Extension of the STA-based control framework beyond spin-1 SOC BECs

Extend and validate the inverse-engineered shortcuts-to-adiabaticity protocols—based on time-dependent trap trajectories x0(t) and spin–orbit-coupling strength α(t) for fast transport with spin flip and fast splitting—beyond spin–orbit-coupled spin-1 Bose–Einstein condensates to other quantum systems.

Background

The paper presents a control framework for spin–orbit-coupled spin-1 Bose–Einstein condensates that leverages analytic solvability and inverse engineering to design time-dependent SOC strength and trap trajectories. The approach is shown to be effective in simulations and is compared with simpler adiabatic strategies.

The authors explicitly identify the extension of these methods to other quantum systems as an area requiring further investigation, highlighting an open direction for generalizing the control framework beyond the specific spin-1 SOC BEC platform studied here.