QUANTUM KICKED ROTOR
Kick strength K
5.0
ℏ_eff
0.5
Momentum states
256
Kicks applied
0
⟨p²⟩ quantum
0
⟨p²⟩ classical
0
Localization ξ
—
Reset
Floquet operator:
U = e^{-ip²T/2ℏ} · e^{-iKcos(θ)/ℏ}
Classical: diffusive ⟨p²⟩ ≈ Dt
D ≈ K²/2 (K≫1)
Quantum: dynamical localization
ψ(n) ~ e^{-|n|/ξ} (ξ ∝ D/ℏ²)