I really don't know what a Ph.D in "Applied psychology" is, or what it would entail. However, historically "applied psychology" refers to the branches of psychology that seek to use psychological knowledge/insights and directly apply them towards various human problems. Generally, applied psychology is conceptualized as consisting of clinical/counseling psychology, forensic psychology, I/O psychology, and Human Factor psychology.
Experimental psychology is the umbrella term for the branches of psychology that are, for lack of a better word, experimental in nature. They are not directly applied to clinical problems by the researcher. Some of the experimental branches of psychology one can specialize in are developmental, social, cognitive, cognitive neuroscience, animal learning, etc. Experimental psychologists will not be practitioners and will not attempt to apply their resesrch to real world patients or consumers in clinical settings themselves. However, in reality, almost all the different psychology branches are seeking to apply their theory or work to a larger framework so it can inform our understanding of human processes/problems/diseases. However, experimental psychology often (but not always) focuses more on understanding basic underlying processes in normal behavior. Understanding this, others can then further hypothesize what causes these processes to become abnormal. For example, researching the hypothalamus in rats isn't applied directly to any specific human problem, but in concert with other resesrch, it helps us to better understand the basics of functional neuroanatomy. Knowledge about functional neuroanatomy then helps inform the field of clinical neuroscience. Clinical neuroscience then implements and directly applies this acknowledge towards better understanding various neurologic and psychiatric diseases. The exception to this is "experimental psychopathology" which uses experimental methods and procedures to directly examine the factors, causes, and process involved in psychopathology.
