The Dawn Breaker

There are two type of people in the world. Mortals, and Dawn Breakers. And what a Dawn Breakers? Well for starters, they are immortal beings who have the ability to travel through time and space, and although these powers can be controlled, once a dawn breakers falls asleep, they lose all control and may sometimes wake up in random places throughout time. A twenty year old man, who is believed to be the last Dawn Breaker wakes up one morning to 2036 to find the world in a post apocalyptic state, filled with cannibals and people hunting down Dawn Breakers as they are believed to be the cause of the problems the world now suffers.
Now the Dawn Breaker must prove his innocence to the dying earth, and figure out why he keeps waking up to the same seventeen year old girl in the 2030's.