Trancers (1984)

Jack Deth is a kind of cop/bounty hunter in the bleak Los Angeles of the future. He's become obssessed with chasing Whistler -- an evil criminal who uses powerful hypnotic powers to transform people into zombie-like creatures known as trancers. Whistler has managed to escape through time travel and is loose in 1980s L.A., but Deth is on his trail.