Schrödinger evolution of two-dimensional black holes

A bstract This paper systematically treats the evolving quantum state for two-dimensional black holes, with particular focus on CGHS model, but also elucidating features generalizing to higher dimensions. is done in Schrödinger picture(s), exhibit dynamic evolution of at intermediate times. After a review classical solutions, connecting descriptions higher-dimensional it overviews canonical treatment full evolution, including gravitational dynamics. Derived an approximation this, following conversion “perturbation picture”, matter background geometry. Features are described, based choice time slicing put into ADM form. The choices as well coordinates slices result different “pictures” treating evolution. If such description smooth trans-horizon slices, that avoids explicit reference ultra-planckian modes familiar from traditional treatments, and exhibits Hawking excitations emerging “quantum atmosphere” thickness comparable inverse temperature. Detailed study entanglement structure between quanta partner inside hole, corresponding “missing information”. allows direct features, e.g. seen by infalling observers, these excitations, helping address various puzzles them. Explicit state, its extension dimensions, provides further connections information theory starting point corrections can unitarize arising new gravity effects — whether wormholes or something entirely different.