  Simulating quantum phenomena in extreme spacetimes in the laboratory
represents a powerful approach to explore fundamental physics in the interplay
of quantum field theory and general relativity. Here we propose to simulate the
movement of a Dirac particle propagating with a superluminal velocity caused by
the emergent Alcubierre warp drive spacetime using trapped ions. We demonstrate
that the platform allows observing the tilted lightcone that manifests as a
superluminal velocity, which is in agreement with the prediction of general
relativity. Furthermore, the Zitterbewegung effect arising from relativistic
quantum mechanics persists with the superluminal propagation and is
experimentally measurable. The present scheme can be extended to simulate the
Dirac equation in other exotic curved spacetimes, thus provides a versatile
tool to gain insights into the fundamental limit of these extreme spacetimes.
