Entanglement in the Quantum Heisenberg XY model

Abstract

We study the entanglement in the quantum Heisenberg XY model in which the so-called W entangled states can be generated for 3 or 4 qubits. By the concept of concurrence, we study the entanglement in the time evolution of the XY model. We investigate the thermal entanglement in the two-qubit isotropic XY model with a magnetic field and in the anisotropic XY model, and find that the thermal entanglement exists for both ferromagnetic and antiferromagnetic cases. Some evidences of the quantum phase transition also appear in these simple models.

7 pages, 6 figs, revised version submitted to Phys. Rev. A

Cited by in corpus (189)

• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Scaling of Entanglement close to a Quantum Phase Transitions
• Entanglement in a simple quantum phase transition
• Local entanglement and quantum phase transition in the Hubbard model
• Entanglement and quantum phase transition in the extended Hubbard model
• Information Scrambling in Computationally Complex Quantum Circuits
• Dynamics of Entanglement in One-Dimensional Spin Systems
• Thermal concurrence mixing in a 1D Ising model
• Realization of high-fidelity CZ and ZZ-free iSWAP gates with a tunable coupler
• Entanglement, quantum phase transition and scaling in XXZ chain
• Thermal entanglement in a two-qubit Heisenberg XXZ spin chain under an inhomogeneous magnetic field
• Quantum discord and its allies: a review
• Energetics of quantum correlations
• Quantum entanglement and Bell inequalities in Heisenberg spin chains
• Enhanced the thermal Entanglement in Anisotropy XYZ Heisenberg Chain
• Entanglement as a signature of quantum chaos
• Thermal and ground-state entanglement in Heisenberg XX qubit rings
• Threshold temperature for pairwise and many-particle thermal entanglement in the isotropic Heisenberg model
• Teleportation via thermally entangled state of a two-qubit Heisenberg XX chain
• Entanglement teleportation via thermally entangled states of two-qubit Heisenberg XX chain
• Thermal entanglement in three-qubit Heisenberg models
• Bipartite maximally entangled nonorthorgonal states
• Thermal entanglement of spins in a nonuniform magnetic field
• Long-range interacting many-body systems with alkaline-earth-metal atoms
• Fermionic entanglement in itinerant systems
• Entangled state preparation via dissipation-assisted adiabatic passages
• Energy as an Entanglement Witness for Quantum Many-Body Systems
• Non-Markovian reduced dynamics and entanglement evolution of two coupled spins in a quantum spin environment
• Macroscopic entanglement jumps in model spin systems
• Multipartite entangled states in coupled quantum dots and cavity-QED
• Nonequilibrium thermal entanglement
• Simulating Quantum Materials with Digital Quantum Computers
• Entanglement in quantum computers described by the XXZ model with defects
• Entanglement Observables and Witnesses for Interacting Quantum Spin Systems
• Thermal entanglement in the anisotropic Heisenberg XXZ model with the Dzyaloshinskii-Moriya interaction
• Entanglement Evolution in the Presence of Decoherence
• Quantum cloning in spin networks
• Entanglement of electron spins of non-interacting electron gases
• Impurity Scattering Induced Entanglement of Ballistic Electrons
• Thermal Entanglement between Alternate Qubits of a Four-qubit Heisenberg XX Chain in a Magnetic Field
• Thermal entanglement properties of small spin clusters
• Steady-state entanglement and coherence of the coupled qubit system in equilibrium and nonequilibrium environments
• Thermal Entanglement in Ferrimagnetic Chains
• Local Entanglement and quantum phase transition in spin models
• Pairwise entanglement in the XX model with a magnetic impurity
• Teleportation via thermally entangled state of a three-qubit Heisenberg XX ring
• Boundary and impurity effects on entanglement of Heisenberg chains
• Dynamics of entanglement in quantum computers with imperfections
• Thermal entanglement of one-dimensional Heisenberg quantum spin chains in magnetic fields
• Quantum correlations in spin models
• Universality in the entanglement structure of ferromagnets
• Symmetry breaking effects upon bipartite and multipartite entanglement in the XY model
• Exactly solvable time-dependent models of two interacting two-level systems
• Multi-partite entanglement and quantum phase transition in the one-, two-, and three-dimensional transverse field Ising model
• Measurement-induced disturbance and thermal entanglement in spin models
• Entangled two atoms through different couplings and the thermal noise
• Induced effects of the Dzyaloshinskii-Moriya interaction on the thermal entanglement in spin-1/2 Heisenberg chains
• Entanglement and Quantum Phases in the Anisotropic Ferromagnetic Heisenberg Chain in the Presence of Domain Walls
• Entanglement in spin-one Heisenberg chains
• Entangled quantum Otto heat engines based on two-spin systems with the Dzyaloshinski-Moriya interaction
• Thermal entanglement of spins in the Heisenberg model at low temperatures
• Global entanglement in XXZ chains
• Probabilistic quantum teleportation via thermal entanglement
• Quantifying Entanglement Production of Quantum Operations
• On multiparticle W states, their implementations and applications in quantum information problems
• Equilibrium entanglement vanishes at finite temperature
• Global thermal entanglement in n-qubit systems
• Nonequilibrium thermal entanglement in three-qubit $XX$ model
• Magnetic Entanglement in Spin-1/2 XX Chains
• Entanglement and spin squeezing in the three-qubit transverse Ising model
• Realization of symmetric sharing of entanglement in semiconductor microcrystallites coupled by a cavity field
• Entanglement Teleportation Through 1D Heisenberg Chain
• Spin frustration and fermionic entanglement in an exactly solved hybrid diamond chain with the localized Ising spins and mobile electrons
• Quantum entanglement dynamics and decoherence wave in spin chains at finite temperatures
• Entanglement properties in (1/2,1) mixed-spin Heisenberg systems
• Interplay between quantum phase transitions and the behavior of quantum correlations at finite temperatures
• Entanglement in stationary nonequilibrium states at high energies
• Measurement-induced disturbance and thermal negativity of qutrit-qubit mixed spin chain
• On the effects of an impurity in an Ising-$XXZ$ diamond chain on the thermal entanglement, on the quantum coherence and on the quantum teleportation
• High-fidelity entanglement purification using chains of atoms and optical cavities
• Improving autonomous thermal entanglement generation using a common reservoir
• Separability conditions and limit temperatures for entanglement detection in two qubit Heisenberg XYZ models
• Thermal entanglement in a two-spin-qutrit system under a nonuniform external magnetic field
• Enhancement of thermal entanglement in two-qubit XY models
• Dynamical entanglement purification using chains of atoms and optical cavities
• Mode entanglement of electrons in the one-dimensional Frenkel-Kontorova model
• Entanglement in a Two-Qubit Ising Model Under a Site-Dependent External Magnetic Field
• Easy implementable algorithm for the geometric measure of entanglement
• Magnetic Properties and Thermal Entanglement on a Triangulated Kagome Lattice
• Phase diagram of a Bose-Fermi mixture in a one-dimensional optical lattice in terms of fidelity and entanglement
• Dynamics of two qubits in a spin-bath of Quantum anisotropic Heisenberg XY coupling type
• Scalable generation and detection of on-demand W states in nanophotonic circuits
• Radiative properties of a linear chain of coupled qubits
• Nonequilibrium thermal entanglement for three-spin chain
• Sudden death, birth and stable entanglement in a two-qubit Heisenberg XY spin chain
• Quantum correlations in the 1D spin-1/2 Ising model with added Dzyaloshinskii-Moriya interaction
• Entanglement in thermal equilibrium states
• The effects of nonlinear couplings and external magnetic field on the thermal entanglement in a two-spin-qutrit system
• Entanglement in the One-dimensional Kondo Necklace Model
• Entangled spin clusters: some special features
• Fermionic concurrence in the extended Hubbard dimer
• Thermal entanglement between non-nearest-neighbor spins on fractal lattices
• Local quantum uncertainty of a two-qubit XY Heisenberg model with different Dzyaloshinskii-Moriya couplings
• The effect of dipole-dipole interaction on tripartite entanglement in different cavities
• Many-body reduced fidelity susceptibility in Lipkin-Meshkov-Glick model
• Entanglement between distant qubits in cyclic XX chains
• Thermal entanglement in fully connected spin systems and its RPA description
• Analytical results for entanglement in the five-qubit anisotropic Heisenberg model
• Witnessing Macroscopic Entanglement in a Staggered Magnetic Field
• Quantum Energy Teleportation between Spin Particles in a Gibbs State
• Entanglement and quantum phase transition in quantum mixed spin chains
• Bipartite entanglement and localization of one-particle states
• Entanglement study of the 1D Ising model with Added Dzyaloshinsky-Moriya interaction
• On the Use of Quantum Entanglement in Secure Communications: A Survey
• The entanglement dynamics of interacting qubits embedded in a spin environment with Dzyaloshinsky-Moriya term
• Effects of anisotropy on optimal dense coding
• Quantum correlation in three-qubit Heisenberg model with Dzyaloshinskii-Moriya interaction
• Two qubits can be entangled in two distinct temperature regions
• Entanglement without nonlocality
• Swapping and permutation operators as entanglement witnesses for quantum Heisenberg spin-$s$ systems
• Three-qubit Thermal Entanglement via Entanglement Swapping on Two-qubit Heisenberg XY chains
• Effects of the interplay between interaction and disorder in bipartite entanglement
• The entanglement in one-dimensional random XY spin chain with Dzyaloshinskii-Moriya interaction
• Magnetic phase diagram of a spin-1/2 XXZ chain with modulated Dzyaloshinskii-Moriya interaction
• Influence of equilibrium and nonequilibrium environments on macroscopic realism through the Leggett-Garg inequalities
• Thermal quantum coherence of two-qutrit Heisenberg XXZ model with Herring-Flicker coupling and Dzyaloshinskii-Moriya interaction under magnetic field
• Super-statistics and quantum entanglement in the isotropic spin-1/2 XX dimmer from a non-additive thermodynamics perspective
• Quantum probabilities and entanglement for multimode quantum systems
• Entanglement versus energy in quantum spin models
• Dynamical pairwise entanglement and two-point correlations in the three-ligand spin-star structure
• Entanglement in spin-1/2 dimerized Heisenberg systems
• Localized Entanglement in one-dimensional Anderson model
• Entanglement dynamics of two-qubit system in different types of noisy channels
• Entanglement control in one-dimensional $s=1/2$ random XY spin chain
• Spin squeezing and concurrence
• An effective spin-1 Heisenberg chain in coupled cavities
• Certificates of quantum many-body properties assisted by machine learning
• Thermal entanglement of Hubbard dimers in the nonextensive statistics
• Entanglement Transfer via XXZ Heisenberg chain with DM Interaction
• The Entanglement in Anisotropic Heisenberg XYZ Chain with inhomogeneous magnetic field
• Quantum thermalization and vanishing thermal entanglement in the open Jaynes-Cummings model
• Efficient entanglement generation and detection of generalized stabilizer states
• Heat current and entropy production rate in local non-Markovian quantum dynamics of global Markovian evolution
• Thermal entanglement of qubit pairs on the Shastry-Sutherland lattice
• Entanglement in a three spin system controlled by electric and magnetic field
• Multipartite entangled states with two bosonic modes and qubits
• Entanglement and coherence in a spin-s XXZ system under non-uniform fields
• Effects of environmental parameters to total, quantum and classical correlations
• Violation of Bell inequality for thermal states of interaction qubits via a multi-qubit Heisenberg model
• Entanglement of electron pairs extracted from a many-body system
• Entanglement and quantum phase transition in alternating XY spin chain with next-nearest neighbour interactions
• Dynamical quantum repeater using cavity-QED and optical coherent states
• Entanglement in Anderson Nanoclusters
• Entanglement oscillations in open Heisenberg chains
• Continuous dynamical decoupling of spin chains: modulating the spin-environment and spin-spin interactions
• Quantum thermalization and thermal entanglement in the open quantum Rabi model
• Exact dynamics of concurrence-based entanglement in a system of four spin-1/2 particles on a triangular ladder structure
• Entanglement dynamics and fractional quantum state transport in the spin-$\frac{1}{2}$ triangular plaquette
• Entanglement versus Bell nonlocality of quantum nonequilibrium steady states
• Pairwise quantum discord for a symmetric multi-qubit system in different types of noisy channels
• Exact Entanglement dynamics in Three Interacting Qubits
• Thermal coherence of the Heisenberg model with Dzyaloshinsky-Moriya interactions in an inhomogenous external field
• Relationship between the ground-state wave function of a magnet and its static structure factor
• Universal behavior of the geometric entanglement measure of many-qubit W states
• Entanglement dynamics of two qubits under the influence of external kicks and Gaussian pulses
• An Ideal Channel of Long Distance Entanglement in Spin Systems
• Control and manipulation of entanglement between two coupled qubits by fast pulses
• Thermal entanglement in a two-qubit Ising chain subjected to Dzialoshinski-Moriya interaction
• Quantum phase transition in one-dimensional commensurate Frenkel-Kontorova model
• Two Qubit Entanglement in $XYZ$ Magnetic Chain with DM Antisymmetric Anisotropic Exchange Interaction
• Interaction of a single mode field cavity with the 1D XY model: Energy spectrum
• A density-matrix renormalization group Study of one-dimensional incommensurate quantum Frenkel-Kontorova model
• Continuous Dimer Angles on the Silicon Surface: Critical Properties and the Kibble-Zurek Mechanism
• Quantum nonlocality of Heisenberg XX model with Site-dependent Coupling Strength
• Persistent spin current and entanglement in the anisotropic spin ring i
• Quantum Separability of Thermal Spin One Boson Systems
• Quantum and classical correlations and Werner states in finite spin linear arrays
• Error analysis of the density-matrix renormalization group algorithm for a chain of harmonic oscillators
• Mutual information-energy inequality for thermal states of a bipartite quantum system
• Quantum Phase Transition in Dimerized Spin-1/2 Chains
• Quantum heat machines enabled by twisted geometry
• A study on the relations between the topological parameter and entanglement
• Quantum Entanglement Control in Two-Spin-1/2 NMR Systems Through Magnetic Fields and Temperature
• Entanglement and its applications in systems with many degrees of freedom
• Generation of non-local evolution loops and exchange operations for quantum control in three dimensional anisotropic Ising model
• Magnetoelastic control of quantum correlations and field sensitivity in a spin-1/2 Heisenberg dimer
• Non-Hermiticity induced thermal entanglement phase transition
• Non-local spin entanglement in a fermionic chain
• Geometric Measure of Entanglement and Schmidt Decomposition of Multipartite Systems