My friend is soon to obtain her doctoral degree in applied physics and start postdoc. She is provided by the department a chance to choose what to be displayed on the degree (between D.Eng. and Ph.D., but both in applied physics). She is actually doing purely theoretical condensed matter physics although the department is named applied physics. She says that she will try to stay in the same academia, but not excluding the possibility of moving out if not going well.
She asked me and it's not quite clear to us what the difference might be and what might be affected in the future.