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Inspired by recent work [A. W. Carr and M. Saffman, Phys. Rev. Lett. 111,033607 (2013)], we propose a simplified scheme to prepare the two-atommaximally entangled states via dissipative Rydberg pumping. Compared with theformer scheme, the simplified one involves less classical laser fields andRydberg interactions, and the asymmetric Rydberg interactions are avoided.Master equation simulations demonstrate that the fidelity and theClauser-Horne-Shimony-Holt correlation of the maximally entangled state couldreach up to 0.999 and 2.821, respectively, under certain conditions.Furthermore, we extend the physical thoughts to prepare the three-dimensionalentangled state, the numerical simulations show that, in theory, both thefidelity and the Negativity of the desired entanglement could be very close tounity under certain conditions.

Simplified scheme for entanglement preparation with Rydberg pumping via dissipation