  By using quantum Zeno dynamics, we propose a controllable approach to
deterministically generate tripartite GHZ states for three atoms trapped in
spatially separated cavities. The nearest-neighbored cavities are connected via
optical fibers and the atoms trapped in two ends are tunably driven. The
generation of the GHZ state can be implemented by only one step manipulation,
and the EPR entanglement between the atoms in two ends can be further realized
deterministically by Von Neumann measurement on the middle atom. Note that the
duration of the quantum Zeno dynamics is controllable by switching on/off the
applied external classical drivings and the desirable tripartite GHZ state will
no longer evolve once it is generated. The robustness of the proposal is
numerically demonstrated by considering various decoherence factors, including
atomic spontaneous emissions, cavity decays and fiber photon leakages, etc. Our
proposal can be directly generalized to generate multipartite entanglement by
still driving the atoms in two ends.
