Thermal entanglement in a two-qubit Heisenberg XXZ spin chain under an inhomogeneous magnetic field

Abstract

The thermal entanglement in a two-qubit Heisenberg \emph{XXZ} spin chain is investigated under an inhomogeneous magnetic field \emph{b}. We show that the ground-state entanglement is independent of the interaction of \emph{z}-component $J_z$. The thermal entanglement at the fixed temperature can be enhanced when $J_z$ increases. We strictly show that for any temperature \emph{T} and $J_z$ the entanglement is symmetric with respect to zero inhomogeneous magnetic field, and the critical inhomogeneous magnetic field $b_c$ is independent of $J_z$. The critical magnetic field $B_c$ increases with the increasing $|b|$ but the maximum entanglement value that the system can arrive becomes smaller.

arXiv comment5 EPS figures

References in corpus (20)

• Quantum Computation with Quantum Dots
• Entanglement of a Pair of Quantum Bits
• Coupled quantum dots as quantum gates
• Quantum Communication Through an Unmodulated Spin Chain
• Perfect state transfer in quantum spin networks
• Universal Quantum Computation with the Exchange Interaction
• Natural Thermal and Magnetic Entanglement in 1D Heisenberg Model
• Entanglement in the Quantum Heisenberg XY model
• Hilbert space structure of a solid state quantum computer: two-electron states of a double quantum dot artificial molecule
• Entangled Rings
• Concatenating Decoherence Free Subspaces with Quantum Error Correcting Codes
• Enhanced the thermal Entanglement in Anisotropy XYZ Heisenberg Chain
• Effects of anisotropy on thermal entanglement
• 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 of spins in a nonuniform magnetic field
• Entanglement in quantum computers described by the XXZ model with defects
• Characterizing mixing and measurement in quantum mechanics
• Interplay between Zeeman Coupling and Swap Action in Spin-based Quantum Computer Models: Error Correction in Inhomogeneous Magnetic Fields
• Entanglement and decoherence in near-critical qubit chains

Cited by in corpus (41)

• The effect of spin-orbit interaction on entanglement of two-qubit Heisenberg XYZ systems in an inhomogeneous magnetic field
• Cavity-Heisenberg spin chain quantum battery
• Thermal entanglement in the anisotropic Heisenberg XXZ model with the Dzyaloshinskii-Moriya interaction
• Entanglement in the anisotropic Heisenberg XYZ model with different Dzyaloshinskii-Moriya interaction and inhomogeneous magnetic field
• Optimized dynamical control of state transfer through noisy spin chains
• Quantum Brownian Motion for Magnets
• Entanglement negativity and sudden death in the toric code at finite temperature
• Quantum correlations in spin models
• Measurement-induced disturbance and thermal entanglement in spin models
• Thermal entanglement and correlated coherence in two coupled double quantum dots systems
• Quantum teleportation via a two-qubit Heisenberg XXZ chain-effects of anisotropy and magnetic field
• Remote state preparation of two-component Bose-Einstein condensates
• Entanglement in a Time-Dependent Coupled XY Spin Chain in an External Magnetic Field
• Measurement-induced disturbance and thermal negativity of qutrit-qubit mixed spin chain
• Ergotropy and capacity optimization in Heisenberg spin-chain quantum batteries
• Effect of different Dzyaloshinskii-Moriya interactions on entanglement in the Heisenberg XYZ chain
• Effects of DM and KSEA interactions on entanglement, Fisher and Wigner-Yanase information correlations of two XYZ-Heisenberg-qubit states under a magnetic field
• Sudden death, birth and stable entanglement in a two-qubit Heisenberg XY spin chain
• The effects of nonlinear couplings and external magnetic field on the thermal entanglement in a two-spin-qutrit system
• Optimal teleportation via thermal entangled states of a two-qubit Heisenberg Chain
• Local quantum uncertainty of a two-qubit XY Heisenberg model with different Dzyaloshinskii-Moriya couplings
• Quantum coherence, quantum Fisher information and teleportation in the Ising-Heisenberg spin chain model of a heterotrimetallic Fe-Mn-Cu coordination polymer with magnetic impurity
• Mutual information and swap operation in the two-qubit Heisenberg model with Dzyaloshinskii-Moriya anisotropic antisymmetric interaction
• The entanglement in one-dimensional random XY spin chain with Dzyaloshinskii-Moriya interaction
• Thermal quantum coherence of two-qutrit Heisenberg XXZ model with Herring-Flicker coupling and Dzyaloshinskii-Moriya interaction under magnetic field
• The swap operation in the two-qubit Heisenberg XXZ model-effects of anisotropy and magnetic field
• Entanglement control in one-dimensional $s=1/2$ random XY spin chain
• An effective spin-1 Heisenberg chain in coupled cavities
• Classical correlation and quantum entanglement in the mixed-spin Ising-XY model with Dzyaloshinskii-Moriya interaction
• Thermal entanglement of qubit pairs on the Shastry-Sutherland lattice
• The Entanglement in Anisotropic Heisenberg XYZ Chain with inhomogeneous magnetic field
• Entanglement and coherence in a spin-s XXZ system under non-uniform fields
• Stroboscopic quantum nondemolition measurements for enhanced entanglement generation between atomic ensembles
• Entanglement and quantum phase transition in alternating XY spin chain with next-nearest neighbour interactions
• Maximization of thermal entanglement of arbitrarily interacting two qubits
• Detecting Entanglement with Jarzynski's Equality
• Bipartite entanglement in the spin-1/2 Ising-Heisenberg planar lattice constituted of identical trigonal bipyramidal plaquettes
• System-bath entanglement of noninteracting fermionic impurities: Equilibrium, transient, and steady-state regimes
• Thermal entanglement of superconducting qubits for arbitrary interaction strength
• Inducing critical phenomena in spin chains through sparse alternating fields
• Entanglement in a fermionic spin chain containing a single mobile boson under decoherence