heat up vs deepen

heat up and deepen both are verbs.

Word	Noun	Adjective	Verb	Adverb
heat up	No	No	Yes	No
deepen	No	No	Yes	No

As verbs, deepen is a hypernym of heat up; that is, deepen is a word with a broader meaning than heat up:

Other hypernyms of heat up include compound, heighten, intensify.

heat up (verb)	deepen (verb)
make hot or hotter	become more intense
gain heat or get hot	make more intense, stronger, or more marked
make more intense	become deeper in tone
	make deeper