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We present direct local-probe evidence for strongly hybridizednuclear-electronic spin states of an Ising ferromagnet LiHoF$_4$ in atransverse magnetic field. The nuclear-electronic states are addressed via amagnetic resonance in the GHz frequency range using coplanar resonators and avector network analyzer. The magnetic resonance spectrum is successfully tracedover the entire field-temperature phase diagram, which is remarkably wellreproduced by mean-field calculations. Our method can be directly applied to abroad class of materials containing rare-earth ions for probing thesubstantially mixed nature of the nuclear and electronic moments.

Probing strongly hybrid nuclear-electronic states in a model quantum ferromagnet