OIST Prof. Ugur Abdulla lecture at MIT on April 24, 2024

We analyze optimal control of the external electromagnetic field for the maximization of the quantum triplet born singlet yield of radical pairs in biochemical reactions. The model is a Schrödinger system with spin Hamiltonians given by the sum of Zeeman interaction and hyperfine coupling interaction terms. The Pontryagin Maximum Principle in Hilbert space is proved, establishing the band-bang structure of the optimal controller. A new two-step algorithm for the calculation of the bang-bang optimal control is developed. Numerical simulations are pursued, demonstrating convergence and stability. The results contribute towards understanding the structurefunction relationship of the magnetoreceptor to manipulate and enhance quantum coherences at room temperature, and leveraging biofidelic function to inspire novel quantum devices.

Flyer for Prof Ugur Abdulla talk at MIT on April 24, 2024