  We calculate the time evolution of entanglement entropy in two dimensional
conformal field theory with a moving mirror. For a setup modeling Hawking
radiation, we obtain a linear growth of entanglement entropy and show that this
can be interpreted as the production of entangled pairs. For a setup, which
mimics black hole formation and evaporation, we find that the evolution follows
the ideal Page curve. We perform these computations by constructing the gravity
dual of the moving mirror model via holography. We also argue that our
holographic setup provides a concrete model to derive the Page curve for black
hole radiation in the strong coupling regime of gravity.
