  We describe the excitations of a vortex lattice in rapidly rotating trapped
Bose-Einstein Condensates, focusing on their evolution from the hydrodynamic to
the quantum Hall regimes. We observe the dramatic changes and show that single
particle states are an increasingly dominant signature of the spectrum. We
interpret the behavior by analogy with the integral quantum Hall effect.
Furthermore, we compare our results to recent experiments at JILA and find
excellent agreement.
