[subject] + have / has + just / already + [past participle]
[subject] + haven't / hasn't + [past participle] + yet
Have / Has + [subject] + [past participle] + yet?
These three words say how something stands now. They go with the present perfect (have done), because the event is close to now.
Just means "a very short time ago". It goes between have and the participle.
Already means "before now", often sooner than someone expected. It also goes between have and the participle.
Yet goes at the end of questions and negatives. In a question it means "until now". In a negative it means "not until now, but probably soon".
Not yet is a short answer. Still says that something hasn't changed, and in a negative it goes before haven't or hasn't.
In American English, just and already often go with the past simple: I just saw him, Did you eat yet? In British English, the present perfect is usual: I've just seen him, Have you eaten yet?