The hybrid optical pumping spin exchange relaxation free (HOPSERF) atomic co-magnetometers makes ultrahigh sensitivity measurement of inertia be achievable. The wall relaxation rate has a big effect on the polarization and fundamental sensitivity for the co-magnetometer, but it is often neglected in the experiments. However, there is almost no work about the systematic analysis of the influence factors on the polarization and the fundamental sensitivity of the HOPSERF co-magnetometers. Here, we systematically studied the polarization and the fundamental sensitivity of 39 K-85 Rb-21 Ne and 133 Cs-85 Rb-21 Ne HOPSERF co-magnetometers with low polarization limit and the wall relaxation rate. The 21 Ne number density, the photon number flux, the pump beam spot radius and frequency rate will affect the polarization greatly by affecting the the pumping rate of pump beam. We obtain a general formula on the fundamental sensitivity of the HOPSERF co-magnetometers due to shot-noise and the fundamental sensitivity changes with multiple systemic parameters, where the suitable number density of buffer gas and quench gas make the fundamental sensitivity highest. The fundamental sensitivity 7.5878 × 10 −11 rad/s/Hz 1/2 of 133 Cs-85 Rb-21 Ne co-magnetometer is higher than the ultimate theoretical sensitivity 2 × 10 −10 rad/s/Hz 1/2 of K-21 Ne co-magnetometer.The fundamental sensitivity limit of 133 Cs-85 Rb-21 Ne co-magnetometer is superior to 3.7334×
−12In recent years, ultrahigh sensitive co-magnetometers have become a hotspot in research of inertial navigation, geophysics 1, 2 , gravitational wave detection 3 , downhole orientation sensing 4 and general relativity test 5 . The representative traditional mechanical gyroscope based on electrostatic suspended rotators 5 is still the highest precision gyroscope on Earth. The ring laser gyroscope and the fiber optic gyroscope based on the Sagnac effect are widely used in sea and space navigation 6 . With the rapid development of quantum physics, the spin exchange relaxation free (SERF) atomic spin co-magnetometer 7 uses hyperpolarized nuclear spins to sense rotation.Research on the atomic co-magnetometers contributes to the development of more wide variety of rotation sensing techniques. The simple arrangement and small volume of the co-magnetometer will ensure its wide application in the field of inertial navigation. Atomic co-magnetometers 8, 9 use two or more spin species with different gyromagnetic ratios occupying the same volume to cancel the sensitivity of the co-magnetometers to random changing magnetic field and this leaves them only sensitive to rotation or other fields. K−Rb−N e , L Cs Cs−Rb−N e , L K−Rb K−Rb−N e and L Cs−Rb Cs−Rb−N e decreases slowly with increasing T , duo to the increasing T increases the linewidth of the K-Ne and Cs-Ne pressure broadening, which makeCs Cs−Rb−N e , L K−Rb K−Rb−N e and L Cs−Rb Cs−Rb−N e decrease. However, L Rb K−Rb−N e and L Rb Cs−Rb−N edon't change with the T for L Rb K−Rb−N e and L Rb Cs−Rb−N e have nothing to do with the T . Fig. 1...