Emotional Detachment
can mean two different things
In the first meaning, it refers to an inability to connect with others emotionally as well as a means of dealing with anxiety by preventing certain situations that trigger it; it is often described as "emotional numbing" or dissociation, Depersonalization or in its chronic form Depersonalization disorder.

In the second sense, it is a type of mental assertiveness that allows people to maintain their boundaries and psychic integrity when faced with the emotional demands of another person or group of persons. These senses are within the framework of psychology and academia, not those of everyone else in the world.