I am diagnosed with barrett's esophagus with no dysplasia. is it a good idea to stay on the prescribed ppis after i no longer have gerd symptoms?

Ask your doctor: You need to follow up with your gastroenterologist and ask him/ her about that. You have higher change to get esophageal cancer, so regular follow up with your gastroenterologist is very important and he/she will tell you staying on ppi is necessary or not even without symptoms of gerd.

Tough to know: Barrett's is thought to be caused by reflux disease, but its not known if it is the acid or non-acid component of the reflux, or how that reflux actually causes the change. Short segment barrett's however has a very low chance to get worse. I would use your own risk/benefit assessment, and discuss with your primary care. Hope this helps!