  We propose a scheme for generating three-dimensional entanglement between two
atoms trapped in two spatially separated cavities reapectively via shortcuts to
adi- abatic passage based on the approach of Lewis-Riesenfeld invariants in
cavity quan- tum electronic dynamics. By combining Lewis-Riesenfeld invariants
with quantum Zeno dynamics, we can generate three dimensional entanglement of
the two atoms with high fidelity. The Numerical simulation results show that
the scheme is ro- bust against the decoherences caused by the photon leakage
and atomic spontaneous emission.
