  We propose a scheme to deterministically generate atomic two-dimensional and
three-dimensional entangled states by passing two 87Rb atoms through a high-Q
bi-mode cavity alternately. The scheme is insensitive to atomic spontaneous
decay because of large atom-cavity detuning, the influence of cavity decay is
also discussed. Our strictly numerical simulation shows our proposal is good
enough to demonstrate the generation of atomic entanglement with high fidelity
and within the current experimental technologies.
