Entanglement Entropy — Area Law

System Parameters

Total sites N = 20

State type: Ground state

0=Ground, 1=Critical, 2=Random, 3=GHZ

Bipartition cut ℓ = 10

Coupling J = 1.00

Entropy Measures

S_EE (bipartite)--

S_2 (Renyi-2)--

Mutual info I(A:B)--

Scaling law--

Central charge c--

Area law: S ~ const (gapped states)
Critical/CFT: S ~ (c/3)log(ℓ) + const
Random state: S ~ min(ℓ,N-ℓ) (Page curve)
GHZ: S = 1 bit (flat, maximally entangled)