  Moving mirrors have been known as tractable setups modeling Hawking radiation
from black holes. In this paper, motivated by recent developments regarding the
black hole information problem, we present extensive studies of moving mirrors
in conformal field theories by employing both field theoretic as well as
holographic methods. Reviewing first the usual field theoretic formulation of
moving mirrors, we construct their gravity dual by resorting to the AdS/BCFT
construction. Based on our holographic formulation, we then calculate the time
evolution of entanglement entropy in various moving mirror models. In doing so,
we mainly focus on three different setups: escaping mirror, which models
constant Hawking radiation emanating from an eternal black hole; kink mirror,
which models an evaporating black hole formed from collapse; and the double
escaping mirror, which models two constantly radiating eternal black holes. In
particular, by computing the holographic entanglement entropy, we show that the
kink mirror gives rise to an ideal Page curve. We also find that an interesting
phase transition arises in the case of the double escaping mirror. Furthermore,
we argue and provide evidence for an interpretation of moving mirrors in terms
of two dimensional Liouville gravity. We also discuss the connection between
quantum energy conditions and the time evolution of holographic entanglement
entropy in moving mirror models.
