The modern-day memory machine in the Assassin's Creed series is called the Animus.
The Animus allows a user to experience genetic memories inherited from ancestors. In the games, this technology makes it possible for a modern character to relive historical events without literally traveling through time. The device is central to the franchise's structure, linking present-day characters with historical protagonists.
Desmond Miles uses an Animus in the first games, while later stories feature other users and versions of the technology. Abstergo Industries develops and uses Animus systems, and the technology also becomes part of the company's entertainment products.
Helix is an Abstergo entertainment platform, not the generic name of the memory machine. Eagle Vision is a perception ability used by characters, and an Apple of Eden is an ancient Isu artifact. Those terms belong to the same fictional universe but describe different things.