After I get my Green Card in self-petition EB1-Extraordinary Ability, do I still have to stay in the same or similar field? Also, as a derivative beneficiary, if my wife wants to change her job, does she has to stay in the same or similar field also?

Answer:

For self-petition or employer-petition EB1-Extraordinary Ability petition, if you were granted a U.S. Permanent Resident status because of your extraordinary ability in a field, you may want to work in the field at least for a while after your Green Card petition approval. It is not recommended that you change job quickly.

For your wife, since she is not the direct beneficiary of the EB1-EA I-140 petition, she is not subject to the requirement of any specific employment. Before obtaining her Green Card and with a valid EAD, she can work for any job and anywhere. After receiving her Green Card, she can also change job at any time.

http://www.greencardapply.com/question/question14/EB1A-GreenCard-Approval_0331.htm