Generating Three-Dimensional Entanglement for Atomic Ensembles Trapped in Two Separated Cavity via an Optical Fiber

We propose a scheme for generating high fidelity three-dimensional entangled state for two atomic ensembles in spatially separated cavities coupled by an optical fiber. By employing multiple atoms in a cavity and resonant interaction between atoms and photons, the interaction time can be shortened greatly. Furthermore, we study the effects of spontaneous emission of atoms and photon leakage.