We show that it is possible to entangle three different many-particle states
by Bragg spectroscopy with nonclassical light in a Bose condensate of weakly
interacting atomic gases. Among these three states, two are of atoms
corresponding to two opposite momentum side-modes of the condensate; and the
other is of single-mode photons of the output probe beam. We demonstrate strong
dependence of the multiparticle entanglement on the quantum statistics of the
probe light. We present detailed results on entanglement keeping in view of the
possible experimental situation.Comment: 5 pages, 4 figures, Revte