TenForward: Where Every Vulcan Knows Your Name

Alcubierre drive

Exactly! This is what OA is using, albiet a modified version that doesn't violate causality like the original Albecurie. See the original link and: https://www.orionsarm.com/xcms.php?r=oa-faq&topic=FTL+in+OA

Star Trek engines are something between displacement and halo drives, though with the bubble technically being "internal" and the ship following all relatavistic limitations:

A warp bubble is a region of space time enclosed in a fold, or bubble, of highly curved space. By expanding the space time metric behind the bubble and contracting the metric in front, the bubble can be made to move without the use of propellant mass. The vessel can apparently be coupled to the warp bubble(s) in various ways; by containing the bubbles wholly within the ship, as in the Displacement Drive; in front of the ship, coupled by gravity and/or magnetism, as in the Halo Drive; or entirely enclosing the ship, as in the Void Drive.

Note that no warp bubble has ever been observed traveling at super-luminal speeds. It is thought that such faster-than-light travel is impossible with void bubbles, because of dynamical instability of the warp metric at speeds greater than light and a suspected high flux of Hawking radiation that would turn anything inside a faster-than-light void bubble into a plasma of fundamental particles.

In the Displacement drive configuration, void bubble based drive nodes, operating in either the Alcubierre or Natario configuration, are enclosed within one or more magnetic containment vessels aboard the ship. The drive nodes are magnetically linked to the vessel within the containment volumes and react against it as they move, effectively pushing or pulling the ship across space with no ejection of reaction mass.

Only wormholes are "FTL," with the catch that they have to be created and transported very carefully with respect to their light horizons (lest a configuration creates closed timelike curves and makes them explode)