Reachability Analysis of The Atomic Spin Polarization for Spin-Exchange Relaxation-Free Atomic Magnetometers

This paper is the first work to innovatively analyze and determine the reachability of atomic spin polarization of Spin-Exchange Relaxation-Free Atomic Magnetometers (SERFAMs), whose dynamic behaviors described by the Bloch equations. Then, it is transformed into a cybernetic model to analyze the reachability. The results show that the degree of freedom of state transition of atomic spin polarization is not consistent with the input dimension. Although this is contrary to the physical intuition, it corresponds to the point of cybernetics. The simulation results verify this conclusion. This work is an interesting case of applying cybernetics to the study of physics, which broadens the way of thinking for the performance analysis of atomic spin polarization system.