# Controlled Generation of Dark-Bright Soliton Complexes in Two-Component and Spinor Bose-Einstein Condensates

## TL;DR

This paper demonstrates how to control the creation of dark-bright soliton complexes in multi-component Bose-Einstein condensates using matter wave interference, analyzing their formation, stability, and dynamics through numerical simulations.

## Contribution

It introduces a systematic numerical approach to generate and control dark-bright soliton complexes in various BEC systems, including spinor condensates, highlighting their robustness and formation mechanisms.

## Key findings

- Controlled soliton formation depends on initial separation and chemical potential.
- Soliton complexes are robust and persist over long times.
- Spinor systems exhibit beating dark soliton arrays due to spin-mixing.

## Abstract

We report on the controlled creation of multiple soliton complexes of the dark-bright type in one-dimensional two-component, three-component and spinor Bose-Einstein condensates. The formation of these states is based on the so-called matter wave interference of separated condensate fragments. In all three cases a systematic numerical study is carried out upon considering different variations of each systems' parameters both in the absence and in the presence of a harmonic trap. It is found that the judicious selection of the initial separation or the chemical potential of the participating components can be utilized to tailor the number of nucleated states. The latter increases as the former parameters are increased. Similarities and differences of the distinct models considered herein are showcased while the robustness of the emerging states is illustrated via the numerical experiments demonstrating their long time propagation. Importantly, for the spinorial system, we unravel the existence of beating dark soliton arrays that are formed due to the spin-mixing dynamics. These states persist in the presence of a parabolic trap, often relevant for associated experimental realizations.