Stroboscopic microwave spectroscopy of Voigt based optically pumped magnetometers

We present results of stroboscopic microwave spectroscopy of radio-frequency dressed optically pumped magnetometer. Interaction between radio-frequency dressed atoms and a synchronously pulsed microwave field followed by Voigt effect-based optical probing allows us to perform partial state tomography and assess the efficiency of the state preparation process. To theoretically describe the system, we solve the dynamical equation of the density matrix employing Floquet expansion. Our theoretical results are in good agreement with experimental measurements over a wide range of parameters and pumping conditions. Finally, the theoretical and experimental analysis presented in this work can be generalised to other systems involving complex state preparation techniques.