Abstract
We propose various schemes for the generation and manipulation of a variety of atomic external transverse momentum states. The fundamental ingredient of all such states is a simple bipartite cavity field-atomic momentum entangled state generated through second order, off-resonant Bragg diffraction of the neutral two-level atoms. Further multipartite entangled state engineering and manipulation including Bell, GHZ, Dicke and W-state production, remote state-assisted entanglement swapping, and teleportation of a cavity field superposition as well as the entanglement onto atomic momentum states are carried out by simultaneously projecting the cavity field(s) over symmetric beam splitter(s). It is further discussed that generation and manipulation of such decoherence resistant momentum states is quite feasible under prevailing experimental research scenario in cavity QED.
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