Magnetic pseudo-fields in a rotating electron-nuclear spin system

Abstract

A precessing spin observed in a rotating frame of reference appears frequency-shifted, an effect analogous to the precession of a Foucault pendulum observed on the rotating Earth. This frequency shift can be understood as arising from a magnetic pseudo-field in the rotating frame that nevertheless has physically significant consequences, such as the Barnett effect. Detecting these pseudo-fields is experimentally challenging, as a rotating-frame sensor is required. Previous work has realised classical rotating-frame detectors. Here we use quantum sensors, nitrogen-vacancy (NV) centres, in a rapidly rotating diamond to detect pseudo-fields in the rotating frame. While conventional magnetic fields induce precession at a rate proportional to the gyromagnetic ratio, rotation shifts the precession of all spins equally, and thus primarily affect nearby ${}^{13}$C nuclear spins. We are thus able to explore these effects via quantum sensing in a rapidly rotating frame, and define a new approach to quantum control using rotationally-induced nuclear spin-selective magnetic fields. This work provides an integral step towards realising precision rotation sensing and quantum spin gyroscopes.

12 pages including 3 figures

References in corpus (9)

• The nitrogen-vacancy colour centre in diamond
• Nanometer scale quantum thermometry in a living cell
• Synthetic magnetic fields for ultracold neutral atoms
• Coherence of Nitrogen-Vacancy Electronic Spin Ensembles in Diamond
• Decoherence and dynamical decoupling control of nitrogen-vacancy center electron spins in nuclear spin baths
• Stable Three-Axis Nuclear Spin Gyroscope in Diamond
• Gyroscopes based on nitrogen-vacancy centers in diamond
• Measurable quantum geometric phase from a rotating single spin
• Rotational Doppler Effect in Magnetic Resonance

Cited by in corpus (23)

• Nuclear Spin Gyroscope based on the Nitrogen Vacancy Center in Diamond
• Demonstration of diamond nuclear spin gyroscope
• Cross-sensor feedback stabilization of an emulated quantum spin gyroscope
• Quantum control and Berry phase of electron spins in rotating levitated diamonds in high vacuum
• Observation of a quantum phase from classical rotation of a single spin
• Nonadiabatic dynamics and geometric phase of an ultrafast rotating electron spin
• Experimental demonstration of phase-matching and Sagnac effect in a millimeter-scale wedged resonator gyroscope
• $T_2$-limited sensing of static magnetic fields via fast rotation of quantum spins
• Rotation sensing in two coupled whispering-gallery-mode resonators with loss and gain
• Quantum control of nuclear spin qubits in a rapidly rotating diamond
• DC Quantum Magnetometry Below the Ramsey Limit
• Dissipation-induced rotation of suspended ferromagnetic nanoparticles
• Optical nonreciprocity in rotating diamond with nitrogen-vacancy center
• Exceptional point enhanced optical gyroscope in mechanical PT-symmetric system
• Quantum memory assisted precision rotation sensing
• Anisotropic electron-nuclear interactions in a rotating quantum spin bath
• Motion-induced spin transfer
• Spin current generation due to differential rotation
• Twisting Optomechanical Cavity
• Quantum beats and metrology in a rapidly rotating Nitrogen-Vacancy center
• Multiparameter quantum metrology using strongly interacting spin systems
• Optimal optical polarization of nitrogen-vacancy center with arbitrary waveform pulse
• Torque-free manipulation of nanoparticle rotations via embedded spins