Animus Omega is the Animus successor used by Abstergo in Assassin's Creed IV: Black Flag.
Black Flag's modern-day sections take place inside an Abstergo Entertainment facility, where an unnamed employee explores genetic memories through the Animus. Abstergo has adapted the technology for entertainment products, turning historical memory research into a commercial experience. The system used in this setting is identified as Animus Omega.
This framing differs from the earlier games, which center more directly on Desmond Miles using an Animus under the guidance of the Assassins. Black Flag instead presents the player as an employee whose work is monitored within Abstergo's corporate structure.
Helix is the entertainment platform associated with later Assassin's Creed stories, especially Unity and Syndicate. Animus 2.0 is an earlier device used in the series, and Eagle Vision is a perception ability rather than an Animus model. These terms are related to the franchise's technology, but Animus Omega is the specific Black Flag answer.