We demonstrate a spin-precession method to observe and analyze multilevel coherence between all hyperfine levels in the $X{}^2{\mathrm{\Sigma }}^{+},N=0$ ground state of barium monofluoride (${}^{138}\mathrm{Ba}{}^{19}\mathrm{F}$). The signal is sensitive to the state-preparation Rabi frequency and external electric and magnetic fields applied in searches for a permanent electric dipole moment (EDM). In the obtained interference spectrum, the electric field and Rabi frequency become observable simultaneously with the EDM. This method reduces systematic biases and the number of auxiliary measurements for such precision measurements.

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• Coherent control
• Light-matter interaction
• Optical transient phenomena
• Stark effect
• Symmetries