I don’t often agree with @Hawaii_Jake, but maybe just this once …
Yes, your date obviously has some problems, but kudos to him for telling you about them pretty early in the relationship, so that you can be prepared and know what it is he’s dealing with, that anyone will have to deal with (indirectly) in a relationship with him. Considering the amount of withholding of vital information that so many enter relationships with, that fact about his openness impresses me a lot. I respect that.
However, even knowing all of that, you seem to be rushing things with him. While I totally agree with Jake that this man apparently deserves love, affection and intimacy, you seem to be rushing things by having sex with him so soon after first meeting him. I can understand that a girl’s got needs, and you may want to “be in a relationship” (or maybe just have good sex on demand – I don’t know and I’m not being judgmental). And this man has clearly identified that he does have special needs. You cannot take that lightly about him.
Look, he’s schizophrenic, he admitted that to you (there may be more that he hasn’t opened up about yet, which needs to be considered as well; that’s not uncommon at all), and he told you how he deals with his illness. Yet you forgot all that the day after being intimate with him, then quickly got impatient and immediately blew him off. Now he has put you at arm’s length – and I think that is very wise of him. He has enough on his plate without having to deal with an impulsive, impatient and needy girlfriend (which is how he may view you right now – I’m not being judgmental, only impartial and maybe blunt).
I would suggest that you probably aren’t the right girl for him. He needs someone a whole lot more stable and grounded than you appear to be: more mature overall, I think – and more considerate. (That may be a little judgmental, but I’m not trying to be harsh on you, only respectful of his clearly stated needs and limitations here.) Be kind to him; be friendly, and maybe you could set him up with one of your friends – who knows the score going into the date! – but give him a pass for now, for his sake.