Page curve like entanglement dynamics in a simple free fermion model

Reproducing the Page curve for the entanglement dynamics of an evaporating black hole is a major challenge in black hole physics. It is also an important step towards the resolution of the information paradox. I introduce a free fermion model with non-equilibrium quench dynamics that mimicks some features of the evaporation process. The time-dependent entanglement entropy of this model can be calculated exactly and shows Page curve like behavior. While one should be cautious to not overinterpret this analogy, one can draw lessons from it regarding the interpretation of Page curve like entanglement dynamics in quantum many-body systems.