We study the dynamics of a comagnetometer based on an alkali-metal—noble-gas hybrid tri-spin system by numerically solving coupled Bloch equations. A thorough analysis of the response dynamics is carried out in the standard experimental regime where the spin system can be mapped to a damped harmonic oscillator. The results show that a linear increasing response of the comagnetometer signal is found when the noble-gas nuclear spin magnetization and the alkali-metal spin lifetime parameters satisfy an overdamping condition. We find that an upper limit for the signal amplitude of the comagnetometer is imposed by the inherent dynamics of the hybrid tri-spin system. The results agree with currently available experimental data and provide useful guiding for future experiments.

• Received 7 June 2021
• Revised 20 August 2021
• Accepted 14 September 2021

DOI:https://doi.org/10.1103/PhysRevA.104.032827