Comment on “Reduction of magnetic-field-induced shift in quantum frequency standards based on coherent population trapping” [J. Appl. Phys. 137, 164402 (2025)]

Abstract

In the work of Tsygankov et al. [Phys. Rev. A 109, 053703 (2024)], it was demonstrated that the phase modulation of the two-photon detuning leads to the multipeak structure of the coherent population trapping resonance. Recently, an article [Vishnyakov et al., J. Appl. Phys. 137, 164402 (2025)] was published where an interplay between side peaks from hyperfine transitions mFg=∓1⇆mFg=∓1 and the central one from the magneto-insensitive one in 87Rb atoms is used to reduce the frequency sensitivity of the resonance to magnetic field’s variations. In this Comment, I address an interpretation given in the work of Vishnyakov et al. [J. Appl. Phys. 137, 164402 (2025)] that the multipeak structure is due to additional sidebands of the optical field’s spectral components, which are provided by modulation. It is demonstrated that in this case, the peaks should have amplitudes that are not observed experimentally and contradict analytical results of Tsygankov et al. [Phys. Rev. A 109, 053703 (2024)].