What has turned into the rapture is really a mixture of confusion, conflation, and traditions of man. It all happens at the exact same time when Jesus returns. Everybody turns to spirit. Some Spirits at that point instantly enter into a immortal life while those who didn't and still have mortal spirit meaning libel to die, they are still in fact in the spiritual form. And yes they remain on the earth in until the thousand years pass and then the judgment begins.
That simple.