The modern-day machine in Assassin's Creed that lets users relive genetic memories is called the Animus.
The Animus is a fictional device that reads genetic memories and presents them as an interactive experience. It allows modern users to experience the lives of ancestors without literally traveling through time. Desmond Miles is the best-known early user, reliving the memories of Altaïr and Ezio.
The device is central to the series' framing story because it connects historical gameplay with a modern conflict involving Abstergo and the Assassins. Different versions and related technologies appear across later games, but the Animus remains the franchise's defining term.
The Helix is another piece of Assassin's Creed technology, associated especially with Abstergo's entertainment and research systems. It is therefore a plausible mix-up, but it is not the original machine's name.