Most states have 30 days for minimum for avoiding patient abandonment. If you do your due diligence to coordinate patient hand offs, i.e. if you have any outpatients, then you might not need to worry about such a 30 day period.
If you are an intern or don't have any clinic patients you have been assigned, then you don't have any real obligation other than to finish off your current rotation.
Ultimately, dig thru the handbooks, and then formulate your game plan.
Try not to burn you bridge with state licensure so if you ever decided to come back, you have that option.