Floquet Driven Quantum System
Periodically driven two-level system — Rabi oscillations and Floquet quasienergies
Parameters
Drive frequency ω:
1.0
Drive amplitude Ω₀:
0.5
Detuning Δ:
0.0
Dephasing γ:
0.02
Reset state
Toggle RWA
Hamiltonian
:
H(t) = (Δ/2)σz + Ω₀cos(ωt)σx
In the rotating frame (RWA):
H_RWA = (Δ/2)σz + (Ω₀/2)σx
Rabi frequency
: Ω_R = √(Δ² + Ω₀²)/2
Floquet theorem
: For periodic H(t+T)=H(t), solutions are ψ(t)=e^{−iεt}φ(t) where φ is T-periodic and ε are quasienergies (defined mod ω).
Top-left: Bloch sphere. Bottom-left: population P↑(t). Right: quasienergy vs parameters.