Scalability of inverse-engineered SOC protocols to larger interacting systems

Ascertain the scalability of the inverse-engineered shortcuts-to-adiabaticity protocols that control x0(t) and α(t) for spin–orbit-coupled spin-1 Bose–Einstein condensates to larger systems with multiple interacting particles, including how increasing atom number and interaction strength impact protocol performance and fidelity.

Background

The work demonstrates high-fidelity control for spin-1 condensates under designed time dependencies, with numerical checks of stability against mean-field interactions and a transverse Zeeman field. These studies are performed for representative interaction strengths and system sizes.

The authors explicitly flag scalability to larger, more strongly interacting systems as an unresolved issue, calling for further investigation into how performance extends with increased particle number and interactions.