Entanglement and extreme planar spin squeezing

Abstract

We introduce an entanglement-depth criterion optimized for planar quantum squeezed (PQS) states. It is connected with the sensitivity of such states for estimating an arbitrary, not necessarily small phase. We compare numerically our criterion with the well-known extreme spin squeezing condition of Sørensen and Mølmer [Phys. Rev. Lett. 86, 4431 (2001)] and show that our condition detects a higher depth of entanglement when both planar spin variances are squeezed below the standard quantum limit. We employ our theory to monitor the entanglement dynamics in a PQS state produced via quantum non-demolition (QND) measurements using data from a recent experiment [Phys. Rev. Lett. 118, 233603 (2017)].

References in corpus (35)

• Quantum entanglement
• Entanglement detection
• Many-particle entanglement with Bose--Einstein condensates
• Nonlinear atom interferometer surpasses classical precision limit
• Atom chip based generation of entanglement for quantum metrology
• Quantum metrology from a quantum information science perspective
• Squeezing and entanglement in a Bose-Einstein condensate
• Implementation of Cavity Squeezing of a Collective Atomic Spin
• Entanglement and Extreme Spin Squeezing
• Twin matter waves for interferometry beyond the classical limit
• States of an Ensemble of Two-Level Atoms with Reduced Quantum Uncertainty
• Spin-Nematic Squeezed Vacuum in a Quantum Gas
• Magnetic sensitivity beyond the projection noise limit by spin squeezing
• Experimental realization of Dicke states of up to six qubits for multiparty quantum networking
• Experimental entanglement of a six-photon symmetric Dicke state
• Detecting multiparticle entanglement of Dicke states
• Deterministic entanglement generation from driving through quantum phase transitions
• Multipartite entanglement in spin chains
• Deterministic Squeezed States with Joint Measurements and Feedback
• Quantitative entanglement witnesses
• Estimating entanglement measures in experiments
• Reduced back-action for phase sensitivity 10 times beyond the standard quantum limit
• Spin squeezing of atomic ensembles via nuclear-electronic spin entanglement
• Simultaneous tracking of spin angle and amplitude beyond classical limits
• Uncertainty Relations for Angular Momentum
• Spin squeezing in an ensemble of quadrupolar nuclei NMR system
• Planar quantum squeezing and atom interferometry
• Characterizing the energy gap and demonstrating an adiabatic quench in an interacting spin system
• Quantum atom-light interfaces in the gaussian description for spin-1 systems
• Optimal witnessing of the quantum Fisher information with few measurements
• Planar squeezing by quantum non-demolition measurement in cold atomic ensembles
• Entanglement and extreme spin squeezing of unpolarized states
• Entanglement, number fluctuations and optimized interferometric phase measurement
• Entanglement-enhanced phase estimation without prior phase information
• Extreme spin squeezing for photons

Cited by in corpus (17)

• Quantum metrology with nonclassical states of atomic ensembles
• Entanglement Certification $-$ From Theory to Experiment
• Entanglement quantification in atomic ensembles
• Bounding entanglement dimensionality from the covariance matrix
• Activation of metrologically useful genuine multipartite entanglement
• Mesoscopic quantum superposition states of weakly-coupled matter-wave solitons
• Criteria to detect genuine multipartite entanglement using spin measurements
• Einstein-Podolsky-Rosen steering, depth of steering and planar spin squeezing in two-mode Bose-Einstein condensates
• Quantum Polarimetry
• Alternatives of entanglement depth and metrological entanglement criteria
• Quantifications for multi-mode entanglement
• Entanglement classification and \emph{non-k}-separability certification via Greenberger-Horne-Zeilinger-class fidelity
• Driven quadrature and spin squeezing in a cavity-coupled ensemble of two-level states
• Anatomy of entanglement and nonclassicality criteria
• Entanglement generation via single-qubit rotations in a torn Hilbert space
• $su(d)$-squeezing and many-body entanglement geometry in finite-dimensional systems
• Optimal spin- and planar-quantum squeezing in superpositions of spin coherent states