Multipartite Entanglement Signature of Quantum Phase Transitions
arXiv:cond-mat/0606337 · doi:10.1103/PhysRevLett.97.170401
Abstract
We derive a general relation between the non-analyticities of the ground state energy and those of a subclass of the multipartite generalized global entanglement (GGE) measure defined by T. R. de Oliveira et al. [Phys. Rev. A 73, 010305(R) (2006)] for many-particle systems. We show that GGE signals both a critical point location and the order of a quantum phase transition (QPT). We also show that GGE allows us to study the relation between multipartite entanglement and QPTs, suggesting that multipartite but not bipartite entanglement is favored at the critical point. Finally, using GGE we were able, at a second order QPT, to define a diverging entanglement length (EL) in terms of the usual correlation length. We exemplify this with the XY spin-1/2 chain and show that the EL is half the correlation length.
arXiv commentPublished version. Incorporates correction made in erratum
References in corpus (13)
- Entanglement of Formation of an Arbitrary State of Two Qubits
- A computable measure of entanglement
- Entanglement in quantum critical phenomena
- Scaling of Entanglement close to a Quantum Phase Transitions
- Entanglement in a simple quantum phase transition
- Global entanglement in multiparticle systems
- Quantum Phase Transitions and Bipartite Entanglement
- Entanglement versus Correlations in Spin Systems
- Localizable Entanglement
- Entanglement and factorized ground states in two-dimensional quantum antiferromagnets
- Genuine Multipartite Entanglement in Quantum Phase Transitions
- Macroscopic entanglement jumps in model spin systems
- Operational Classification and Quantification of Multipartite Entangled States
Cited by in corpus (83)
- Quantum correlations in spin chains at finite temperatures and quantum phase transitions
- Genuine quantum correlations in quantum many-body systems: a review of recent progress
- Quantum simulation of a system with competing two- and three-body interactions
- Ground-state fidelity in one-dimensional gapless model
- Direct observation of quantum criticality in Ising spin chains
- On reduced density matrices for disjoint subsystems
- An operational interpretation for multipartite entanglement
- Spotlighting quantum critical points via quantum correlations at finite temperatures
- Nonlocality and entanglement in the XY model
- Quantum Impurity Entanglement
- Factorization and Criticality in the Anisotropic XY Chain via Correlations
- Quantum coherence of planar spin models with Dzyaloshinsky-Moriya interaction
- Genuine Multipartite Entanglement Trends in Gapless-gapped Transitions of Quantum Spin Systems
- Entanglement of two blocks of spins in the critical Ising model
- Theory of Network Contractor Dynamics for Exploring Thermodynamic Properties of Two-dimensional Quantum Lattice Models
- Scaling of tripartite entanglement at impurity quantum phase transitions
- Symmetry breaking effects upon bipartite and multipartite entanglement in the XY model
- Multi-partite entanglement and quantum phase transition in the one-, two-, and three-dimensional transverse field Ising model
- Multipartite Entanglement Accumulation in Quantum States: Localizable Generalized Geometric Measure
- Quantum correlations, entanglement spectrum and coherence of two-particle reduced density matrix in the Extended Hubbard Model
- Multipartite entanglement after a quantum quench
- Multiparticle Entanglement in the Lipkin-Meshkov-Glick Model
- Spatial entanglement using a quantum walk on a many-body system
- Long-range multipartite entanglement close to a first order quantum phase transition
- Exactly Solvable Quasi-hermitian Transverse Ising Model
- Bound entanglement in the XY model
- Precise Determination of Quantum Critical Points by the Violation of the Entropic Area Law
- Interplay between quantum phase transitions and the behavior of quantum correlations at finite temperatures
- Global entanglement and quantum phase transitions in the transverse XY Heisenberg chain
- Spin-1/2 Heisenberg ladder: variation of entanglement and fidelity measures close to quantum critical points
- Phase Transition, Entanglement and Squeezing in a Triple-Well Condensate
- Characterizing Genuine Multisite Entanglement in Isotropic Spin Lattices
- Entanglement modes and topological phase transitions in superconductors
- Static and dynamical quantum correlations in phases of an alternating field XY model
- Quantum versus mean-field collapse in a many-body system
- Entanglement Entropy in Random Quantum Spin-S Chains
- Entanglement and local extremes at an infinite-order quantum phase transition
- Entanglement and magnetic order
- Probing the quantum phase transition in the Dicke model through mechanical vibrations
- Visualizing quantum phase transitions in the XXZ model via the quantum steering ellipsoid
- Correlation-induced coherence and its use in detecting quantum phase transitions
- Genuine tripartite entanglement in the non-interacting Fermi gas
- Suppression of the quantum collapse in binary bosonic gases
- Ground-State Entanglement in a Coupled-Cavity Model
- Entanglement study of the 1D Ising model with Added Dzyaloshinsky-Moriya interaction
- Entanglement signatures of the quantum phase transition induced by a magnetic impurity in a superconductor
- Quantum Critical Point and Entanglement in a Matrix Product Ground State
- Genuine Multipartite Correlations Distribution in the Criticality of Lipkin-Meshkov-Glick Model
- Quantum Chernoff Bound metric for the XY model at finite temperature
- Generalized Purity and Quantum Phase Transition for Bose-Einstein condensates in a Symmetric Double Well
- Detecting phase boundaries of quantum spin-1/2 XXZ ladder via bipartite and multipartite entanglement transitions
- Multipartite entanglement characterization of a quantum phase transition
- Entanglement in the dispersive interaction of trapped ions with a quantized field
- Random unitaries, Robustness, and Complexity of Entanglement
- Long-range multipartite quantum correlations and factorization in a one-dimensional spin-1/2 chain
- Genuine multipartite entanglement measures based on multi-party teleportation capability
- Phase transitions, entanglement and quantum noise interferometry in cold atoms
- Tutorial: Extracting entanglement signatures from neutron spectroscopy
- Entanglement in Weisskopf-Wigner theory of atomic decay in free space
- Detecting quantum critical points at finite temperature via quantum teleportation
- Thermodynamic Limit in the Two-qubit Quantum Rabi Model with Spin-Spin Coupling
- Detecting quantum critical points at finite temperature via quantum teleportation: further models
- Diagnosing Quantum Phases Using Long-Range Two-Site Quantum Resource Behaviors
- Analytical recursive method to ascertain multisite entanglement in doped quantum spin ladders
- Structure of quantum correlations in momentum space and off diagonal long range order in eta pairing and BCS states
- Momentum-space analysis of multipartite entanglement at quantum phase transitions
- Genuine multipartite entanglement verification with convolutional neural networks
- Tensor-network approach to compute genuine multisite entanglement in infinite quantum spin chains
- Entanglement and the Interplay between Staggered Fields and Couplings
- Finite temperature detection of quantum critical points: a comparative study
- Finite temperature detection of quantum critical points via internal quantum teleportation
- Foliated order parameter in a fracton phase transition
- Overlap with the Separable State and Phase Transition in the Dicke Model: Zero and Finite Temperature
- Entanglement and its facets in condensed matter systems
- Estimating phase transition of perturbed J1-J2 Heisenberg quantum chain in mixtures of ground and first excited states
- Conditional global entanglement in a Kosterlitz-Thouless quantum phase transition
- Geometric Entanglement in Valance-Bond-Solid state
- Study of quantum non-locality by CHSH function and its extension in disordered fermions
- Genuine -partite correlations and entanglement in the ground state of the Dicke model for interacting qubits
- Interconversion between block coherence and multipartite entanglement in many-body systems
- Multipartite quantum correlations in a two-mode Dicke model
- Tripartite State Characterization via Activated Bipartite Entanglement
- Long-range bipartite entanglement in XXZ spin chains with the exponential and power-law long-range interactions