Manipulation of gray-ring dark solitons in a two-component Bose gas with tunable soft-core interactions

We explore the manipulation of gray-ring dark solitons in a two-component Bose gas with tunable soft-core interactions through numerical simulations of the time-dependent Gross–Pitaevskii equation. Our results demonstrate that the lifetime of gray solitons with periodically modulated soft-core interactions significantly depends on their initial depth. Specifically, shallower initial depths lead to longer lifetimes when exceeding a critical depth threshold. Furthermore, the soliton depth also governs the number and dynamic of vortex pairs resulting from the collapse of the ring dark soliton. These depth-dependent topological transformations open new perspectives for quantum manipulation.