2018/05/08 by Rafael M. P. Teixeira, Teixeira, Rafael M. P., Wesley B. Cardoso +1
Computer Science · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Nonlinear Dynamics and Pattern Formation #Pattern Formation and Solitons (nlin.PS) #Quantum Gases (cond-mat.quant-gas) #Strong Light-Matter Interactions
paper · pdf · doi:10.48550/arxiv.1805.03340
openalex publication_date 2018/05/08 · openalex created_date 2022/10/04 · openalex updated_date 2026/07/28
In this paper we study the scattering of solitons in a binary Bose-Einstein\nCondensate (BEC) including SO- and Rabi-couplings. To this end, we derive a\nreduced ODE model in view to provide a variational description of the\ncollisional dynamics. Also, we assume negative intra- and inter-component\ninteraction strengths, such that one obtains localized solutions even in\nabsence of external potentials. By performing extensive numerical simulations\nof this model we observe that, for specific conditions, the final propagation\nvelocity of the scattered solitons could be highly sensitive to small changes\nin the initial conditions, being a possible signature of chaos. Additionally,\nthere are infinitely many intervals of regularity emerging from the obtained\nchaotic-like regions and forming a fractal-like structure of\nreflection/transmission windows. Finally, we investigate how the value of the\nspin-orbit coupling strength changes the critical velocities, which are\nminimum/maximum values for the occurrence of solitons bound-states, as well as\nthe fractal-like structure.\n