Near-resonant nuclear spin detection with megahertz mechanical resonators
arXiv:2508.14754 · doi:10.21468/SciPostPhys.20.2.037
Abstract
Mechanical resonators operating in the megahertz range have become a versatile platform for fundamental and applied quantum research. Their exceptional properties, such as low mass and high quality factor, make them also appealing for force sensing experiments. In this work, we propose a method for detecting, and ultimately controlling, nuclear spins by coupling them to megahertz resonators via a magnetic field gradient. Dynamical backaction between the sensor and an ensemble of nuclear spins produces a shift in the sensor's resonance frequency. The mean frequency shift due to the Boltzmann polarization is challenging to measure in nanoscale sample volumes. Here, we show that the fluctuating polarization of the spin ensemble results in a measurable increase of the resonator's frequency variance. On the basis of analytical as well as numerical results, we predict that the variance measurement will allow single nuclear spin detection with existing resonator devices.
Major changes and updates from previous version: arXiv:2311.16273
References in corpus (43)
- Cavity Optomechanics
- Measurement-based quantum control of mechanical motion
- Ultra-coherent nanomechanical resonators via soft clamping and dissipation dilution
- Ultrasensitive force detection with a nanotube mechanical resonator
- Mechanical Resonators for Quantum Optomechanics Experiments at Room Temperature
- Mechanical spin control of nitrogen-vacancy centers in diamond
- Dynamics of Nonequilibrium Dicke Models
- Ultralow-Noise SiN Trampoline Resonators for Sensing and Optomechanics
- Mesoscopic physics of nanomechanical systems
- Force-detected nuclear magnetic resonance: Recent advances and future challenges
- Suppressing and restoring the Dicke superradiance transition by dephasing and decay
- Entanglement between Distant Macroscopic Mechanical and Spin Systems
- Vectorial scanning force microscopy using a nanowire sensor
- Strain coupling of a mechanical resonator to a single quantum emitter in diamond
- Light-mediated strong coupling between a mechanical oscillator and atomic spins one meter apart
- Strained crystalline nanomechanical resonators with ultralow dissipation
- Spiderweb nanomechanical resonators via Bayesian optimization: inspired by nature and guided by machine learning
- Theoretical analysis of mechanical displacement measurement using a multiple cavity mode transducer
- The role of spin noise in the detection of nanoscale ensembles of nuclear spins
- Quantum-limited amplification and parametric instability in the reversed dissipation regime of cavity optomechanics
- Ground State Cooling of an Ultracoherent Electromechanical System
- Membrane-based scanning force microscopy
- Coupling ultracold atoms to mechanical oscillators
- Hierarchical tensile structures with ultralow mechanical dissipation
- Stabilization of a linear nanomechanical oscillator to its ultimate thermodynamic limit
- Dynamical many-body phases of the parametrically driven, dissipative Dicke model
- Frequency fluctuations in nanomechanical silicon nitride string resonators
- Analysis of membrane phononic crystals with wide bandgaps and low-mass defects
- Dicke phase transition without total spin conservation
- Nuclear magnetic resonance force microscopy with a microwire rf source
- Fractal-like mechanical resonators with soft-clamped fundamental mode
- Enhanced nonlinear optomechanics in a coupled-mode photonic crystal device
- Magnetic resonance force microscopy with a one-dimensional resolution of 0.9 nanometers
- Nanomechanical resonators with ultra-high- perimeter modes
- Centimeter-scale nanomechanical resonators with low dissipation
- Rare-earth-mediated opto-mechanical system in the reversed dissipation regime
- Spin detection via parametric frequency conversion in a membrane resonator
- Boundary between the thermal and statistical polarization regimes in a nuclear spin ensemble
- Hybrid continuous dynamical decoupling: a photon-phonon doubly dressed spin
- Comparing nonlinear optomechanical coupling in membrane-in-the-middle and single-cavity optomechanical systems
- Nanometer-Scale Nuclear Magnetic Resonance Diffraction with Sub-Ångstrom Precision
- Magnetic Resonance Force Microscopy with Overlapping Frequencies of Cantilever and Spin
- Soft-clamped silicon nitride string resonators at millikelvin temperatures