I am a family law attorney in Gilbert and, yes, any debt incurred while married is presumed to be community in nature. Student loans, however, are typically awarded to the person that got the education. If you're the one keeping the loans, though, it's not much of a prize. There are circumstances when a portion of the debt can be shared. It is pretty uncommon, though, and typically involves litigation.
If you have further questions, please don't hesitate to call me.