Detection of a weak magnetic field via cavity enhanced Faraday rotation

Abstract

We study the sensitive detection of a weak static magnetic field via Faraday rotation induced by an ensemble of spins in a bimodal degenerate microwave cavity. We determine the limit of the resolution for the sensitivity of the magnetometry achieved using either single-photon or multiphoton inputs. For the case of a microwave cavity containing an ensemble of Nitrogen-vacancy defects in diamond, we obtain a magnetometry sensitivity exceeding $0.5~\text{\nano\tesla}/\sqrt{\text{\hertz}}$, utilizing a single photon probe field, while for a multiphoton input we achieve a sensitivity about $1 \text{\femto\tesla}/\sqrt{\text{\hertz}}$, using a coherent probe microwave field with power of $P_\text{in}=1~\text{\nano\watt}$.

8 pages, 7 figures

References in corpus (21)

• Optomechanically induced transparency
• Electromagnetically Induced Transparency and Slow Light with Optomechanics
• Theory of ground state cooling of a mechanical oscillator using dynamical back-action
• Giant Faraday rotation in single- and multilayer graphene
• Giant optical Faraday rotation induced by a single electron spin in a quantum dot: Applications to entangling remote spins via a single photon
• Quantum Non-demolition Detection of Single Microwave Photons in a Circuit
• Ultrahigh finesse Fabry-Perot superconducting resonator
• General optimality of the Heisenberg limit for quantum metrology
• Nuclear spin pair coherence in diamond for atomic scale magnetometry
• Magneto-optical rotation and cross-phase modulation via coherently driven tripod atoms
• All-Optical Vector Atomic Magnetometer
• Polarization-selective excitation of N-V centers in diamond
• Protecting a Spin Ensemble against Decoherence in the Strong-Coupling Regime of Cavity QED
• Probing dynamics of an electron-spin ensemble via a superconducting resonator
• Spectroscopic properties of inhomogeneously broadened spin ensembles in a cavity
• Storage and retrieval of microwave fields at the single-photon level in a spin ensemble
• Strong driving of a single spin using arbitrarily polarized fields
• Nanoscale magnetometry using a single spin system in diamond
• Non-Markovian dynamics of a single-mode cavity strongly coupled to an inhomogeneously broadened spin ensemble
• Strong Coupling Between P1 Diamond Impurity Centres and 3D Lumped Photonic Microwave Cavity
• Faraday rotation echo spectroscopy and detection of quantum fluctuations

Cited by in corpus (4)

• Generating spin squeezing states and Greenberger-Horne-Zeilinger entanglement using a hybrid phonon-spin ensemble in diamond
• Macroscale non-local transfer of superconducting signatures to a ferromagnet in a cavity
• Quantum Critical Environment Assisted Quantum Magnetometer
• Squeezing giant spin states via geometric phase control in cavity-assisted Raman transitions