Shortcut to Adiabaticity for Harmonic and Anharmonic Traps using BFGS Algorithm

Transportation for a delicate quantum system at a fast rate is crucial for the development of quantum-enabled devices. However, fast transport is typically incompatible in preserving quantum fidelity. Therefore researchers have come up with shortcuts-to-adiabaticity (STA), which are a specific quantum protocol that can generate a trajectory for the system such that the fidelity can stay high even with high-speed transport. STA in the current stage is only developed for harmonic traps, while STA for anharmonic traps still has their limitations. In this study, we use computation methods to design trajectories for both harmonic and anharmonic traps. Specifically, the BFGS algorithm is implemented in optimizing the trajectory. BFGS is a quasi-Newton method that has been previously used in optimal control problem, such as designing optimal laser fields for controlling molecular-dynamics. We show preliminary results for transport of a quantum system held in a Gaussian trap.