Radiation to atom quantum mapping by collective recoil in a Bose-Einstein condensate

We propose a scheme to realize radiation to atom continuous variable quantum mapping, i.e., to teleport the quantum state of a single mode radiation field onto the collective state of atoms with a given momentum out of a Bose-Einstein condensate. The atoms-radiation entanglement needed for the teleportation protocol is established through the interaction of a single mode with the condensate in the presence of a strong far off-resonant pump laser, whereas the coherent atomic displacement is obtained by the same interaction with the radiation in a classical coherent field. (C) 2003 Elsevier B.V. All rights reserved.