The device used to relive ancestral memories in Assassin's Creed is called the Animus.
In the series, the Animus is a machine that interprets genetic memories and lets a modern subject experience the lives of ancestors. The concept explains how the games can move between a contemporary storyline and historical settings without treating time travel as the mechanism.
The original Animus was developed by Abstergo Industries, the modern corporation connected to the Templars. Desmond Miles becomes the first major modern subject, using the machine to access memories linked to Altaïr and later Ezio Auditore.
Helix is a later Abstergo entertainment platform, not the name of the original memory machine. Eagle Vision is an Assassin ability, while an Apple of Eden is an ancient Isu artifact. Those terms are closely associated with the series but are not interchangeable with Animus.