After you file

Two weeks hasn't been very long for a state refund.  Some states take significantly longer. 

If you efiled, doublecheck with this tool to be sure it was efiled successfully and accepted:
https://shop.turbotax.intuit.com/efile/efile_status_lookup.jsp

If that confirmed it was accepted, then the FAQ below will tell you how to track a state refund.  If  you can't find your info at the state's look-up tool, then print out your state return and look at the refund amount that is shown on it. 

FAQ: How do I track my state refund?

https://ttlc.intuit.com/replies/3300211