I read this story a while ago, probably ~5 years now. I think it featured in a SF anthology of some kind, and it may have had a fairly simple name (like "Zombie" or "Sleep").
The basic premise is that the main character has been captured by 'zombies' who are mind-controlled/instinctive/asleep, but do not have rotting flesh. Instead, the effect is a bit like droud, in that they want to convert people to make them happy/ease their pain. The character is escorted through the facility and strapped into a machine that, through some reference to electricity, tingles and feels good. It is then turned up higher, and they start to feel sleepy. The character resists, and is told to give in by the zombies. I think they end up giving in in the end.