Dynamics of Entanglement in One-Dimensional Spin Systems

Abstract

We study the dynamics of quantum correlations in a class of exactly solvable Ising-type models. We analyze in particular the time evolution of initial Bell states created in a fully polarized background and on the ground state. We find that the pairwise entanglement propagates with a velocity proportional to the reduced interaction for all the four Bell states. Singlet-like states are favored during the propagation, in the sense that triplet-like states change their character during the propagation under certain circumstances. Characteristic for the anisotropic models is the instantaneous creation of pairwise entanglement from a fully polarized state; furthermore, the propagation of pairwise entanglement is suppressed in favor of a creation of different types of entanglement. The ``entanglement wave'' evolving from a Bell state on the ground state turns out to be very localized in space-time. Further support to a recently formulated conjecture on entanglement sharing is given.

25 pages, 21 figures; revtex

References in corpus (28)

• Entanglement of Formation of an Arbitrary State of Two Qubits
• Mixed State Entanglement and Quantum Error Correction
• A computable measure of entanglement
• Concentrating Partial Entanglement by Local Operations
• Entanglement of a Pair of Quantum Bits
• Entanglement in quantum critical phenomena
• Distributed Entanglement
• Quantifying Entanglement
• Scaling of Entanglement close to a Quantum Phase Transitions
• Entanglement in a simple quantum phase transition
• Natural Thermal and Magnetic Entanglement in 1D Heisenberg Model
• Entanglement in the Quantum Heisenberg XY model
• Quantum limits to dynamical evolution
• Entangled Rings
• Thermal concurrence mixing in a 1D Ising model
• Probing Entanglement and Non-locality of Electrons in a Double-Dot via Transport and Noise
• Quantum entanglement and Bell inequalities in Heisenberg spin chains
• Thermal and ground-state entanglement in Heisenberg XX qubit rings
• Entanglement of two-mode Bose-Einstein condensates
• Quantum information and physics: some future directions
• Fermionic entanglement in itinerant systems
• The role of entanglement in dynamical evolution
• Dynamics of entanglement in quantum computers with imperfections
• Macroscopic entanglement in Josephson nanocircuits
• Entanglement Properties of Some Fractional Quantum Hall Liquids
• Quantum Disentanglement in Long-range Orders and Spontaneous Symmetry Breaking
• Out of equilibrium correlation functions of quantum anisotropic XY models: one-particle excitations
• Edge States and Entanglement Entropy

Cited by in corpus (179)

• Evolution of Entanglement Entropy in One-Dimensional Systems
• Dynamics of a Quantum Phase Transition and Relaxation to a Steady State
• Quantum Quenches in Extended Systems
• Quantum Communication through Spin Chain Dynamics: an Introductory Overview
• Entanglement and correlation functions following a local quench: a conformal field theory approach
• Entanglement Entropy dynamics in Heisenberg chains
• Spreading of correlations and entanglement after a quench in the one-dimensional Bose-Hubbard model
• Conclusive and arbitrarily perfect quantum state transfer using parallel spin chain channels
• Unmodulated spin chains as universal quantum wires
• Quantum coherence and uncertainty in the anisotropic XY chain
• Quantum discord and its allies: a review
• Spin Chains as Perfect Quantum State Mirrors
• Decoherence induced by interacting quantum spin baths
• Entanglement dynamics and quantum state transport in spin chains
• Perfect State Transfer, Effective Gates and Entanglement Generation in Engineered Bosonic and Fermionic Networks
• Studying quantum spin systems through entanglement estimators
• Perfect quantum state transfer with randomly coupled quantum chains
• Entanglement dynamics in the Lipkin-Meshkov-Glick model
• Quantum Correlations and Coherence in Spin-1 Heisenberg Chains
• Entanglement and factorized ground states in two-dimensional quantum antiferromagnets
• Random Matrix Theory and Entanglement in Quantum Spin Chains
• Entanglement in Quantum Spin Chains, Symmetry Classes of Random Matrices, and Conformal Field Theory
• Divergence of the entanglement range in low dimensional quantum systems
• Spatially Resolved Detection of a Spin-Entanglement Wave in a Bose-Hubbard Chain
• Propagation front of correlations in an interacting Bose gas
• Witnessing entanglement in quantum magnets using neutron scattering
• Entanglement Across a Transition to Quantum Chaos
• Quantifying and controlling entanglement in the quantum magnet Cs${}_2$CoCl${}_4$
• Optimal quantum chain communication by end gates
• Quantum Impurity Entanglement
• Excitation and Entanglement Transfer Versus Spectral Gap
• Quantum Otto heat engine based on a multiferroic chain working substance
• Factorization and Criticality in the Anisotropic XY Chain via Correlations
• Quantum cloning in spin networks
• Quantum state transfer in imperfect artificial spin networks
• Entanglement entropy of squeezed vacua on a lattice
• Time evolution of 1D gapless models from a domain-wall initial state: SLE continued?
• Probability density function characterization of multipartite entanglement
• Pairwise thermal entanglement in Ising-XYZ diamond chain structure in an external magnetic field
• Time Evolution within a Comoving Window: Scaling of signal fronts and magnetization plateaus after a local quench in quantum spin chains
• Preparation and Entanglement Purification of Qubits through Zeno-like Measurements
• Criticality, factorization and long-range correlations in the anisotropic XY-model
• Long-distance entanglement in many-body atomic and optical systems
• Energy and multipartite entanglement in multidimensional and frustrated spin models
• Quantum Ratchets for Quantum Communication with Optical Superlattices
• Area law and vacuum reordering in harmonic networks
• Local control of entanglement in a spin chain
• Quantum state transfer and time-dependent disorder in Quantum Chains
• Entanglement growth and simulation efficiency in one-dimensional quantum lattice systems
• Thermalization of entanglement
• Spin frustration of a spin-1/2 Ising-Heisenberg three-leg tube as an indispensable ground for thermal entanglement
• Boundary and impurity effects on entanglement of Heisenberg chains
• Dynamical phase transitions and temperature induced quantum correlations in an infinite spin chain
• Entanglement Resonance in Driven Spin Chains
• Magnetization process, bipartite entanglement and enhanced magnetocaloric effect of the exactly solved spin-1/2 Ising-Heisenberg tetrahedral chain
• Two-spin entanglement distribution near factorized states
• Symmetry breaking effects upon bipartite and multipartite entanglement in the XY model
• Spectral function of the $J_1-J_2$ Heisenberg model on the triangular lattice
• Thermal entanglement and sharp specific-heat peak in an exactly solved spin-1/2 Ising-Heisenberg ladder with alternating Ising and Heisenberg inter-leg couplings
• Witnessing Entanglement and Quantum Correlations in Condensed Matter: A Review
• Engineering correlation and entanglement dynamics in spin systems
• Thermal entanglement of spins in the Heisenberg model at low temperatures
• Transport of Quantum Correlations across a spin chain
• Entanglement localization by a single defect in a spin chain
• Reading entanglement in terms of spin configurations in quantum magnets
• Initializing an unmodulated spin chain to operate as a high quality quantum data-bus
• Quantum communication through a spin chain with interaction determined by a Jacobi matrix
• Nonergodicity of entanglement and its complementary behavior to magnetization in infinite spin chain
• Quantum Communication Through a Spin-Ring with Twisted Boundary Conditions
• Dynamics of entanglement in a one-dimensional Ising chain
• Disorder-assisted distribution of entanglement in $XY$ spin chains
• High-fidelity state transfer through long-range correlated disordered quantum channels
• Entanglement sharing: from qubits to Gaussian states
• Quantum entanglement dynamics and decoherence wave in spin chains at finite temperatures
• Persistent currents by reservoir engineering
• Entanglement of two delocalised electrons
• Characterization of separability and entanglement in $(2\times D)$- and $(3\times D)$-dimensional systems by single-qubit and single-qutrit unitary transformations
• Robust and Reliable Transfer of a Quantum State Through a Spin Chain
• A scheme for entanglement extraction from a solid
• Rabi oscillations, decoherence, and disentanglement in a qubit-spin-bath system: exact dynamics
• Wave packet transmission of Bloch electron manipulated by magnetic field
• Witnessing nonequilibrium entanglement dynamics in a strongly correlated fermionic chain
• Variance squeezing and entanglement of the XX central spin model
• Dynamics of entanglement in the transverse Ising model
• Detecting two-site spin-entanglement in many-body systems with local particle-number fluctuations
• Quantum entanglement in the neighborhood of pseudo-transition for a spin-1/2 Ising-XYZ diamond chain
• Entanglement dynamics following a sudden quench: an exact solution
• Entanglement in a spin system with inverse square statistical interaction
• Static and dynamical quantum correlations in phases of an alternating field XY model
• The high probability state transfers and entanglements between different nodes of the homogeneous spin 1/2 chain in inhomogeneous external magnetic field
• Witnessing Light-Driven Entanglement using Time-Resolved Resonant Inelastic X-Ray Scattering
• Creation and dynamics of remote spin-entangled pairs in the expansion of strongly correlated fermions in an optical lattice
• Interplay between speed and fidelity in off-resonant quantum-state transfer protocols
• Thermal entanglement in an orthogonal dimer-plaquette chain with alternating Ising-Heisenberg coupling
• Dynamics of entanglement between two harmonic modes in stable and unstable regimes
• When finite-size corrections vanish: The S=1/2 XXZ model and the Razumov-Stroganov state
• Entanglement robustness in Heisenberg spin chains coupled to dissipative environment at finite temperature
• Work statistics, irreversible heat and correlations build-up in joining two spin chains
• Quantum communication through anisotropic Heisenberg XY spin chains
• Quantum communication via a continuously monitored dual spin chain
• Casimir-Polder potentials as entanglement probe
• Magnetic excitations, non-classicality and quantum wake spin dynamics in the Hubbard chain
• Quenching Dynamics and Quantum Information
• Relationship between probabilities of the state transfers and entanglements in spin systems with simple geometrical configurations
• n-cluster models in a transverse magnetic field
• Staggered magnetization and entanglement enhancement by magnetic impurities in $S=1/2$ spin chain
• Direct versus measurement assisted bipartite entanglement in multi-qubit systems and their dynamical generation in spin systems
• Entanglement study of the 1D Ising model with Added Dzyaloshinsky-Moriya interaction
• Closed hierarchy of Heisenberg equations in integrable models with Onsager algebra
• Effects of the interplay between interaction and disorder in bipartite entanglement
• Interplay between spin frustration and thermal entanglement in the exactly solved Ising-Heisenberg tetrahedral chain
• Quantum state transfer through a spin chain in a multi-excitation subspace
• Thermodynamic behavior of the XXZ Heisenberg s=1/2 chain around the factorizing magnetic field
• Magnetization plateaus and bipartite entanglement of an exactly solved spin-1/2 Ising-Heisenberg orthogonal-dimer chain
• Entanglement and quantum state geometry of spin system with all-range Ising-type interaction
• Entanglement generation between distant parties via disordered spin chains
• Phase transitions and thermal entanglement of the distorted Ising-Heisenberg spin chain: topology of multiple-spin exchange interactions in spin ladders
• Transport and Entanglement Generation in the Bose-Hubbard Model
• Persistence of entanglement in thermal states of spin systems
• Entanglement and level crossings in frustrated ferromagnetic rings
• Entanglement propagation through spin chains in the presence of a staggered magnetic field
• Spin-entanglement wave in a coarse-grained optical lattice
• Engineering massive quantum memories by topologically time-modulated spin rings
• Dynamical pairwise entanglement and two-point correlations in the three-ligand spin-star structure
• Quench Dynamics of Entanglement in an Opened Anisotropic Spin-1/2 Heisenberg Chain
• Multipartite entanglement transfer in spin chains
• Survival of time-evolved correlations depends on whether quenching is across critical point in XY spin chain
• Dynamics and Asymptotics of Correlations in a Many-Body Localized System
• Insight into ground-state spin arrangement and bipartite entanglement of the polymeric coordination compound [Dy${}_2$Cu${}_2$]${}_n$ through the symmetric spin-1/2 Ising-Heisenberg orthogonal-dimer chain
• Entanglement Witness for Indistinguishable Electrons using Solid-State Spectroscopy
• Tutorial: Extracting entanglement signatures from neutron spectroscopy
• Entanglement Transfer via XXZ Heisenberg chain with DM Interaction
• Thermal entanglement of qubit pairs on the Shastry-Sutherland lattice
• Entanglement in alternating open spin-1/2 chains with XY-Hamiltonian
• Entanglement replication via quantum repeated interactions
• Thermalization through unitary evolution of pure states
• Entanglement entropy of two disjoint intervals separated by one spin in a chain of free fermion
• Entanglement creation and distribution on a graph of exchange-coupled qutrits
• Rise of pairwise thermal entanglement for an alternating Ising and Heisenberg spin chain in an arbitrarily oriented magnetic field
• Quantum correlations in Ising-XYZ diamond chain structure under an external magnetic field
• Dynamic generation of entangling wave packets in XY spin system with decaying long range couplings
• Fuzzy measurements and coarse graining in quantum many-body systems
• Entanglement of electron pairs extracted from a many-body system
• Thermal entanglement in the mixed-spin Ising-Heisenberg double sawtooth frustrated ladder
• Amplified multipartite entanglement witnessed in a quantum critical metal
• Entanglement in the Bogoliubov vacuum
• Entanglement generation resonances in XY chains
• Fading entanglement near equilibrium state
• Impurity entanglement through electron scattering in a magnetic field
• Duplex quantum communication through a spin chain
• Massive Quantum Memories by Periodically Inverted Dynamic Evolutions
• Infinite qubit rings with maximal nearest neighbor entanglement: the Bethe ansatz solution
• Exact dynamics of concurrence-based entanglement in a system of four spin-1/2 particles on a triangular ladder structure
• Unsaturated bipartite entanglement of a spin-1/2 Ising-Heisenberg model on a triangulated Husimi lattice
• Numerical studies of entanglement properties in one- and two-dimensional quantum Ising and XXZ models
• Partitioned Density Matrices and Entanglement Correlators
• Investigation of entanglement measures across the magnetization process of a highly frustrated spin-1/2 Heisenberg octahedral chain as a new paradigm of the localized-magnon approach
• Quantum phases of spin-1/2 extended XY model in transverse magnetic field
• Generation and distribution of atomic entanglement in coupled-cavity arrays
• Bipartite entanglement in the spin-1/2 Ising-Heisenberg planar lattice constituted of identical trigonal bipyramidal plaquettes
• Extractable energy from quantum superposition of current states
• Doubly excited ferromagnetic spin-chain as a pair of coupled kicked rotors
• Entanglement and its facets in condensed matter systems
• Relationship between the ground-state wave function of a magnet and its static structure factor
• A Chain-Boson Model for the Decoherence and Relaxation of a Few Coupled SQUIDs in a Phonon Bath
• Pairwise entanglement in double-tetrahedral chain with different Landé g-factors of the Ising and Heisenberg spins
• Generating GHZ state in 2m-qubit spin network
• Initial-state randomness as a universal source of decoherence
• Long-distance genuine multipartite Entanglement between Magnetic Defects in Spin Chains
• Ab-Initio Approach to Many-Body Quantum Spin Dynamics
• Entanglement dynamics in dissipative photonic Mott insulators
• Quantum energy transfer between nonlinearly-coupled bosonic bath and a fermionic chain: an exactly solvable model
• Magnetic phases of XY model with three-spin terms: interplay of topology and entanglement
• Quantum Liang Information Flow Probe of Causality across Critical Points
• Quantum Gates Between Distant Qubits via Spin-Independent Scattering
• Witnessing Disorder in Quantum Magnets
• Excitation and Entanglement Transfer Near Quantum Critical Points
• Bootstrapping entanglement in quantum spin systems
• Memory effects in repeated uses of quantum channels