Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of Hebei Normal University

Thermal Entanglement in Spin-dimer V~(4+) Model Under an Uniform Magnetic Field

Tao Chen

Published Jan 1, 2007• 0 citations
OpenAlex

Abstract

The thermal entanglement in spin-dimer V4+ model under an uniform magnetic field is analyzed,and it is found that thermal entanglement exits for both ferromagnetic and antiferromagnetic cases.In antiferromagnetic case,entanglement vanishes for anisotropic parameter value λ=0,while in ferromagnetic case,entanglement exits in the whole region of anisotropic parameter 0≤λ≤1.Concurrence variations with anisotropic parameter λ,magnetic field and temperature are evaluated.It is useful for solid-quantum calculation in future.

Related papers

THERMAL ENTANGLEMENT IN SPIN-DIMER V4+ WITH A MAGNETIC FIELD

Guofeng Zhang, Jiu‐Qing Liang

By means of the measure of entanglement called "concurrence" we study the entanglement in Heisenberg dimer single molecular magnets V4+ with a strong magnetic field and find that thermal entanglement exits for both ferromagnetic (FM) and antiferromagnetic (AFM) cases. In FM case entanglement vanishes for anisotropic parameter λ = 0 while in AFM case, entanglement exits in the whole region of anisotropic parameter 0 ≤ λ ≤ 1. Entanglement variations with anisotropic parameter λ, magnetic field B and temperature T are evaluated. We find a critical magnetic field at which the concurrence changes sharply from zero to maximum entanglement.

International Journal of Modern Physics B•Apr 20, 2003•0 citations

Thermal Entanglement in Spin-Dimer V 4+ with a Strong Magnetic Field

Zhang Guo-Feng, Liang Jiu-Qing, Qiwei Yan

We study the entanglement in Heisenberg dimer single molecular magnets V 4+ with a strong magnetic field by means of the measure of entanglement called ``concurrence'' and find that thermal entanglement exists for both the ferromagnetic (FM) and antiferromagnetic (AFM) cases. In the FM case, entanglement vanishes for anisotropic parameter λ = 0 while in the AFM case, entanglement exits in the whole region of anisotropic parameter 0⩽λ⩽1. Entanglement variations with anisotropic parameter λ, magnetic field B and temperature T are evaluated. We find a critical magnetic field at which the concurrence changes sharply from zero to maximum entanglement.

Chinese Physics Letters•Mar 26, 2003•14 citations

Thermal entanglement in the Heisenberg XXZ model under an inhomogeneous magnetic field

WU Ke-dong

We study the thermal entanglement in the two-qubit anisotropic XXZ model in the presence of an external inhomogeneous magnetic field along the z axis.Concurrence,the measurement of entanglement,is calculated.The effects of the anisotropic parameter Δ on the thermal entanglement are studied carefully for both the antiferromagnetic and ferromagnetic cases.The critical temperature Tc can also be controlled by the anisotropic parameter Δ.

Journal of Guizhou Normal University•Jan 1, 2009•0 citations

THERMAL ENTANGLEMENT IN THE ANISOTROPIC XXZ MODEL UNDER AN INHOMOGENEOUS MAGNETIC FIELD

WU Ke-dong, Bin Zhou

We investigate the thermal entanglement in the two-qubit anisotropic XXZ model in the presence of an external inhomogeneous magnetic field along the z axis. Concurrence, the measurement of entanglement is calculated. The effects of the anisotropic parameter Δ on the thermal entanglement are studied carefully for both the antiferromagnetic and ferromagnetic cases. The critical temperature Tc can also be controlled by the anisotropic parameter Δ.

International Journal of Modern Physics B•Jun 8, 2006•2 citations

Thermal entanglement in three-qubit Heisenberg models

Wang, X, Fu, H, A. I. Solomon

We study pairwise thermal entanglement in three-qubit Heisenberg models and obtain analytic expressions for the concurrence. We find that thermal entanglement is absent from both the antiferromagnetic XXZ model, and the ferromagnetic XXZ model with anisotropy parameter Δ≥1. Conditions for the existence of thermal entanglement are discussed in detail, as is the role of degeneracy and the effects of magnetic fields on thermal entanglement and the quantum phase transition. Specifically, we find that the uniform magnetic field can induce entanglement in the antiferromagnetic XXX model, but cannot induce entanglement in the ferromagnetic XXX model.

•May 16, 2001•108 citations

Thermal entanglement in three-qubit Heisenberg models

Xiaoguang Wang, Hongchen Fu, A. I. Solomon

We study pairwise thermal entanglement in three-qubit Heisenberg models and obtain analytic expressions for the concurrence. We find that thermal entanglement is absent from both the antiferromagnetic XXZ model, and the ferromagnetic XXZ model with anisotropy parameter Δ⩾1. Conditions for the existence of thermal entanglement are discussed in detail, as is the role of degeneracy and the effects of magnetic fields on thermal entanglement and the quantum phase transition. Specifically, we find that the uniform magnetic field can induce entanglement in the antiferromagnetic XXX model, but cannot induce entanglement in the ferromagnetic XXX model.

arXiv:quant-ph/0105075•Journal of Physics A Mathematical and General•Dec 19, 2001•144 citations
The thermal entanglement in spin-dimer V4+ model under an uniform magnetic field is analyzed,and it is found that thermal entanglement exits for both ferromagnetic and antiferromagnetic cases.In antiferromagnetic case,entanglement vanishes for anisotropic parameter value λ=0,while in ferromagnetic case,entanglement exits in the whole region of anisotropic parameter 0≤λ≤1.Concurrence variations with anisotropic parameter λ,magnetic field and temperature are evaluated.It is useful for solid-quantum calculation in future.
By means of the measure of entanglement called "concurrence" we study the entanglement in Heisenberg dimer single molecular magnets V4+ with a strong magnetic field and find that thermal entanglement exits for both ferromagnetic (FM) and antiferromagnetic (AFM) cases. In FM case entanglement vanishes for anisotropic parameter λ = 0 while in AFM case, entanglement exits in the whole region of anisotropic parameter 0 ≤ λ ≤ 1. Entanglement variations with anisotropic parameter λ, magnetic field B and temperature T are evaluated. We find a critical magnetic field at which the concurrence changes sharply from zero to maximum entanglement.
We study the entanglement in Heisenberg dimer single molecular magnets V 4+ with a strong magnetic field by means of the measure of entanglement called ``concurrence'' and find that thermal entanglement exists for both the ferromagnetic (FM) and antiferromagnetic (AFM) cases. In the FM case, entanglement vanishes for anisotropic parameter λ = 0 while in the AFM case, entanglement exits in the whole region of anisotropic parameter 0⩽λ⩽1. Entanglement variations with anisotropic parameter λ, magnetic field B and temperature T are evaluated. We find a critical magnetic field at which the concurrence changes sharply from zero to maximum entanglement.
We study pairwise thermal entanglement in three-qubit Heisenberg models and obtain analytic expressions for the concurrence. We find that thermal entanglement is absent from both the antiferromagnetic XXZ model, and the ferromagnetic XXZ model with anisotropy parameter Δ≥1. Conditions for the existence of thermal entanglement are discussed in detail, as is the role of degeneracy and the effects of magnetic fields on thermal entanglement and the quantum phase transition. Specifically, we find that the uniform magnetic field can induce entanglement in the antiferromagnetic XXX model, but cannot induce entanglement in the ferromagnetic XXX model.
We study pairwise thermal entanglement in three-qubit Heisenberg models and obtain analytic expressions for the concurrence. We find that thermal entanglement is absent from both the antiferromagnetic XXZ model, and the ferromagnetic XXZ model with anisotropy parameter Δ⩾1. Conditions for the existence of thermal entanglement are discussed in detail, as is the role of degeneracy and the effects of magnetic fields on thermal entanglement and the quantum phase transition. Specifically, we find that the uniform magnetic field can induce entanglement in the antiferromagnetic XXX model, but cannot induce entanglement in the ferromagnetic XXX model.