Bennett, StevenYao, NormanOtterbach, JohannesZoller, P.Rabl, P.Lukin, Mikhail2014-07-282013Bennett, S., N. Yao, J. Otterbach, P. Zoller, P. Rabl, and M. Lukin. 2013. Phonon-Induced Spin-Spin Interactions in Diamond Nanostructures: Application to Spin Squeezing. Physical Review Letters 110(15): 156402.0031-9007http://nrs.harvard.edu/urn-3:HUL.InstRepos:12563778We 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.en-USJournal Article2014-07-2810.1103/PhysRevLett.110.156402