  We extend the recent result of bipartite Bell singlet [Carr and Saffman,
Phys. Rev. Lett. {\bf111}, (2013)] to a stationary three-dimensional
entanglement between two-individual neutral Rydberg atoms. This proposal makes
full use of the coherent dynamics provided by Rydberg mediated interaction and
the dissipative factor originating from the spontaneous emission of Rydberg
state. The numerical simulation of the master equation reveals that both the
target state negativity ${\cal N}(\hat\rho_{\infty})$ and fidelity ${\cal
F}(\hat\rho_{\infty})$ can exceed 99.90%. Furthermore, a steady three-atom
singlet state $|S_3\rangle$ is also achievable based on the same mechanism.

Quantum Physics