Magnetometry via spin-mechanical coupling in levitated optomechanics

Abstract

We analyze magnetometry using an optically levitated nanodiamond. We consider a configuration where a magnetic field gradient couples the mechanical oscillation of the diamond with its spin degree of freedom provided by a Nitrogen vacancy center. First, we investigate measurement of the position spectrum of the mechanical oscillator. We find that conditions of ultrahigh vacuum and feedback cooling allow a magnetic field gradient sensitivity of 1 $\mu$Tm${}^{-1}$/$\sqrt{\mbox{Hz}}$. At high pressure and room temperature, this sensitivity degrades and can attain a value of the order of 100 $m$Tm${}^{-1}$/$\sqrt{\mbox{Hz}}$. Subsequently, we characterize the magnetic field gradient sensitivity obtainable by maneuvering the spin degrees of freedom using Ramsey interferometry. We find that this technique can offer photon-shot noise and spin-projection noise limited magnetic field gradient sensitivity of 100 $\mu$Tm${}^{-1}$/$\sqrt{\mbox{Hz}}$. We conclude that this hybrid levitated nanomechanical magnetometer provides a favorable and versatile platform for sensing applications.

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Cited by in corpus (10)

• Optomechanics with Levitated Particles
• Optical cold damping of neutral nanoparticles near the ground state in an optical lattice
• Ramsey interferences and spin echoes from electron spins inside a levitating macroscopic particle
• Controlling the motional quality factor of a diamagnetically levitated graphite plate
• PT Symmetry, induced mechanical lasing and tunable force sensing in a coupled-mode optically levitated nanoparticle
• Stability of a Magnetically Levitated Nanomagnet in Vacuum: Effects of Gas and Magnetization Damping
• Heisenberg-Limited Spin-Mechanical Gravimetry
• Single-photon transfer using levitated cavityless optomechanics
• Gyroscopically stabilized quantum spin rotors
• Torque-free manipulation of nanoparticle rotations via embedded spins