Entanglement and magnetic order

Abstract

In recent years quantum statistical mechanics have benefited of cultural interchanges with quantum information science. There is a bulk of evidence that quantifying the entanglement allows a fine analysis of many relevant properties of many-body quantum systems. Here we review the relation between entanglement and the various type of magnetic order occurring in interacting spin systems.

29 pages, 10 eps figures. Review article for the special issue "Entanglement entropy in extended systems" in J. Phys. A, edited by P. Calabrese, J. Cardy and B. Doyon

References in corpus (40)

• Multi-party entanglement in graph states
• General Monogamy Inequality for Bipartite Qubit Entanglement
• Quantum Phase Transitions and Bipartite Entanglement
• Entanglement versus Correlations in Spin Systems
• Diverging Entanglement Length in Gapped Quantum Spin Systems
• Multipartite entanglement, quantum-error-correcting codes, and entangling power of quantum evolutions
• Entanglement in a second order quantum phase transition
• Localizable Entanglement
• Multipartite entanglement in spin chains
• Spin squeezing and entanglement
• Scaling laws for the decay of multiqubit entanglement
• Constructing N-qubit entanglement monotones from anti-linear operators
• Equivalence of critical scaling laws for many-body entanglement in the Lipkin-Meshkov-Glick model
• Long-distance entanglement in spin systems
• Multipartite Entanglement Signature of Quantum Phase Transitions
• Entanglement and Quantum Phase Transition Revisited
• Inductive Entanglement Classification of Four Qubits under SLOCC
• Entanglement and factorized ground states in two-dimensional quantum antiferromagnets
• Divergence of the entanglement range in low dimensional quantum systems
• Universal geometric entanglement close to quantum phase transitions
• Entanglement monotones and maximally entangled states in multipartite qubit systems
• Separability and ground state factorization in quantum spin systems
• On polynomial invariants of several qubits
• Thermal bound entanglement in macroscopic systems and area laws
• Probability density function characterization of multipartite entanglement
• Entanglement of finite cyclic chains at factorizing fields
• Thermal Entanglement in Ferrimagnetic Chains
• Local Measures of Entanglement and Critical Exponents at Quantum Phase Transitions
• Distillable entanglement and area laws in spin and harmonic-oscillator systems
• Geometric Entanglement in a One-Dimensional Valence Bond Solid State
• A scalar two-level boson model to study the IBM phase diagram in the Casten triangle
• Symmetry breaking effects upon bipartite and multipartite entanglement in the XY model
• Ground-state factorization and quantum phase transition in dimerized spin chains
• Global entanglement in XXZ chains
• Quantum instability and edge entanglement in a quasi-long-range order
• Enhancement of pairwise entanglement from $\mathbbm{Z}_2$ symmetry breaking
• Global thermal entanglement in n-qubit systems
• Bound entanglement in the XY model
• Entangled spin clusters: some special features
• Witnessing Macroscopic Entanglement in a Staggered Magnetic Field

Cited by in corpus (16)

• Entanglement entropy and conformal field theory
• Fingerprints of spin-orbital entanglement in transition metal oxides
• Long-range quantum discord in critical spin systems
• Entanglement Entropy of Fermi Liquids via Multi-dimensional Bosonization
• Ground state factorization and correlations with broken symmetry
• Quantum discord in the ground state of spin chains
• Probabilistic quantum teleportation via thermal entanglement
• Ground-state fidelity of the spin-1 Heisenberg chain with single ion anisotropy: quantum renormalization group and exact diagonalization approaches
• Interplay between quantum phase transitions and the behavior of quantum correlations at finite temperatures
• Magnetic Properties and Thermal Entanglement on a Triangulated Kagome Lattice
• Entanglement in a spin system with inverse square statistical interaction
• Entanglement complexity of the Rokhsar-Kivelson-sign wavefunctions
• Quantum critical phase diagram of bond alternating Ising model with Dzyaloshinskii-Moriya interaction: signature of ground state fidelity
• Lower and upper bounds on the fidelity susceptibility
• Quantum phase transitions in the Kondo-necklace model: Perturbative continuous unitary transformation approach
• Quantum-classical equivalence and ground-state factorization