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We propose a potentially practical scheme for realization of two-modesqueezed state with respect to two distant nitrogen-vacancy center ensemblescoupled to two interconnected mechanical modes of diamond nanoresonators. Bymaking use of the tunable phonon-spin interaction and the engineeredphonon-phonon tunneling, both the desired excitation transfer process and theoptimal two-mode squeezing between spin ensembles can be realized. Weinvestigate the dynamics of the total system under infulences from themechanical decay using both analytical and numerical methods, where therealistic conditions that leads to optimized squeezing between spin ensemblesare analyzed.

Phonon induced two-mode squeezing of nitrogen-vacancy center ensembles