Difference between Advaita and Advaita Vedanta

It is important to distinguish Advaita Vedanta from some of the contemporary teachers who promote Advaita. Advaita in their case is not short for Advaita Vedanta, but something quite different.  Contemporary Advaita teachers accurately describe the oneness to which Advaita Vedanta points. However, my understanding of the Advaita movement is that they leave it at that. You are already Brahman, so you don’t have to DO anything. 

This is partially accurate… even Shankaracharya says,

Neither by the practice of yoga nor philosophy, nor by good works nor by learning, does liberation come, but only through the realization that Atman and Brahman are one in no other way.(1)

But how does one have that realization? That is where Advaita and Advaita Vedanta diverge. Shankaracharya goes on to say:

A sickness of not cured by saying the word “medicine.” You must take the medicine. Liberation does not come by merely saying the word “Brahman.” Brahman must be experienced. Until you allow this apparent universe to dissolve from your consciousness, until you have experienced Brahman, how can you find liberation just by saying the word Brahman. The result is merely a noise. Until a man has destroyed his enemies and taken possession of the splendor and wealth of the kingdom, he cannot become a king by simply saying “I am a king.”

A buried treasure is not uncovered by merely uttering the words: “Come forth.” You must follow the right directions, dig, remove the stones and earth from above it, and then make it your own. In the same way, the pure truth of the Atman, which is buried under Maya and the effects of Maya, can be reached by meditation, contemplation, and other spiritual disciplines but never by subtle arguments. (2)

Notes:
(1) VivekaChudamani v 56, pg 25
(2) VivekaChudamani v 62-65, pg 27-28