Help -- How to deal with the name change on my Chinese passport?

My situation : I-140 (old name, the same as shows on my passport), approved in NSC. Got married in April, hu*****and is an American, so changed to a new name. I-485 & AP will be sent with new name.

My question: If my AP approves with new name, is there any trouble when I go back to China (since passport is still old name)? How can I deal with the name on my passport, is it fine to leave the old name on the passport for five years? I called Chinese consulate in TX for a few times, but nobody helps me... Can anyone help me??? Thanks a lot!