondarksolitonsinquasi1dboseeinsteincondensatewiththreebodyinteractions
AT xiaolinli stabilityanalysisondarksolitonsinquasi1dboseeinsteincondensatewiththreebodyinteractions
AT xuepingren stabilityanalysisondarksolitonsinquasi1dboseeinsteincondensatewiththreebodyinteractions
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AT zhikunzhou stabilityanalysisondarksolitonsinquasi1dboseeinsteincondensatewiththreebodyinteractions
AT jingwang stabilityanalysisondarksolitonsinquasi1dboseeinsteincondensatewiththreebodyinteractions
AT xiaobeifan stabilityanalysisondarksolitonsinquasi1dboseeinsteincondensatewiththreebodyinteractions
AT yurenshi stabilityanalysisondarksolitonsinquasi1dboseeinsteincondensatewiththreebodyinteractions
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