Floquet Driven Two-Level System

A periodically driven qubit exhibits Floquet quasi-energies and Rabi oscillations. Near resonance (ω ≈ ω₀), the rotating-wave approximation yields the dressed-state picture and Autler-Townes splitting.

Population Dynamics P↑(t)

Bloch Sphere Trajectory

Rabi frequency:

Generalized Rabi: Ω_R = √(δ² + Ω₁²). At resonance (δ=0): full inversion. Off-resonance: incomplete oscillations. Strong drive → counter-rotating terms cause Bloch-Siegert shifts.