Oscillating solitons in a three component BEC

Abstract

We investigate the properties of three component BEC systems with spin exchange interactions. We consider different coupling constants from those leading to exact solutions known in the literature. When two solitons collide, an oscillation of the emerging entities is observed. This behavior seems to be generic. A mathematical model is derived for the emerging solitons. It describes the new oscillatory phenomenon extremely well. Surprisingly, the model is exact as a solution to the initial equations. This comes as a bonus.

5 pages, 4 figures

References in corpus (6)

• Coreless vortex formation in a spinor Bose-Einstein condensate
• Exact Analysis of Soliton Dynamics in Spinor Bose-Einstein Condensates
• Multiple domain formation induced by modulation instability in two-component Bose-Einstein condensates
• Dark solitons in F=1 spinor Bose--Einstein condensate
• Matter-Wave Solitons in an F=1 Spinor Bose-Einstein Condensate
• Solitons in a trapped spin-1 atomic condensate

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• Mobile vector soliton in a spin-orbit coupled spin-$1$ condensate
• Exact solitons and manifold mixing dynamics in the spin-orbit-coupled spinor condensates
• Solitons and rogue waves in spinor Bose-Einstein condensates
• Vector solitons in a spin-orbit coupled spin-$2$ Bose-Einstein condensate
• Phase-separation of vector solitons in spin-orbit coupled spin-1 condensates
• Spin-orbit-coupled spinor gap solitons in Bose-Einstein condensates
• Bright-like soliton solution in quasi-one-dimensional BEC in third order on interaction radius
• Symbiotic solitons in a quasi-one- and quasi-two-dimensional spin-1 condensates
• A class of compact entities in three component Bose - Einstein condensates
• Stable multi-peak vector solitons in spin-orbit coupled spin-1 polar condensates
• Stationary solitons in F=1 spin-orbit coupled Bose-Einstein condensates
• Dynamics of a Pair of Overlapping Polar Bright Solitons in Spin-1 Bose-Einstein Condensates
• Continuous wave solutions in spinor Bose-Einstein condensates
• Coherent Impurity Transport in an Attractive Binary Bose-Einstein condensate
• Self-consistent field theory of polarized BEC: dispersion of collective excitation
• Oscillating vector solitary waves in soft laminates
• Non-stationarity and Dissipative Time Crystals: Spectral Properties and Finite-Size Effects
• Solitons and soliton interactions in repulsive spinor Bose-Einstein condensates with non-zero background