Dissipative generation of steady-state entanglement of two separated SiV$$^{-}$$ centers coupled to photonic crystal cavities

Abstract

We propose an efficient scheme for the dissipative generation of steady-state entanglement of two negatively charged silicon-vacancy (SiV $$^{-}$$ ) centers, which are coupled to two separated photonic crystal cavities, respectively. With the external driving fields to tailor the desired interaction between the Zeeman-split lower orbital branches of the ground states of the SiV $$^{-}$$ centers and the cavity fields, we show that the heavily damped cavities can induce an effective quantum reservoir coupled to the two SiV $$^{-}$$ centers. Based on a form of quantum reservoir engineering, the two SiV $$^{-}$$ centers can be cooled down to an entangled state at stationary state. Our scheme has the distinct feature that the decay of the cavities as resource is utilized for producing the steady-state entanglement, which does not need to exactly prepare the initial state of the system. The present work may open up promising perspectives for realizing quantum networks and quantum information processing with solid-state SiV $$^{-}$$ centers in nanophotonic structures.