Adam and Eve, along with their children, lost the one thing they were ultimately designed for... The very presence of God.
God would still visit from time to time; in a whisper within a dream, from a burning bush, as a pretending Angel (accepting worship whereas no real angel would dare), as a pillar of fire, as a promise in blood.
God would tease out his presence because it was all that was left open to him until the promise made to Adam in the garden found it's time among the humans...
Immanuel would be The Name.