I want my warp drive

Harold White of NASA and group of scientists are actually working on this right now. You can look up his paper, it's title is "The Alcubierre Warp Drive in Higher Dimensional Spacetime". But, if you'd like something less technical, there's an article on io9 about it entitled "How NASA might build its very first warp drive" by George Dvorsky.

Basically, Harold White took what is know as the Alcubierre Drive and made the theory practically feasible. The Alcubierre Drive essentially works by contracting space-time in front of the spacecraft and expanding space-time behind the spacecraft in a ring-like fashion such that the vehicle doesn't locally move, but appears to move FTL to observers because spacetime "pushes" the vehicle. The problem with this theory is that it required immense amounts of energy, making it impractical, and there was what was known as the symmetry/asymmetry paradox. The paradox was the simple fact that if energy density is symmetric perpendicular to it's direction of travel, then how does space-time know which way to warp asymmetrically? Do you go forward or backward? Howard White solved these problems. For the first problem, he considered the geometry. Instead of the ring-like geometry, he made the walls thicker and more toroid shaped. The downside to this is that the local space volume, where the spacecraft resides, is smaller. However, the calculations indicate that even a small decrease in volume has significant impact on the amount of energy required. The 2nd problem was solved by putting the Alcubierre warp drive metric into its canonical form using Rindler's method. Then, using the canonical form, one can extract the potential (phi) and then deduce the space-time expansion boost (gamma). Then gamma can simply be thought of as a scalar of the initial velocity. Think of it like the pressure gradients around a sphere moving through a fluid. So, the space-time warping is actually a secondary effect. If you have zero velocity, you'll have expansion boost (gamma) but no York Extrinsic Time (theta, aka space-time warping). So unlike the original Alcubierre drive in which no initial velocity was posited, this new rethink does require an initial velocity.