Steady entanglement in bosonic dissipative networks

In this paper we propose a scheme for the preparation of steady entanglements in bosonic dissipative networks. We describe its implementation in a system of coupled cavities interacting with an engineered reservoir built up of three-level atoms. Emblematic bipartite ($\text{Bell}$ and $\text{NOON}$) and multipartite ($W$-class) states can be produced with high fidelity and purity.

Figure 1

Evolution of the fidelity of reaching the target state $|{\varphi }_{+}\rangle$, plotted against the scaled time $\gamma t$ from an initial thermal state with $\overline{n}=0.05$ in each cavity. In the inset we compare the fidelities computed from Eq. (7) and when we replace the effective Lindbladian in this equation by the coherent evolution $-i[H,\rho ].$

Figure 2

Evolution of the fidelity of reaching the target state $|\text{NOON}\rangle$ against the scaled time $\gamma t$ from an initial thermal state with $\overline{n}=0.05$ in each cavity. The inset shows the evolution of the purity.

Figure 3

Evolution of the fidelity to obtain the target states ${|W\rangle }_3$ and ${|W\rangle }_4$ against the scaled time $\gamma t$ from an initial thermal state with $\overline{n}=0.05$ in each cavity. The inset gives the evolution of the purity.