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The crucial limitation of improving the sensitivity of the detection of weakmagnetic fields is the unavoidable measurement noise. In this paper, we proposea scheme to achieve precise sensing robust against additional noise byemploying a dual-frequency bias field modulation within a cavity magnon system.We find that the anti-rotating wave term can amplify the signal of the detectedmagnetic field, but this amplification effect must coexist with the rotatingwave term. In particular, by the bias field modulation, we find the robustnessagainst cavity field thermal noise is substantially enhanced, quantum noise andcavity field thermal noise is greatly reduced, and the external magnetic fieldsignal is amplified, thereby improving the weak magnetic field sensing system'ssensitivity. Compared with the previous scheme, our scheme requires neither anultra- or deep-strong coupling mechanism nor the suppression of the additionalnoise by increasing the electromagnetic cooperativity. Our scheme could providea valuable candidate for weak magnetic field sensing.

Enhancing Weak magnetic field sensing of cavity-magnon system with dual frequency modulation