  A novel scheme is proposed for dissipative generation of maximally
entanglement between two Rydberg atoms in the context of cavity QED. The
spontaneous emission of atoms combined with quantum Zeno dynamics and Rydberg
antiblockade guarantees a unique steady solution of the master equation of
system, which just corresponds to the antisymmetric Bell state $|S\rangle$. The
convergence rate is accelerated by the ground-state blockade mechanism of
Rydberg atoms. Meanwhile the effect of cavity decay is suppressed by the Zeno
requirement, leading to a steady-state fidelity about $90\%$ as the single-atom
cooperativity parameter $C\equiv g^2/(\kappa\gamma)= 10$, and this restriction
is further relaxed to $C= 5.2$ once the quantum-jump-based feedback control is
exploited.
