The Island (2005)

Set in a dystopian future, a group of people work in a facility, essentially as slaves. They do have an incentive though - a regular lottery is held and one of them gets to leave the facility and its restrictions and move to The Island, a paradise. Lincoln Six Echo is one of the workers in the facility and he is infatuated with Jordan Two Delta. His life is fairly uneventful and mundane until Jordan Two Delta gets selected to go to The Island. Then Lincoln starts to discover the truth about the facility and The Island.