Related Experiment Video
Updated: Nov 21, 2025

Interactive and Visualized Online Experimentation System for Engineering Education and Research
Published on: November 24, 2021
Connection between Inverse Engineering and Optimal Control in Shortcuts to Adiabaticity
Qi Zhang1,2, Xi Chen1,3, David Guéry-Odelin2
1International Center of Quantum Artificial Intelligence for Science and Technology (QuArtist) and Department of Physics, Shanghai University, Shanghai 200444, China.
Abstract:
We consider fast high-fidelity quantum control by using a shortcut to adiabaticity (STA) technique and optimal control theory (OCT). Three specific examples, including expansion of cold atoms from the harmonic trap, atomic transport by moving harmonic trap, and spin dynamics in the presence of dissipation, are explicitly detailed. Using OCT as a qualitative guide, we demonstrate how STA protocols designed from inverse engineering method can approach with very high precision optimal solutions built about physical constraints, by a proper choice of the interpolation function and with a very reduced number of adjustable parameters.
Related Concept Videos
Control Systems
At the heart...
Conservation of Energy in Control Volume
For steady flow systems, the time derivative of the stored energy becomes zero since there is no energy accumulation within the control volume. This simplifies the energy equation to:
Control Systems: Applications
In modern vehicles, control systems manage various functions to enhance performance and safety. The steering wheel and accelerator are primary inputs in a car's control system. The...
Work Done in an Adiabatic Process
Adiabatic Processes for an Ideal Gas
Open and closed-loop control systems
An open-loop control system operates without feedback from the output. It consists of two primary elements: the controller and the controlled process. The controller receives an input signal...

