Atomic state teleportation: from internal to external degrees of freedom

We suggest a simple method to teleport an unknown superposition of the atomic internal state of a two-level atom onto transverse atomic momenta of another atom during its flight. The scheme relies on the standard cavity QED techniques and is inherently deterministic with sufficiently high fidelity for the teleported state. It is further shown that the procedure can be straightforwardly extended to remotely tune in the probability amplitudes of any atomic momenta multipartite entangled state.