title: Phonon-induced spin-spin interactions in diamond nanostructures: application to spin squeezing.
abstract: 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.
authors.affiliation: Physics Department, Harvard University, Cambridge, Massachusetts 02138, USA.
authors.forename: S D
authors.initials: SD
authors.lastname: Bennett
authors.affiliation: Physics Department, Harvard University, Cambridge, Massachusetts 02138, USA.
authors.forename: N Y
authors.initials: NY
authors.lastname: Yao
authors.affiliation: Physics Department, Harvard University, Cambridge, Massachusetts 02138, USA.
authors.forename: J
authors.initials: J
authors.lastname: Otterbach
authors.affiliation: Institute for Quantum Optics and Quantum Information, Austrian Academy of Sciences, 6020 Innsbruck, Austria and Institute for Theoretical Physics, University of Innsbruck, 6020 Innsbruck, Austria.
authors.forename: P
authors.initials: P
authors.lastname: Zoller
authors.affiliation: Institute of Atomic and Subatomic Physics, TU Wien, Stadionallee 2, 1020 Wien, Austria.
authors.forename: P
authors.initials: P
authors.lastname: Rabl
authors.affiliation: Physics Department, Harvard University, Cambridge, Massachusetts 02138, USA.
authors.forename: M D
authors.initials: MD
authors.lastname: Lukin