Stationary three-dimensional entanglement via dissipative Rydberg pumping

We extend the recent result of a bipartite Bell singlet [A. W. Carr and M. Saffman, Phys. Rev. Lett. 111, 033607 (2013)] to a stationary three-dimensional entanglement between two-individual neutral Rydberg atoms. This proposal makes full use of the coherent dynamics provided by a Rydberg-mediated interaction and the dissipative factor originating from the spontaneous emission of a Rydberg state. The numerical simulation of the master equation reveals that both the target state negativity N((rho) over cap (infinity)) and fidelity F((rho) over cap (infinity)) can exceed 99.90%. Furthermore, a steady three-atom singlet state vertical bar S-3 > is also achievable based on the same mechanism.