Deterministic nuclear spin squeezing and squeezing by continuous measurement using vector and tensor light shifts

Abstract

We study the joint effects of vector and tensor light shifts in a set of large spin atoms, prepared in a polarized state and interacting with light. Depending on the ratio $\epsilon$ between tensor and vector coupling and a measurement rate $\Gamma$, we identify a regime of quantum non-demolition measurement squeezing for times shorter than $(\sqrt{\epsilon }\Gamma {)}^{-1}$, and a deterministic squeezing regime for times longer than $(\epsilon \Gamma {)}^{-1}$. We apply our results to fermionic isotopes of strontium, ytterbium, and helium, which are atoms with purely nuclear spin in their ground state, benefiting from very low decoherence. For ytterbium 173, with a cavity such as that of \cite{Thompson2021}, it would be possible to achieve an atomic spin variance reduction of $0.03$ in $\simeq 50\mathrm{ms}$.

References in corpus (34)

• Quantum metrology with nonclassical states of atomic ensembles
• Quantum interface between light and atomic ensembles
• Nonlinear atom interferometer surpasses classical precision limit
• Atom chip based generation of entanglement for quantum metrology
• Entanglement generated by dissipation and steady state entanglement of two macroscopic objects
• Quantum noise limited and entanglement-assisted magnetometry
• New Limits on Coupling of Fundamental Constants to Gravity Using ${}^{87}$Sr Optical Lattice Clocks
• Entanglement-Enhanced Optical Atomic Clock
• Scalable Spin Squeezing for Quantum-Enhanced Magnetometry with Bose-Einstein Condensates
• Sensitivity limits of a Raman atom interferometer as a gravity gradiometer
• Characterization and limits of a cold atom Sagnac interferometer
• Measurements with prediction and retrodiction on the collective spin of 10^{11} atoms beat the standard quantum limit
• Optically Polarized ${}^3$He
• Spin squeezing of a cold atomic ensemble with the nuclear spin of one-half
• Dissipatively driven entanglement of two macroscopic atomic ensembles
• High Bandwidth Atomic Magnetometery with Continuous Quantum Non-demolition Measurements
• Ultra-sensitive magnetometry based on free precession of nuclear spins
• Generation of a squeezed state of an oscillator by stroboscopic back-action-evading measurement
• Spin squeezing and precision probing with light and samples of atoms in the gaussian approximation
• Quantum control and measurement of atomic spins in polarization spectroscopy
• Tensor polarizability and dispersive quantum measurement of multilevel atoms
• QND Measurement of Large-Spin Ensembles by Dynamical Decoupling
• A compact differential gravimeter at the quantum projection noise limit
• Efficient quantum memory and entanglement between light and an atomic ensemble using magnetic fields
• Multilevel Holstein-Primakoff approximation and its application to atomic spin squeezing and ensemble quantum memories
• Cavity-QED determination of the natural linewidth of the ${}^{87}$Sr millihertz clock transition with 30$\mu$Hz resolution
• Nuclear spin squeezing in Helium-3 by continuous quantum nondemolition measurement
• Hyperfine constants and line separations for the ${}^1{S}_0-{}^3{P}_1$ intercombination line in neutral ytterbium with sub-Doppler resolution
• Minutes-scale Schr{ö}dinger-cat state of spin-5/2 atoms
• Conditionnal squeezing of an atomic alignement
• Squeezed light from an oscillator measured at the rate of oscillation
• Single-atom imaging of ${}^{173}$Yb in optical tweezers loaded by a five-beam magneto-optical trap
• Effective light-induced Hamiltonian for atoms with large nuclear spin
• Spin Squeezing of Macroscopic Nuclear Spin Ensembles