Time Evolution of Entanglement Entropy from Black Hole Interiors

摘要: We compute the time-dependent entanglement entropy of a CFT which starts in relatively simple initial states. The states are thermofield double for thermal states, dual to eternal black holes, and particular pure state, hole formed by gravitational collapse. grows linearly time. This linear growth is directly related interior measured along "nice" spatial slices. These nice slices probe spacelike direction interior, at fixed special value In case two-dimensional CFT, we match bulk boundary computations entropy. briefly discuss long time behavior various correlators, computed via classical geodesics or surfaces, point out that their exponential decay comes about similar reasons. also present evolution wavefunction tensor network description.