"It's often imagined that atheists are in principle closed to spiritual experience. But the truth is that there is nothing that prevents an atheist from experiencing self-trancending love. Or ecstasy. Or rapture. Or awe. In fact there's nothing that prevents an atheist from going into a cave for a year, or a decade, and practicing meditation like a proper mystic.
What atheists don't tend to do is make unjustified and unjustifiable claims about the cosmos on the basis of those experiences."
From this video: