Teleportation of atomic external states on the internal degrees of freedom

The neutral atoms quantized atomic external momenta states are widely used to avoid the decoherence risk and to complete numerous quantum information protocols such as teleportation. Here we suggest a scheme for the teleportation of an unknown superposition of external atomic quantized momenta states of a neutral atom on the internal energy levels of another atom. The scheme is executed through off-resonant and resonant atomic Bragg diffraction (ABD) under cavity QED scenario. The experimental feasibility of the proposal has also been explored using appropriate experimental parameters.