Quantum Many-Body Scarring — PXP Model
ETH violation · Tower of scar states · Neel state revivals
PXP Model Controls
System size L:
12
Perturbation ε:
0.00
Display mode:
Spectrum
Entanglement
Initial state:
|Z₂⟩ Néel
Random
PXP Hamiltonian:
H = Σᵢ Pᵢ₋₁ σˣᵢ Pᵢ₊₁
where Pᵢ = (1−nᵢ)/2 is projector onto |0⟩ (Rydberg blockade).
Scar states
form a tower with equal spacing ~1.33, leading to perfect revivals of the Néel state at period T≈π/1.33.
ETH
predicts all mid-spectrum states have volume-law entanglement. Scars violate this — they have area-law entanglement embedded in the thermal bulk.
Perturbation destroys perfect revival.