Description
Classical systems can be used to emulate quantum mechanical behavior, allowing for intuition-building explorations into these phenomena. A system of coupled LC oscillators with periodically driven inductors is shown to be analogous to a two-level atom coupled to an applied electromagnetic field. This model was devised by mapping the equations of motion to Bloch equations, under the Rotating Wave and Slowly Varying Envelope approximations. This circuit is shown to exhibit traditionally quantum-mechanical behavior such Rabi oscillations. Evidence for a controllable phase between normal modes is shown in simulation. Multiple decays times, analogous to NMR relaxation times, are created by the introduction of a coupling resistor. Considerations for experimental implementation include the effects of weak damping, weak coupling, and the implementation of initial conditions.
