Number-phase uncertainty relations and bipartite entanglement detection in spin ensembles
arXiv:2104.05663 · doi:10.22331/q-2023-02-09-914
Abstract
We present a method to detect bipartite entanglement based on number-phase-like uncertainty relations in split spin ensembles. First, we derive an uncertainty relation that plays the role of a number-phase uncertainty for spin systems. It is important that the relation is given with well-defined and easily measurable quantities, and that it does not need assuming infinite dimensional systems. Based on this uncertainty relation, we show how to detect bipartite entanglement in an unpolarized Dicke state of many spin-1/2 particles. The particles are split into two subensembles, then collective angular momentum measurements are carried out locally on the two parts. First, we present a bipartite Einstein-Podolsky-Rosen (EPR) steering criterion. Then, we present an entanglement condition that can detect bipartite entanglement in such systems. We demonstrate the utility of the criteria by applying them to a recent experiment given in K. Lange et al. [Science 360, 416 (2018)] realizing a Dicke state in a Bose-Einstein condensate of cold atoms, in which the two subensembles were spatially separated from each other. Our methods also work well if split spin-squeezed states are considered. We show in a comprehensive way how to handle experimental imperfections, such as the nonzero particle number variance including the partition noise, and the fact that, while ideally BECs occupy a single spatial mode, in practice the population of other spatial modes cannot be fully suppressed.
arXiv comment34 pages including 5 figures, quantumarticle
References in corpus (95)
- Quantum entanglement
- Entanglement detection
- Quantum metrology with nonclassical states of atomic ensembles
- Measurement-based quantum computation with cluster states
- How to share a quantum secret
- Quantum interface between light and atomic ensembles
- Scalable multi-particle entanglement of trapped ions
- A Class of Quantum Error-Correcting Codes Saturating the Quantum Hamming Bound
- 14-qubit entanglement: creation and coherence
- Observation of three-photon Greenberger-Horne-Zeilinger entanglement
- Experimental long-lived entanglement of two macroscopic objects
- Nonlinear atom interferometer surpasses classical precision limit
- Atom chip based generation of entanglement for quantum metrology
- Entanglement, Non-linear Dynamics, and the Heisenberg Limit
- Quantum spin squeezing
- Quantum metrology from a quantum information science perspective
- Squeezing and entanglement in a Bose-Einstein condensate
- Experimental entanglement of six photons in graph states
- The Einstein-Podolsky-Rosen paradox: from concepts to applications
- Experimental criteria for steering and the Einstein-Podolsky-Rosen paradox
- Fisher information and multiparticle entanglement
- Multipartite entanglement and high precision metrology
- Quantum spin dynamics and entanglement generation with hundreds of trapped ions
- Entanglement and Extreme Spin Squeezing
- Twin matter waves for interferometry beyond the classical limit
- Quantum noise limited and entanglement-assisted magnetometry
- Entanglement Certification From Theory to Experiment
- Experimental demonstration of a hyper-entangled ten-qubit Schrödinger cat state
- Generation and Confirmation of a (100x100)-dimensional entangled Quantum System
- Entanglement as precondition for secure quantum key distribution
- Spin-Nematic Squeezed Vacuum in a Quantum Gas
- Experimental realization of Dicke states of up to six qubits for multiparty quantum networking
- Quantum communication between atomic ensembles using coherent light
- Experimental entanglement of a six-photon symmetric Dicke state
- Experimental Observation of Four-Photon Entangled Dicke State with High Fidelity
- Scalable Spin Squeezing for Quantum-Enhanced Magnetometry with Bose-Einstein Condensates
- Spatial entanglement patterns and Einstein-Podolsky-Rosen steering in a Bose-Einstein condensate
- Detecting multiparticle entanglement of Dicke states
- Optimal spin squeezing inequalities detect bound entanglement in spin models
- Characterizing the entanglement of symmetric many-particle spin-1/2 systems
- Spatially distributed multipartite entanglement enables Einstein-Podolsky-Rosen steering of atomic clouds
- Spin squeezing and entanglement
- Bell Correlations in a Bose-Einstein Condensate
- Squeezing and entanglement of atomic beams
- Experimental Test of Quantum Nonlocality in Four-photon Greenberger-Horne-Zeilinger Entanglement
- Characterizing the entanglement of bipartite quantum systems
- Quantum metrology with a scanning probe atom interferometer
- Entanglement between two spatially separated atomic modes
- Entanglement Witnesses in Spin Models
- Spin squeezing of atomic ensembles via nuclear-electronic spin entanglement
- Extracting entanglement from identical particles
- Spin squeezing, entanglement and quantum metrology with Bose-Einstein condensates
- Beating the classical precision limit with spin-1 Dicke state of more than 10000 atoms
- Detection of multipartite entanglement in the vicinity of symmetric Dicke states
- Quantum entanglement of a large number of photons
- Entanglement and sensitivity in precision measurements with states of a fluctuating number of particles
- Measures of macroscopicity for quantum spin systems
- Useful Multiparticle Entanglement and Sub-Shot-Noise Sensitivity in Experimental Phase Estimation
- Energy as an Entanglement Witness for Quantum Many-Body Systems
- Spin squeezing inequalities for arbitrary spin
- Satisfying the Einstein-Podolsky-Rosen criterion with massive particles
- Quantum entanglement in spinor Bose-Einstein condensates
- Measurement-induced nonlocal entanglement in a hot, strongly-interacting atomic system
- Theory of an Entanglement Laser
- Quantifying high dimensional entanglement with two mutually unbiased bases
- EPR entanglement strategies in two-well BEC
- Preparation of Dicke States in an Ion Chain
- Spin squeezing and entanglement for arbitrary spin
- Generation of macroscopic singlet states in a cold atomic ensemble
- Entanglement Detection in Optical Lattices of Bosonic Atoms with Collective Measurements
- Multi-Photon Entanglement Concentration and Quantum Cryptography
- Nonlocality in many-body quantum systems detected with two-body correlators
- Generation of macroscopic singlet states in atomic ensembles
- Quantum Metrology with Dicke Squeezed States
- Entanglement detection in the vicinity of arbitrary Dicke states
- Entanglement Detection Based on Interference and Particle Counting
- Experimental Quantum Networking Protocols via Four-Qubit Hyperentangled Dicke States
- Entanglement and Extreme Spin Squeezing for a Fluctuating Number of Indistinguishable Particles
- Split spin-squeezed Bose-Einstein Condensates
- Bell correlations depth in many-body systems
- Optimal witnessing of the quantum Fisher information with few measurements
- Detecting metrologically useful entanglement in the vicinity of Dicke states
- Entanglement quantification in atomic ensembles
- Uncertainty relations with the variance and the quantum Fisher information based on convex decompositions of density matrices
- Entanglement and extreme spin squeezing of unpolarized states
- Bell correlations in a many-body system with finite statistics
- Uncertainty relations for the realisation of macroscopic quantum superpositions and EPR paradoxes
- Number operator-annihilation operator uncertainty as an alternative of the number-phase uncertainty relation
- Relating spin squeezing to multipartite entanglement criteria for particles and modes
- Strong micro-macro entanglement from a weak cross-Kerr nonlinearity
- Number-phase entanglement and Einstein-Podolsky-Rosen steering
- Quantifying the mesoscopic nature of the Einstein-Podolsky-Rosen nonlocality
- Quantum Theory and Local Hidden Variable Theory: General Features and Tests for EPR Steering
- Bipartite nonlocality with a many-body system
- Optimal entanglement witnesses in a split spin-squeezed Bose-Einstein condensate
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