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We propose an efficient scheme for generating spin-squeezed states at steadystate in a spin-mechanical hybrid system, where an ensemble of SiV centers arecoupled to a strongly damped nanomechanical resonator. We show that,thereexists a collective steady state in the system, which is exactly formed by thecollective spin states plus the zero excitation state of the mechanical mode.The generation of the steady spin-squeezed state is based on a dissipativequantum dynamical process in which the mechanical dissipation plays a positiverole but without destroying the target state. We demonstrate that thespin-squeezed steady state can be deterministically prepared via dissipativemeans, with the optimal spin squeezing up to 4/N in the ideal case, where N isthe number of spins. This work provides a promising platform for quantuminformation processing and quantum metrology.

Dissipation-assisted preparation of steady spin-squeezed states of SiV centers