Spin squeezing via quantum feedback

Abstract

We propose a quantum feedback scheme for producing deterministically reproducible spin squeezing. The results of a continuous nondemolition atom number measurement are fed back to control the quantum state of the sample. For large samples and strong cavity coupling, the squeezing parameter minimum scales inversely with atom number, approaching the Heisenberg limit. Furthermore, ceasing the measurement and feedback when this minimum has been reached will leave the sample in the maximally squeezed spin state.

4 pages, 3 figures, revtex4

Cited by in corpus (102)

• Quantum metrology with nonclassical states of atomic ensembles
• Quantum interface between light and atomic ensembles
• Control of quantum phenomena: Past, present, and future
• Quantum spin squeezing
• Quantum control theory and applications: A survey
• Feedback control of quantum state reduction
• Quantum feedback: theory, experiments, and applications
• Modeling and Control of Quantum Systems: An Introduction
• Deterministic Squeezed States with Joint Measurements and Feedback
• Characterizing the entanglement of symmetric many-particle spin-1/2 systems
• Spin squeezing and pairwise entanglement for symmetric multiqubit states
• Deterministic Dicke state preparation with continuous measurement and control
• Stability of atomic clocks based on entangled atoms
• Optimal Unravellings for Feedback Control in Linear Quantum Systems
• Quantum Kalman Filtering and the Heisenberg Limit in Atomic Magnetometry
• Spin squeezing in a generalized one-axis twisting model
• Direct and Indirect Couplings in Coherent Feedback Control of Linear Quantum Systems
• Continuous Weak Measurement and Nonlinear Dynamics in a Cold Spin Ensemble
• Robust quantum parameter estimation: coherent magnetometry with feedback
• Entangling atoms in bad cavities
• Continuous quantum nondemolition feedback and unconditional atomic spin squeezing
• Synchronization of Interacting Quantum Dipoles
• Tensor polarizability and dispersive quantum measurement of multilevel atoms
• Optimal control of entanglement via quantum feedback
• Spin Squeezing via One-Axis Twisting with Coherent Light
• Pure-state quantum trajectories for general non-Markovian systems do not exist
• Noisy quantum metrology enhanced by continuous nondemolition measurement
• Polarization-based Light-Atom Quantum Interface with an All-optical Trap
• Unconditional quantum-noise suppression via measurement-based quantum feedback
• Ultimate limits for quantum magnetometry via time-continuous measurements
• Bellman equations for optimal feedback control of qubit states
• Suppression of Spin Projection Noise in Broadband Atomic Magnetometry
• Spin squeezing in optical lattice clocks via lattice-based QND measurements
• Teleportation and spin squeezing utilizing multimode entanglement of light with atoms
• Markovian feedback to control continuous variable entanglement
• Relations between bosonic quadrature squeezing and atomic spin squeezing
• Feedback control in quantum optics: an overview of experimental breakthroughs and areas of application
• Optimal waveform estimation for classical and quantum systems via time-symmetric smoothing. II. Applications to atomic magnetometry and Hardy's paradox
• Daemonic ergotropy in continuously-monitored open quantum batteries
• Hamiltonian Design in Atom-Light Interactions with Rubidium Ensembles: A Quantum Information Toolbox
• Conditions for spin squeezing in a cold 87Rb ensemble
• Multilevel Holstein-Primakoff approximation and its application to atomic spin squeezing and ensemble quantum memories
• Noisy atomic magnetometry in real time
• Impact of Non-Unitary Spin Squeezing on Atomic Clock Performance
• Feedback control of trapped coherent atomic ensembles
• Non-Markovian Quantum Dynamics in Strongly Coupled Multimode Cavities Conditioned on Continuous Measurement
• Atomic spin squeezing in an optical cavity
• PT-symmetric feedback induced linewidth narrowing
• Quantum filter reduction for measurement-feedback control via unsupervised manifold learning
• Entanglement and spin squeezing in the three-qubit transverse Ising model
• Nuclear spin squeezing in Helium-3 by continuous quantum nondemolition measurement
• Teleportation of an atomic ensemble quantum state
• States for phase estimation in quantum interferometry
• Spin squeezing as a measure of entanglement in a two qubit system
• Dynamical programming of continuously observed quantum systems
• Simulation of complex dynamics of mean-field $p$-spin models using measurement-based quantum feedback control
• Spin squeezing criterion with local unitary invariance
• Spin-squeezing and Dicke state preparation by heterodyne measurement
• The Quantum Theory of MIMO Markovian Feedback with Diffusive Measurements
• Replacing Quantum Feedback with Open-Loop Control and Quantum Filtering
• Transition from weak to strong measurements by nonlinear quantum feedback control
• Entanglement of two atomic samples by quantum non-demolition measurements
• Estimating a fluctuating magnetic field with a continuously monitored atomic ensemble
• Near-optimal two-mode spin squeezing via feedback
• Cooling and state preparation in an optical lattice via Markovian feedback control
• Feedback-assisted quantum search by continuous-time quantum walks
• Experimental simulation of daemonic work extraction in open quantum batteries on a digital quantum computer
• Scattering of polarized laser light by an atomic gas in free space: a QSDE approach
• Open-system many-body dynamics through interferometric measurements and feedback
• Coherently tracking the covariance matrix of an open quantum system
• Diffraction effects on light-atomic ensemble quantum interface
• Feedback-stabilized dynamical steady states in the Bose-Hubbard model
• Conditionnal squeezing of an atomic alignement
• Entanglement of a Single Spin-1 Object: An Example of Ubiquitous Entanglement
• Quantum Atom Optics: Theory and Applications to Quantum Technology
• Volterra filters for quantum estimation and detection
• Analysis of spin-squeezing generation in cavity-coupled atomic ensembles with continuous measurements
• Generating conditional atomic entanglement by measuring photon number in a single output channel
• Noisy atomic magnetometry with Kalman filtering and measurement-based feedback
• Feedback-induced nonlinearity and superconducting on-chip quantum optics
• Dissipative versus Conditional Generation of Gaussian Entanglement and Spin Squeezing
• Dynamics of entanglement between two atomic samples with spontaneous scattering
• Non-Markovian Particle Dynamics in Continuously Controlled Quantum Gases
• Equivalence between two-mode spin squeezed states and pure entangled states with equal spin
• Atomic entanglement generation with reduced decoherence via four-wave mixing
• Controlling quantum flux through measurement: an idealised example
• Quasideterministic generation of maximally entangled states of two mesoscopic atomic ensembles by adiabatic quantum feedback
• Applications of Feedback Control in Quantum Systems
• Quantum engineering of a synthetic thermal bath for bosonic atoms in a one-dimensional optical lattice via Markovian feedback control
• Preparing Quantum States by Measurement-feedback Control with Bayesian Optimization
• Heat transport in an optical lattice via Markovian feedback control
• Multi-state interferometric measurement of nonlinear AC Stark shift
• Daemonic ergotropy of Gaussian quantum states and the role of measurement-induced purification via general-dyne detection
• Conditional Entanglement Amplification via Non-Hermitian Superradiant Dynamics
• Cooperative spin decoherence and population transfer
• An Exponential Quantum Projection Filter for Open Quantum Systems
• Boosting Work Extraction in Quantum Batteries via Continuous Environment Monitoring
• Stochastic Schrödinger equation for a homodyne measurement setup of strongly correlated systems
• Application of simultaneous and continuous measurement of noncommutative observables: Preparation of the pure ideal quadrature-squeezed state by feedback control
• Amplified Quantum Dynamics and Enhanced Parameter Sensitivity via Coherent Feedback in Collective Atomic Spin Systems
• Bounding fidelity in quantum feedback control: theory and applications to Dicke state preparation
• Feedback cooling of fermionic atoms in optical lattices