Influence of magnetic fields on the bias stability of atomic gyroscope operated in spin-exchange relaxation-free regime

For the atomic gyroscope (AG) operated in spin-exchange relaxation-free (SERF) regime, the sensitivity to external magnetic fields has been suppressed while the ability to sense inertial rotations has been kept. Here, a theoretical relationship between the magnetic fields and the AG response is given, and the influence of field fluctuations on the systematic stability is also shown. The spin-exchange rate of the electron spins R_se^en and the relaxation rate of the nuclear spins R_totⁿ aggravate the influence of the field component B_x. Experimental results indicate that the contributions of long-term fluctuations in the fields, approximately 2.4 pT/h for B_x and 0.9 pT/h for B_y, to the bias stability are 2.19 × 10⁻² deg/h and 5.29 × 10⁻⁴ deg/h. This work is not only valuable for understanding the field-suppression effect in SERF AG, but also provides a useful tool for identifying the influence of fields on the systematic stability.