  We propose an efficient method to generate multiparticle entangled states of
NV centers in a spin mechanical system, where the spins interact through a
collective coupling of the Lipkin-Meshkov-Glick (LMG) type. We show that,
through adiabatic transitions in the ground state of the LMG Hamiltonian, the
Greenberger-Horne-Zeilinger (GHZ)-type or the W-type entangled states of the NV
spins can be generated with this hybrid system from an initial product state.
Because of adiabaticity, this scheme is robust against practical noise and
experimental imperfection, and may be useful for quantum information
processing.
