Inherent quantum resources in stationary spin chains
arXiv:2405.16974 · doi:10.1103/PhysRevA.111.012417
Abstract
The standard way to generate many-body quantum correlations is via a dynamical protocol: an initial product state is transformed by interactions that generate non-classical correlations at later times. Here, we show that many-body Bell correlations are inherently present in the eigenstates of a variety of spin-1/2 chains. In particular, we show that the eigenstates and thermal states of the collective Lipkin-Meshkov-Glick model possess many-body Bell correlations. We demonstrate that the Bell correlations can take on quantized values that change discontinuously with variations in the total magnetization. Finally, we show that these many-body Bell correlations persist even in the presence of both diagonal and off-diagonal disorder.
12 pages, 6 figures, AAM
References in corpus (89)
- Quantum entanglement
- Bell nonlocality
- Quantum metrology with nonclassical states of atomic ensembles
- Observation of a Many-Body Dynamical Phase Transition with a 53-Qubit Quantum Simulator
- Programmable Quantum Simulations of Spin Systems with Trapped Ions
- The European Quantum Technologies Roadmap
- Generation and manipulation of Schrödinger cat states in Rydberg atom arrays
- Measuring out-of-time-order correlations and multiple quantum spectra in a trapped ion quantum magnet
- Quantum Steering
- Bell's theorem for general N-qubit states
- Quantum certification and benchmarking
- Separability criteria for genuine multiparticle entanglement
- 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
- Squeezed-Light Optical Magnetometry
- Bell Correlations in a Bose-Einstein Condensate
- Detecting non-locality in multipartite quantum systems with two-body correlation functions
- Entanglement entropy in the Lipkin-Meshkov-Glick model
- Spin squeezing inequalities and entanglement of qubit states
- Equivalence of critical scaling laws for many-body entanglement in the Lipkin-Meshkov-Glick model
- Dynamical quantum phase transitions in the dissipative Lipkin-Meshkov-Glick model and proposed realization in optical cavity QED
- Relating out-of-time-order correlations to entanglement via multiple-quantum coherences
- Realizing spin squeezing with Rydberg interactions in a programmable optical clock
- Entanglement dynamics in the Lipkin-Meshkov-Glick model
- Unified criteria for multipartite quantum nonlocality
- Theory of quantum system certification: a tutorial
- Scalable spin squeezing in a dipolar Rydberg atom array
- Roadmap for gallium arsenide spin qubits
- Roadmap on quantum nanotechnologies
- Partial separability and entanglement criteria for multiqubit quantum states
- Bell inequalities for continuous-variable correlations
- The quantum Ising chain for beginners
- Quantum thermodynamic cycle with quantum phase transition
- An Interaction-Driven Many-Particle Quantum Heat Engine: Universal Behavior
- Nonlocality in many-body quantum systems detected with two-body correlators
- Many-body nonlocality as a resource for quantum-enhanced metrology
- Many-body quantum heat engines with shortcuts to adiabaticity
- Circuit QED scheme for realization of the Lipkin-Meshkov-Glick model
- -body interactions between trapped ion qubits via spin-dependent squeezing
- One- and two-axis squeezing via laser coupling in an atomic Fermi-Hubbard model
- Experimental Quantum Networking Protocols via Four-Qubit Hyperentangled Dicke States
- Efficient -separability criteria for mixed multipartite quantum states
- Probing quantum correlations in many-body systems: a review of scalable methods
- Quantum correlations in the collective spin systems
- Engineering random spin models with atoms in a high-finesse cavity
- Separability criteria for several classes of -partite quantum states
- Bell correlations depth in many-body systems
- Programmable quantum simulations of bosonic systems with trapped ions
- Symmetry-breaking dynamics of the finite-size Lipkin-Meshkov-Glick model near ground state
- Quantum heat engine with long-range advantages
- Discriminating multi-partite entangled states
- Multipartite entanglement detection with minimal effort
- Quantum phase transition and critical fluctuations of an attractive Bose gas in a double well potential
- Producing and storing spin-squeezed states and Greenberger-Horne-Zeilinger states in a one-dimensional optical lattice
- Translationally invariant multipartite Bell inequalities involving only two-body correlators
- Detection of -partite entanglement and -nonseparability of multipartite quantum states
- Dissipative Dicke Model with Collective Atomic Decay: Bistability, Noise-Driven Activation and Non-Thermal First Order Superradiance Transition
- k-stretchability of entanglement, and the duality of k-separability and k-producibility
- One-axis twisting as a method of generating many-body Bell correlations
- Multi-Body Entanglement and Information Rearrangement in Nuclear Many-Body Systems
- Optimization of device-independent witnesses of entanglement depth from two-body correlators
- Bell correlations at Ising quantum critical points
- Entanglement and nonlocality in multi-particle systems
- Characterizing quantum correlations in spin chains
- Semi-device-independent certification of independent quantum state and measurement devices
- Generalized isotropic Lipkin-Meshkov-Glick models: ground state entanglement and quantum entropies
- Inferring Nonlinear Many-Body Bell Inequalities From Average Two-Body Correlations: Systematic Approach for Arbitrary Spin-j Ensembles
- Many-body enhancement in a spin-chain quantum heat engine
- Dissipative Dicke model with non-linear atom-photon interaction
- Engineering First-Order Quantum Phase Transitions for Weak Signal Detection
- Thermodynamics of Minimal Coupling Quantum Heat Engines
- Spin-squeezing and Dicke state preparation by heterodyne measurement
- Quantum coherence enables hybrid multitask and multisource regimes in autonomous thermal machines
- The quantum marginal problem for symmetric states: applications to variational optimization, nonlocality and self-testing
- Accelerating many-body entanglement generation by dipolar interactions in the Bose-Hubbard model
- Certification of quantum states with hidden structure of their bitstrings
- Josephson junctions, superconducting circuits, and qubit for quantum technologies
- Bell correlations at finite temperature
- Spin squeezing in open Heisenberg spin chains
- Genuine Multipartite Correlations Distribution in the Criticality of Lipkin-Meshkov-Glick Model
- Detecting Bell correlations in multipartite non-Gaussian spin states
- Certifying the quantum Fisher information from a given set of mean values: a semidefinite programming approach
- Generation of scalable many-body Bell correlations in spin chains with short-range two-body interactions
- Thermodynamic precision in the nonequilibrium exchange scenario
- Exploring spin-squeezing in the Mott insulating regime: role of anisotropy, inhomogeneity and hole doping
- Dicke States Generation via Selective Interactions in Dicke-Stark Model
- Robustness of non-locality in many-body open quantum systems
- Entanglement classification and \emph{non-k}-separability certification via Greenberger-Horne-Zeilinger-class fidelity