Rabi Oscillations

A two-level quantum system driven by a resonant radiation field undergoes coherent Rabi oscillations between ground |g⟩ and excited |e⟩ states. The Bloch sphere visualizes the state vector precessing around the driving field axis.

Ω_eff = √(Ω² + Δ²)  |  P_e(t) = (Ω/Ω_eff)² sin²(Ω_eff·t/2)