KICKED ROTOR
Kick strength K:
2.0
ℏ_eff:
0.25
Classical particles:
500
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Standard Map (classical):
pₙ₊₁ = pₙ + K sin θₙ
θₙ₊₁ = θₙ + pₙ₊₁
Quantum (Floquet):
|ψ⟩ → e^{iK cos θ/ℏ}·e^{-ip²/2ℏ}|ψ⟩
K<1: mostly integrable
K≈0.97: last KAM tori
K>4: full chaos
Quantum: ⟨p²⟩ saturates
(Anderson localization!)
Loc. length ξ ≈ K²/2ℏ²
CLASSICAL: Phase space (θ, p)
QUANTUM: |ψ(p)|² vs p (localized!) vs Classical ⟨p²⟩