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Physics Letters A

Dynamics of localized waves in quasi-one-dimensional imbalanced binary Bose-Einstein condensates

Kh. Kh. Ismailov, Bakhtiyor B. Baizakov, F. Kh. Abdullaev, Mario Salerno

Published Dec 7, 2023• 1 citation
Publisher
DOI
10.1016/j.physleta.2023.129271

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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 inter-component 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.
Superfluid and dissipative regimes in the dynamics of a two-component quasi-one-dimensional Bose–Einstein condensate (BEC) with unequal atom numbers in the two components have been explored. The system supports localized waves of the symbiotic type owing to the same-species repulsion and cross-species attraction. The minority BEC component moves through the majority component and creates excitations. To quantify the emerging excitations, we introduce a time-dependent function called disturbance. Through numerical simulations of the coupled Gross–Pitaevskii equations with periodic boundary conditions, we have identified a critical velocity of the localized wave, above which a transition from the superfluid to dissipative regime occurs, as evidenced by a sharp increase in the disturbance function. The factors responsible for the discrepancy between the actual critical velocity and the speed of sound, expected from theoretical arguments, have been discussed.
Chapter 5 is devoted to the investigation of scalar between Bose–Einstein condensates with short-range interactions using quasi-one-dimensional Gross–Pitaevskii-type equations in time-independent and transient harmonic trapping potentials. Matter wave interference pattern obtained by virtue of the correlation between transient trap frequency and temporal binary interaction in the collisional dynamics of bright solitons is brought out. In addition, the impact arising by virtue of the reinforcement of three-body interaction with binary interaction is also studied.