detachment vs rift

detachment and rift both are nouns.

Word	Noun	Adjective	Verb	Adverb
detachment	Yes	No	No	No
rift	Yes	No	No	No

As nouns, rift is a hyponym of detachment; that is, rift is a word with a more specific, narrower meaning than detachment:

Other hyponyms of detachment include breach, break, falling out, rupture, severance, break.

detachment (noun)	rift (noun)
the act of releasing from an attachment or connection	a personal or social separation (as between opposing factions)
coming apart	a narrow fissure in rock
avoiding emotional involvement	a gap between cloud masses
a small unit of troops of special composition
the state of being isolated or detached