Maybe in ant-consciousness, this question doesn’t even make sense. I don’t know.
Nice question, I’ve been meaning to google out insects. I was really confused if they had a brain and nervous system, and what its like, even though I was a bio major. DUH!
Here is an interesting link about ant sleep facts: http://www.antcam.com/info/faq/5.3.html
It seems that they sleep or meditate when there’s not much work to do, kind of like a reserve for the colony