We propose and analyze a novel mechanism for long-range spin-spin interactions in diamond nanostructures. The interactions between electronic spins, associated with nitrogen-vacancy centers in diamond, are mediated by their coupling via strain to the vibrational mode of a diamond mechanical nanoresonator. This coupling results in phonon-mediated effective spin-spin interactions that can be used to generate squeezed states of a spin ensemble. We show that spin dephasing and relaxation can be largely suppressed, allowing for substantial spin squeezing under realistic experimental conditions. Our approach has implications for spin-ensemble magnetometry, as well as phonon-mediated quantum information processing with spin qubits.
@article{arxiv.1301.2968,
title = {Phonon-induced spin-spin interactions in diamond nanostructures: application to spin squeezing},
author = {S. D. Bennett and N. Y. Yao and J. Otterbach and P. Zoller and P. Rabl and M. D. Lukin},
journal= {arXiv preprint arXiv:1301.2968},
year = {2013}
}