Dynamical stability of gap solitons in quasi-1D Bose–Einstein condensate loaded in a Jacobian elliptic sine potential

Tang, Na; Xiao-hui, Yang; Feng, Wenxing; Lin, Shuichao; Li, Xiaolin; Xi, Zhong-Hong; Wang, Deng‐Shan; Shi, Yu-Ren

doi:10.1016/j.physa.2019.121344

Cited by 7 publications

(5 citation statements)

References 39 publications

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“…As we had done in Ref. 46 , we numerically find that virous of bright solitons (for examples, the on-site and off-site gap solitons) still exist when the three-body interaction is taken into account. Here we omitted the profiles of the bright solitons as they have the similar structures as those illustrated in Ref.…”

Section: Solitons and Their Stability Propertiessupporting

confidence: 66%

“…This potential can be regarded as a generalization to the trigonometry function. In experiments, such a potential can be well approximated by using only two laser beams 46 , 47 .…”

Section: Modelmentioning

confidence: 99%

“…Here we omitted the profiles of the bright solitons as they have the similar structures as those illustrated in Ref. 46 . We also noted that the amplitude of the bright solitons decreases when the three-body interaction strength increases.…”

Section: Solitons and Their Stability Propertiesmentioning

confidence: 99%

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

Zhou

Meng

Zhang

et al. 2021

Sci Rep

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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.

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Section: Solitons and Their Stability Propertiessupporting

confidence: 66%

“…This potential can be regarded as a generalization to the trigonometry function. In experiments, such a potential can be well approximated by using only two laser beams 46 , 47 .…”

Section: Modelmentioning

confidence: 99%

See 1 more Smart Citation

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

Zhou

Meng

Zhang

et al. 2021

Sci Rep

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“…It can be observed that as the three-body interaction strength increases, the solitons become more stable, but they still exhibit some degree of instability. The off-site soliton is inherently unstable, but tends to be stable under certain parameter conditions [49].…”

Section: Linear Stability Analysismentioning

confidence: 99%

Gap solitons in quasi-1D Bose–Einstein condensate with three-body interactions under PT symmetry

Ma,

Wang,

et al. 2024

Phys. Scr.

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The existence and stability of gap solitons in a quasi-one-dimensional Bose-Einstein condensate with three-body interactions loaded in a PT-symmetric potential are investigated numerically. Under the mean-field approximation, the dynamical behaviors of the system are described by a cubic-quintic Gross-Pitaevskii equation. Firstly, we obtained the band-gap structures via linearizing the GPE. The PT-symmetric of the system will be broken if the magnitude of the imaginary part of the external potential exceeds a critical value. Secondly, various of gap solitons were found by the Newton-Conjugate-Gradient method. Finally, the stability properties of gap solitons were investigated through the linear stability analysis and the direct long-time nonlinear dynamical evolution. The results indicated that the stability of on-site and off-site solitons was remarkably influenced by three-body interactions. There exists unstable on-site gap solitons when the PT-symmetric potential is taken into account. Additionally, the magnitude of the imaginary part of the potential also affects the profile and stability of the gap solitons. When it increases, the symmetry of the solitons will be broken.

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“…In recent years, experiments to realize SOC-BEC in multicomponent 87 Rb condensates have stimulated a great deal of research on solitons and nonlinear waves [20,21]. A variety of matter-wave solitons exist in SOC-BEC [22], such as bright solitons [23][24][25][26], dark solitons [27,28], stripe solitons [13,29], surface solitons [30], dark-bright complex solitions [31], vortices [32,33], and vortex-antivortex dipoles [34]. Xu et al investigated interstitial solitons in SOC-BEC with a dichromatic optical lattice [22].…”

Section: Introductionmentioning

confidence: 99%

Vector gap solitons of spin-orbit-coupled Bose-Einstein condensate in square optical lattice

Wang,

Tu,

et al. 2024

J. Phys. B: At. Mol. Opt. Phys.

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Vector gap solitons in quasi-two-dimensional Bose-Einstein condensate loaded in a square optical lattice with spin-orbit and Rabi coupling are investigated theoretically. The solitons are obtained by the Newton-Conjugate Gradient method for various physical parameters. The stability properties of gap solitons are theoretically analyzed by direct nonlinear dynamical evolution. It is found that the existence of gap solitons is sensitive to the spin-orbit and Rabi coupling strength. Smaller Rabi coupling strength is beneﬁcial for the excitation of solitons in the semi-inﬁnite gap. Conversely, larger Rabi coupling strength is beneﬁcial for the soliton excitation in the ﬁrst gap. The dynamical stability of these gap solitons depends on the spin-orbit and Rabi coupling strength, and the location of the soliton in the bandgap. These ﬁndings may contribute to understanding the topological excitations in condensed matter systems.

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Dynamical stability of gap solitons in quasi-1D Bose–Einstein condensate loaded in a Jacobian elliptic sine potential

Cited by 7 publications

References 39 publications

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

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

Gap solitons in quasi-1D Bose–Einstein condensate with three-body interactions under PT symmetry

Vector gap solitons of spin-orbit-coupled Bose-Einstein condensate in square optical lattice

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