When should I receive my state refund

No one can know anything specific about your state refund.  Only the state tax agency knows what all they are doing with your return.  There are too many variables, including 40 different state tax agencies, each doing their own thing.

If you efiled, you can double-check with this tool to be sure the state return was efiled successfully and accepted:

https://shop.turbotax.intuit.com/efile/efile_status_lookup.jsp

Your state tax website may have a FAQ section stating what to expect for refunds, such as how long it usually takes in your state, when to contact them, etc.

Here's how to track a state refund: