Quantum Optimal Control in a Chopped Basis: Applications in Control of Bose-Einstein Condensates

Understand

We discuss quantum optimal control of Bose-Einstein condensates trapped in magnetic microtraps.

• The objective is to transfer a condensate from the ground state to the first-excited state.
• This type of control problem is typically solved using derivative-based methods in a high-dimensional control space such as gradient-ascent pulse engineering (GRAPE) and Krotov's method or derivative-free methods in a reduced control space such as Nelder-Mead with a chopped random basis (CRAB).
• We discuss how these methods can be combined in gradient optimization using parametrization (GROUP) including the finite bandwidth of the control electronics.