This is a story related achievement and can be gained at any difficulty.
You will find that the enemies here (apart from the ones on the ground floor) are dormant until you are spotted by the human alarm looking thing so the easiest way to get through the level, especially at the higher difficulties, is to stealth your way up to the top.
After you find Elizabeth and need to rescue her they find you and the safest bet is to pretty much run while using the return to sender vigor as a shield as you run over to hit the levers. Once you hit the second one and get down to Elizabeth the cutscene starts and they all despawn.