Generation of Ising interaction and cluster states in a one-dimensional coupled resonator waveguide

We propose a scheme for realizing the Ising spin-spin interaction and atomic cluster states utilizing the trapped two-level atoms inside a one-dimensional coupled resonator waveguide. In the strong driving and large detuning conditions, an effective Ising spin-spin interaction can be generated through suitably tuning the parameters. Then atomic cluster states are produced by using this Ising interaction. This scheme need not initially prepare the superposition states of atoms, and is insensitive to cavity decay.