How to animate an app bar between screens in Flutter?

Question

I'd like to create the appbar effect shown in the Gif below, where the leading icon persists between screens and the title does similar. Solely using Navigator.push() obviously just pushes one screen over the other with the two appbars overlapping.

I thought I would simply be able to wrap the appbar in a hero widget but this doesn't seem to be the case. How can I implement something similar to the Gif?