In this work, we develop an electrical circuit system that models the dynamical behavior of a two-level atom according to the semiclassical description of light-matter interaction. We begin by developing the semiclassical light-matter interaction, and map it to a proposed circuit model analog. We develop circuit machinery to modulate a passive inductance and stabilize slowly-varying voltage amplitudes. We verify our system’s functionality and develop a signal-processing methodology for extracting slowly-varying state amplitudes and instantaneous phase angles. Our physically realized circuit is then used to generate “classical” Rabi oscillations. Finally, we demonstrate an analog to Ramsey’s experiment, which measures the frequency splitting of states in a two-level system
