Cavity-aided non-demolition measurements for atom counting and spin squeezing

Abstract

Probing the collective spin state of an ensemble of atoms may provide a means to reduce heating via the photon recoil associated with the measurement and provide a robust, scalable route for preparing highly entangled states with spectroscopic sensitivity below the standard quantum limit for coherent spin states. The collective probing relies on obtaining a very large optical depth that can be effectively increased by placing the ensemble within an optical cavity such that the probe light passes many times through the ensemble. Here we provide expressions for measurement resolution and spectroscopic enhancement in such cavity-aided non-demolition measurements as a function of cavity detuning. In particular, fundamental limits on spectroscopic enhancements in ${}^{87}$Rb are considered.

Substantially shortened. 19 pages, 16 figures

References in corpus (17)

• An Optical Lattice Clock with Accuracy and Stability at the $10^{-18}$ Level
• Nonlinear atom interferometer surpasses classical precision limit
• An atomic clock with $10^{-18}$ instability
• Squeezing and entanglement in a Bose-Einstein condensate
• Twin matter waves for interferometry beyond the classical limit
• Quantum computing with an electron spin ensemble
• Deterministic Dicke state preparation with continuous measurement and control
• Spin squeezing of a cold atomic ensemble with the nuclear spin of one-half
• Quantum Kalman Filtering and the Heisenberg Limit in Atomic Magnetometry
• Resonator-Aided Single-Atom Detection on a Microfabricated Chip
• Spin squeezing of atomic ensembles by multi-colour quantum non-demolition measurements
• Conditions for spin squeezing in a cold 87Rb ensemble
• Heterodyne non-demolition measurements on cold atomic samples: towards the preparation of non-classical states for atom interferometry
• Atomic spin squeezing in an optical cavity
• Three-dimensional light-matter interface for collective spin squeezing in atomic ensembles
• Backaction noise produced via cavity-aided nondemolition measurement of an atomic clock state
• Inhomogeneous Light Shift Effects on Atomic Quantum State Evolution in Non-Destructive Measurements

Cited by in corpus (36)

• Quantum metrology with nonclassical states of atomic ensembles
• Deterministic Squeezed States with Joint Measurements and Feedback
• Reduced back-action for phase sensitivity 10 times beyond the standard quantum limit
• Variational spin-squeezing algorithms on programmable quantum sensors
• Near-Unitary Spin Squeezing in ${}^{171}$Yb
• Entanglement-Enhanced Matter-Wave Interferometry in a High-Finesse Cavity
• Squeezing on momentum states for atom interferometry
• Collective Spin-Light and Light-Mediated Spin-Spin Interactions in an Optical Cavity
• Vacuum spin squeezing
• Relaxation oscillations, stability, and cavity feedback in a superradiant Raman laser
• Entangled collective-spin states of atomic ensembles under non-uniform atom-light interaction
• Magnetically-Induced Optical Transparency on a Forbidden Transition in Strontium for Cavity-Enhanced Spectroscopy
• Reservoir-engineered spin squeezing: macroscopic even-odd effects and hybrid-systems implementations
• Cavity-QED determination of the natural linewidth of the ${}^{87}$Sr millihertz clock transition with 30$\mu$Hz resolution
• Strong Coupling on a Forbidden Transition in Strontium and Nondestructive Atom Counting
• Entanglement-Enhanced Optical Atomic Clocks
• Entanglement and spin-squeezing in a network of distant optical lattice clocks
• Geometrically asymmetric optical cavity for strong atom-photon coupling
• Spin-Wave Multiplexed Atom-Cavity Electrodynamics
• Spatially Homogeneous Entanglement for Matter-Wave Interferometry Created with Time-Averaged Measurements
• Ground state bistability of cold atoms in a cavity
• Improving Short-Term Stability in Optical Lattice Clocks by Quantum Nondemolition Measurements
• Squeezing multilevel atoms in dark states via cavity superradiance
• Analysis of spin-squeezing generation in cavity-coupled atomic ensembles with continuous measurements
• 30-Fold Increase in Atom-Cavity Coupling Using a Parabolic Ring Cavity
• Nondestructive dispersive imaging of rotationally excited ultracold molecules
• Renormalization group analysis of near-field induced dephasing of optical spin waves in an atomic medium
• Driven-dissipative four-mode squeezing of multilevel atoms in an optical cavity
• Entanglement generation via single-qubit rotations in a torn Hilbert space
• Coupling atoms to cavities with narrow linewidth optical transitions: Applications to frequency metrology
• Tracking evaporative cooling of a mesoscopic atomic quantum gas in real time
• Two-axis spin squeezing in two cavities
• Lieb-Mattis states for robust entangled differential phase sensing
• Linear and continuous variable spin-wave processing using a cavity-coupled atomic ensemble
• Generating Entanglement between Atomic Spins with Low-Noise Probing of an Optical Cavity
• Random singlet phase of cold atoms coupled to a photonic crystal waveguide