Unidirectional flow of symbiotic solitons and nonlinear modes of the Schrödinger equation with an external potential

Javed, Amaria; Susanto, Hadi; Kusdiantara, R.; Kourakis, I.

doi:10.1140/epjp/s13360-022-03350-x

Cited by 4 publications

(2 citation statements)

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“…At stronger inter-component attraction (g 12 ≃ 1.1) the oscillations become highly anharmonic, that is why we show the GPE results up to g 12 = 1.08. We remark that in the literature the properties of symbiotic localized states are considered mainly for balanced settings, when the two components are self-trapped in free space or stabilized by a periodic potential [4][5][6][7]. The imbalanced case, when the number of atoms in one component is significantly greater than that in the other component, remains less explored.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…The peculiarity of the symbiotic soliton is that its individual components cannot exist separately from each other, therefore its dissociation into individual solitons cannot occur. This fact lies in the core of their enhanced robustness and unusual dynamical behavior during interactions with external potentials [7] and mutual collisions. Although the properties of symbiotic solitons have been reported in many publications, they were mainly focused on balanced settings with all atoms bound in the symbiotic soliton.…”

Section: Introductionmentioning

confidence: 99%

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Dynamics of imbalanced quasi-one-dimensional binary Bose-Einstein condensate in external potentials

K.¹,

Baizakov²,

Abdullaev³

et al. 2023

Preprint

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In the framework of coupled 1D Gross-Pitaevskii equations, we explore the dynamics of a binary Bose-Einstein condensate where the intra-component interaction is repulsive, while the intercomponent one is attractive. The existence regimes of stable self-trapped localized states in the form of symbiotic solitons have been analyzed. Imbalanced mixtures, where the number of atoms in one component exceeds the number of atoms in the other component, are considered in parabolic potential and box-like trap. When all the intra-species and inter-species interactions are repulsive, we numerically find a new type of symbiotic solitons resembling dark-bright solitons. A variational approach has been developed which allows us to find the stationary state of the system and frequency of small amplitude dynamics near the equilibrium. It is shown that the strength of inter-component coupling can be retrieved from the frequency of the localized state's vibrations.

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Section: Numerical Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%