Magnetic Susceptibility as a Macrosopic Entaglement Witness

Abstract

We show that magnetic susceptibility can reveal spin entanglement between individual constituents of a solid, while magnetisation describes their local properties. We then show that these two thermodynamical quantities satisfy complementary relation in the quantum-mechanical sense. It describes sharing of (quantum) information in the solid between spin entanglement and local properties of its individual constituents. Magnetic susceptibility is shown to be a macroscopic spin entanglement witness that can be applied without complete knowledge of the specific model (Hamiltonian) of the solid.

6 Pages, 2 figures, revtex4

References in corpus (3)

• Entanglement Witnesses in Spin Models
• Energy as an Entanglement Witness for Quantum Many-Body Systems
• Entanglement Observables and Witnesses for Interacting Quantum Spin Systems

Cited by in corpus (98)

• Quantum entanglement
• Entanglement detection
• The role of quantum information in thermodynamics --- a topical review
• Multipartite entanglement and high precision metrology
• Entanglement Certification $-$ From Theory to Experiment
• Optimal spin squeezing inequalities detect bound entanglement in spin models
• Spin squeezing and entanglement
• Equipartition of the Entanglement Entropy
• Multipartite entanglement detection from correlation tensors
• The Theory of Spin Noise Spectroscopy: A Review
• Spin squeezing inequalities for arbitrary spin
• Entanglement criteria based on local uncertainty relations are strictly stronger than the computable cross norm criterion
• Witnessing entanglement in quantum magnets using neutron scattering
• Experimental Determination of Thermal Entanglement in Spin Clusters using Magnetic Susceptibility Measurements
• Experimental evidence of non-classical brain functions
• Multipartite entanglement detection via structure factors
• Spin squeezing and entanglement for arbitrary spin
• Quantum Impurity Entanglement
• Heat Capacity as A Witness of Entanglement
• Planar quantum squeezing and atom interferometry
• Experimental observation of quantum entanglement in low dimensional spin systems
• Generation of macroscopic singlet states in atomic ensembles
• Experimental realisation of multipartite entanglement via quantum Fisher information in a uniform antiferromagnetic quantum spin chain
• Macroscopic singlet states for gradient magnetometry
• Energy and multipartite entanglement in multidimensional and frustrated spin models
• Multiparticle covariance matrices and the impossibility of detecting graph state entanglement with two-particle correlations
• Entanglement and Extreme Spin Squeezing for a Fluctuating Number of Indistinguishable Particles
• Entanglement and Bell's inequality violation above room temperature in metal carboxylates
• Thermal entanglement in the nanotubular system Na_2V_3O_7
• Induced effects of the Dzyaloshinskii-Moriya interaction on the thermal entanglement in spin-1/2 Heisenberg chains
• Entanglement entropy and entanglement witnesses in models of strongly interacting low-dimensional fermions
• Witnessing Entanglement and Quantum Correlations in Condensed Matter: A Review
• Entanglement versus energy in the entanglement transfer problem
• Evolution of spin entanglement and an entanglement witness in multiple-quantum NMR experiments
• Experimental Quantification of Entanglement Through Heat Capacity
• Entanglement temperature in molecular magnets composed of S-spin dimers
• Magnetic Entanglement in Spin-1/2 XX Chains
• Analysing quantum systems with randomised measurements
• Carboxylate based molecular magnet: one path toward achieving stable quantum correlations at room temperature
• Spin Entanglement in supramolecular structures
• Entanglement between Collective Operators in a Linear Harmonic Chain
• Tripartite thermal correlations in an inhomogeneous spin-star system
• Evidence for entanglement at high temperatures in an engineered molecular magnet
• Estimating entanglement of unknown states
• Genuine Tripartite Entanglement in a Spin-Star Network at Thermal Equilibrium
• Magnetic Properties and Thermal Entanglement on a Triangulated Kagome Lattice
• Quantum correlations in the 1D spin-1/2 Ising model with added Dzyaloshinskii-Moriya interaction
• Experimental implementation of a NMR entanglement witness
• Entanglement and magnetic order
• Entangled spin clusters: some special features
• Energy as witness of multipartite entanglement in spin clusters
• Towards the chemical tuning of entanglement in molecular nanomagnets
• Entanglement between smeared field operators in the Klein-Gordon vacuum
• Quantum Entanglement in Nitrosyl Iron Complexes
• Spin-glass behavior in single crystals of hetero-metallic magnetic warwickites $MgFeB{O}_4$, $M{g}_{0.5}C{o}_{0.5}FeB{O}_4$, and $CoFeB{O}_4$
• Thermal entanglement witness for materials with variable local spin lengths
• Detecting many-body Bell non-locality by solving Ising models
• Finite temperature reservoir engineering and entanglement dynamics
• Signature of Quantum Entanglement in NH4CuPO4.H2O
• Witnessing Macroscopic Entanglement in a Staggered Magnetic Field
• Quantification of Entanglement from Magnetic Susceptibility for a Heisenberg Spin 1/2 system
• Quantum Cooperation of Two Insects
• A Witness of Multipartite Entanglement Strata
• Dimerized ground states in spin-S frustrated systems
• Practical Entanglement Estimation for Spin-System Quantum Simulators
• Finite-Temperature Scaling of Magnetic Susceptibility and Geometric Phase in the XY Spin Chain
• Detection of entanglement between collective spins
• Experimental Evidences of Quantum Phase Transition in a Spin Cluster Compound
• Optimal entanglement witnesses: a scalable data-driven approach
• Non-classicality of spin structures in condensed matter: An analysis of Sr${}_{14}$Cu${}_{24}$O${}_{41}$
• Introduction to quantum entanglement in many-body systems
• Ground-state entanglement in coupled qubits
• Entanglement classification and \emph{non-k}-separability certification via Greenberger-Horne-Zeilinger-class fidelity
• Detection of entanglement in ultracold lattice gases
• Thermally stable multipartite entanglements in the frustrated Heisenberg hexagon
• Separability gap and large deviation entanglement criterion
• Geometry-induced entanglement in a mass-imbalanced few-fermion system
• Detecting Entanglement with Jarzynski's Equality
• Bose-Einstein condensation and entanglement in magnetic systems
• Infinite qubit rings with maximal nearest neighbor entanglement: the Bethe ansatz solution
• Entanglement Detection and Distillation for Arbitrary Bipartite Systems
• Correlation Minor Norms, Entanglement Detection and Discord
• Entanglement detection by Bragg scattering
• Entanglement detection in quantum materials with competing orders
• Entanglement distribution revealed by macroscopic observations
• Adiabatic freezing of long-range quantum correlations in spin chains
• Logarithmic negativity of the 1D antiferromagnetic spin-1 Heisenberg model with single-ion anisotropy
• Pairwise Entanglement and Geometric Phase in $d=2,3$-Dimensional Free-Fermion Lattice Systems
• Witnessing Disorder in Quantum Magnets
• Chaotic spin-spin entanglement on a recursive lattice
• Exact Solvability Of Entanglement For Arbitrary Initial State in an Infinite-Range Floquet System
• Few strongly interacting fermions of different mass driven in the vicinity of a critical point
• Spin Squeezing, Macrorealism and the Heisenberg uncertainty principle
• Thermal entanglement in $2\otimes 3$ Heisenberg chains via distance between states
• Time correlations from steady-state expectation values
• Micromagnons and long-range entanglement in ferrimagnetic ground states
• Evidencing Quantum Gravity with Thermodynamical Observables
• Interferometric Measurement of Local Spin-Fluctuations in a Quantum Gas