Time optimal control for spin I=1

In this letter, we investigate the problem of time-optimal control for a system of quadrupole nucleus with spin I = 1 under nuclear magnetic resonance conditions with unbounded control using Pontryagin's minimum principle. For spin I = 1, we calculate the minimal duration for steering the system from the every given initial pure state to the every final pure state, and derive an explicit analytical formula for the minimum duration. (c) 2022 Elsevier B.V. All rights reserved.

Automated summary

In this letter, we investigate the problem of time-optimal control for a system of quadrupole nucleus with spin I = 1 under nuclear magnetic resonance conditions with unbounded control using Pontryagin's minimum principle. For spin I = 1, we calculate the minimal duration for steering the system from any given initial pure state to any final pure state, and derive an explicit analytical formula for the minimum duration.