Scattering of a two-soliton molecule by Gaussian potential barriers and wells

Umarov, Bakhram; Aklan, Nor Amirah Busul; Baizakov, B. B.; Abdullaev, F. Kh.

doi:10.1088/1742-6596/697/1/012023

Cited by 3 publications

(2 citation statements)

References 17 publications

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“…Whereas, for large soliton velocity, v=0.4, the molecule can transmit through the potential barrier (see figure 7(b)). The same scenario holds true for two-soliton molecules [52]. Moreover, we see from figures 7(c) and (d) that as the height of the potential increases (i.e.…”

Section: Scattering Of a Three-soliton Molecule By Gaussian Potential...supporting

confidence: 71%

“…The interaction of matter-wave solitons with a potential barrier is crucial for soliton matter-wave interferometry [51]. Recently, the scattering of dipolar and nondipolar two-soliton molecules by Gaussian potential barriers and wells has been studied in [52,53]. We reveal the role of solitons velocity, barrier height and its width in the soliton width and in the intersoliton separation.…”

Section: Introductionmentioning

confidence: 95%

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Equilibrium and scattering properties of a nonlocal three-soliton molecule in Bose–Einstein condensates with competing nonlinearities

Elhadj¹,

Boudjemâa²

2020

Phys. Scr.

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We carry out numerical and variational investigation of equilibrium and scattering properties of a bright three-soliton molecule in Bose–Einstein condensates with competing local and nonlocal nonlinearities in one-dimensional geometry. Our model predicts that the degree of the nonlocality and the soliton phase may strongly affect the binding energy and the soliton width. We show that the interaction of three solitons depends on their separation distance and on their relative phase. The scattering properties of these composite nonlinear structures by Gaussian potential barrier are analyzed variationally and numerically. It is found that stable transmission and reflection where the molecular structure is preserved can occur only for a specific barrier height and soliton velocity.

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Section: Scattering Of a Three-soliton Molecule By Gaussian Potential...supporting

confidence: 71%

Section: Introductionmentioning

confidence: 95%

Equilibrium and scattering properties of a nonlocal three-soliton molecule in Bose–Einstein condensates with competing nonlinearities

Elhadj¹,

Boudjemâa²

2020

Phys. Scr.

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Scattering of Bright Solitons Due to Defects in Binary Bose‐Einstein Condensates with Nonlinear Optical Lattices

Sekh

2024

Annalen der Physik

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Spatially overlapped coupled matter‐wave bright solitons are considered in binary Bose‐Einstein condensates with nonlinear optical lattices(NOLs) and study the properties of scattering patterns due to a localized defect. It is shown that spatially overlapped solitons become separated and exhibit different scattering patterns with the variation of inter‐species interaction. The NOL interplays with the defect and tends to influence the scattering properties. However, the effect of NOL varies with strength of inter‐component interaction. It is found that, if this interaction is weak then the scattering center gets shifted outside the defect. However, for a stronger inter‐component interaction, the scattering takes place from the defect and leads to different scattering patterns.

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Soliton molecules in coupled dipolar Bose–Einstein condensates with spin-orbit coupling

et al. 2023

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Recent research works on ultra cold quantum gases demonstrated that dipolar Bose–Einstein condensates (BECs) exhibit rich spatiotemporal dynamic where both local and nonlocal interactions are considered. We explore theoretically the possibility of controlling the formation and dynamics of soliton molecules in binary dipolar condensates with spin-orbit coupling (SOC). We exploit the variational technique to derive the new equations of motion for the widths and amplitudes, the effective potential and the oscillation frequency of the molecules. Our study confirms the existence of stable localized bound states in an optical potential. We find that the integrity of the molecules is influenced by the physical parameters, notably the local and nonlocal interactions with the SOC. These parameters are carefully chosen by the Vakhitov–Kolokolov (VK) criterion to ensure the stability of the molecules. We present the results of numerical experiments and confirm the analytical predictions. Moreover, we show the soliton–soliton interaction in each molecule when the local interactions are strong.

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Scattering of a two-soliton molecule by Gaussian potential barriers and wells

Cited by 3 publications

References 17 publications

Equilibrium and scattering properties of a nonlocal three-soliton molecule in Bose–Einstein condensates with competing nonlinearities

Equilibrium and scattering properties of a nonlocal three-soliton molecule in Bose–Einstein condensates with competing nonlinearities

Scattering of Bright Solitons Due to Defects in Binary Bose‐Einstein Condensates with Nonlinear Optical Lattices

Soliton molecules in coupled dipolar Bose–Einstein condensates with spin-orbit coupling

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