Entanglement Entropy — Page Curve & Area/Volume Laws

Parameters

System size N: 20 Central charge c: 1.00 Disorder α: 0.00 Hawking partner r: 0.80 Phase: —

S(N/2): —
Scaling: —
Mutual info: —

Area law: S ~ const (gapped phases)
Log law: S = (c/3)log(L) (critical 1+1D CFT)
Volume law: S ~ L/2 log2 (random states)
Page curve: S rises then falls during BH evaporation

Quantum Entanglement Entropy

Entanglement Entropy S(L) vs Subsystem Size

Page Curve — Black Hole Evaporation

Parameters

Density Matrix Spectrum (Schmidt values)