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

arXiv:0804.4820 · Journal of Physics Condensed Matter

Thermal entanglement in the anisotropic Heisenberg XXZ model with the Dzyaloshinskii–Moriya interaction

Da-Chuang Li, Xianping Wang, Zhuo‐Liang Cao

Published Jul 18, 2008• 68 citations
arXivHTMLPDF

Abstract

The thermal entanglement is investigated in a two-qubit Heisenberg XXZ system with Dzyaloshinskii–Moriya (DM) interaction. It is shown that the entanglement can be efficiently controlled by the DM interaction parameter and coupling coefficient J z . D x (the x -component parameter of the DM interaction) has a more remarkable influence on the entanglement and the critical temperature than D z (the z -component parameter of the DM interaction). Thus, by changing the DM interaction direction, we can get a more efficient control parameter to increase the entanglement and the critical temperature.

DOI
10.1088/0953-8984/20/32/325229

Related papers

Thermal Entanglement in the Anisotropic Heisenberg XYZ Model with Different Dzyaloshinskii–Moriya Couplings

Da-Chuang Li, Zhuo‐Liang Cao

Thermal entanglement is investigated in a two-qubit Heisenberg XYZ system with different Dzyaloshinskii–Moriya (DM) couplings. It is shown that different DM interaction parameters have different influences on the entanglement and the critical temperature. In addition, according to the relation between the real coupling coefficients J x and J z , a more efficient DM control parameter can be obtained by adjusting the direction of DM interaction.

Chinese Physics Letters•Feb 1, 2009•12 citations

Anisotropy and Dzyaloshinski-Moriya Interaction Effects on Thermal Entanglement of a (1/2,1) Mixed-Spin Heisenberg XXZ Model

Shou Zhang

Thermal entanglement of a(1/2,1) mixed-spin Heisenberg XXZ model in the presence of Dzyaloshinski-Moriya(DM) interaction and anisotropy Δ is investigated.It is shown that the thermal entanglement and the critical temperature can be efficiently controlled by adjusting the DM interaction parameter and anisotropy coefficient Δ.Thus,by changing the values of DM interaction and anisotropy coefficient Δ,we can get a more efficient control parameter to increase the entanglement and expand the steady value region to slow down the decreace of the entanglement.

Journal of Yanbian University•Jan 1, 2011•0 citations

EFFECT OF DIFFERENT DZYALOSHINSKII–MORIYA INTERACTIONS ON ENTANGLEMENT IN THE HEISENBERG XYZ CHAIN

Da-Chuang Li, Zhuo‐Liang Cao

In this paper, we study the thermal entanglement in a two-qubit Heisenberg XYZ system with different Dzyaloshinskii–Moriya (DM) couplings. We show that different DM coupling parameters have different influences on the entanglement and the critical temperature. In addition, we find that when Ji (i-component spin coupling interaction) is the largest spin coupling coefficient, Di (i-component DM interaction) is the most efficient DM control parameter, which can be obtained by adjusting the direction of DM interaction.

International Journal of Quantum Information•Mar 1, 2009•10 citations

Thermal entanglement in the four-qubit Heisenberg XXZ model with the Dzyaloshinskii-Moriya interaction

Zhang Ying-Li, Bin Zhou

In this paper, we study the property of thermal entanglement in four-qubit Heisenberg model, where Dzyaloshinskii-Moriya (DM) interaction is considered, and investigate the pairwise concurrences of two nearest-neighbor qubits and two next-neighbor qubits to study this entanglement property. The result shows that for the two-next-neighbor-qubit case, there exists pairwise concurrence neigher in ferromagnetic model nor in antiferromagnetic model; but for the two-nearest-neighbor-qubits case, the DM interaction and the parameter of the anisotropy exchange coupling have a significant influence on the pairwise entanglement and critical temperature Tc. Moreover, the pairwise concurrence will decrease with the increase of temperature. When the temperature execeds its critical value, the pairwise concurrence disappears. Therefore, the pairwise entanglement can be controlled and enhanced by choosing the appropriate parameters of the DM interaction and the anisotropy exchange coupling.

Acta Physica Sinica•Jan 1, 2011•9 citations

Entanglement in a three-qubit anisotropic HeisenbergXXZspin ring with Dzyaloshinskii–Moriya interaction

Ahmad Abliz, Jiangtao Cai, Guo‐Feng Zhang +1 more

We investigate the entanglement of a three-qubit anisotropic Heisenberg XXZ ring with Dzyaloshinskii–Moriya (DM) interaction in thermal equilibrium at temperature T in the presence of an external magnetic field B along the z-axis and obtain analytic expression for the concurrence, in which the dependence of the concurrence on the anisotropic coupling coefficient Jz, external magnetic field B, the DM interaction parameter D and temperature T is described. The DM interaction is found to have a more significant role than the others in increasing the critical temperature or the entanglement area. We also calculate the ground-state entanglement under various control parameters and give expressions for the quantum critical points at which quantum phase transition (QPT) takes place. These results show that one is able to produce, when it does not exist, or increase (up to some limit), when it exists, the concurrence so that the efficient control of entanglement by appropriate combinations of the tunable parameters may be possible.

Journal of Physics B Atomic Molecular and Optical Physics•Oct 14, 2009•19 citations

INFLUENCE OF ANISOTROPY AND MAGNETIC FIELD ON THERMAL ENTANGLEMENT IN HEISENBERG MODEL AND THERMODYNAMIC ANALYSIS OF MODEL

Milan R. Pantić, Nemanja Micić, Milica V. Pavkov-Hrvojević +2 more

The thermal entanglement in a two-qubit anisotropic Heisenberg XXZ system, also XYZ system, with Dzyaloshinskii-Moriya (DM) couplings in an inhomogenous magnetic field, was studied. The effects of these two kinds of anisotropies on the thermal entanglement have been studied in detail in the concept for concurrence, the measure of entanglement. The analytical expressions of concurrence are obtained for this model. It is found that the DM interaction can enhance thermal entanglement and can be efficiently controlled by the DM interaction parameter and ehchange interaction Jx, Jy and Jz. When D is large enough, the entanglement can exist for larger temperatures and strong magnetic field. We also analysed thermodynamic properties of Heisenberg model and the most important results were shown in the paper.

Contemporary Materials•Oct 10, 2017•0 citations
The thermal entanglement is investigated in a two-qubit Heisenberg XXZ system with Dzyaloshinskii–Moriya (DM) interaction. It is shown that the entanglement can be efficiently controlled by the DM interaction parameter and coupling coefficient J z . D x (the x -component parameter of the DM interaction) has a more remarkable influence on the entanglement and the critical temperature than D z (the z -component parameter of the DM interaction). Thus, by changing the DM interaction direction, we can get a more efficient control parameter to increase the entanglement and the critical temperature.
Thermal entanglement of a(1/2,1) mixed-spin Heisenberg XXZ model in the presence of Dzyaloshinski-Moriya(DM) interaction and anisotropy Δ is investigated.It is shown that the thermal entanglement and the critical temperature can be efficiently controlled by adjusting the DM interaction parameter and anisotropy coefficient Δ.Thus,by changing the values of DM interaction and anisotropy coefficient Δ,we can get a more efficient control parameter to increase the entanglement and expand the steady value region to slow down the decreace of the entanglement.
In this paper, we study the thermal entanglement in a two-qubit Heisenberg XYZ system with different Dzyaloshinskii–Moriya (DM) couplings. We show that different DM coupling parameters have different influences on the entanglement and the critical temperature. In addition, we find that when Ji (i-component spin coupling interaction) is the largest spin coupling coefficient, Di (i-component DM interaction) is the most efficient DM control parameter, which can be obtained by adjusting the direction of DM interaction.
In this paper, we study the property of thermal entanglement in four-qubit Heisenberg model, where Dzyaloshinskii-Moriya (DM) interaction is considered, and investigate the pairwise concurrences of two nearest-neighbor qubits and two next-neighbor qubits to study this entanglement property. The result shows that for the two-next-neighbor-qubit case, there exists pairwise concurrence neigher in ferromagnetic model nor in antiferromagnetic model; but for the two-nearest-neighbor-qubits case, the DM interaction and the parameter of the anisotropy exchange coupling have a significant influence on the pairwise entanglement and critical temperature Tc. Moreover, the pairwise concurrence will decrease with the increase of temperature. When the temperature execeds its critical value, the pairwise concurrence disappears. Therefore, the pairwise entanglement can be controlled and enhanced by choosing the appropriate parameters of the DM interaction and the anisotropy exchange coupling.
We investigate the entanglement of a three-qubit anisotropic Heisenberg XXZ ring with Dzyaloshinskii–Moriya (DM) interaction in thermal equilibrium at temperature T in the presence of an external magnetic field B along the z-axis and obtain analytic expression for the concurrence, in which the dependence of the concurrence on the anisotropic coupling coefficient Jz, external magnetic field B, the DM interaction parameter D and temperature T is described. The DM interaction is found to have a more significant role than the others in increasing the critical temperature or the entanglement area. We also calculate the ground-state entanglement under various control parameters and give expressions for the quantum critical points at which quantum phase transition (QPT) takes place. These results show that one is able to produce, when it does not exist, or increase (up to some limit), when it exists, the concurrence so that the efficient control of entanglement by appropriate combinations of the tunable parameters may be possible.
The thermal entanglement in a two-qubit anisotropic Heisenberg XXZ system, also XYZ system, with Dzyaloshinskii-Moriya (DM) couplings in an inhomogenous magnetic field, was studied. The effects of these two kinds of anisotropies on the thermal entanglement have been studied in detail in the concept for concurrence, the measure of entanglement. The analytical expressions of concurrence are obtained for this model. It is found that the DM interaction can enhance thermal entanglement and can be efficiently controlled by the DM interaction parameter and ehchange interaction Jx, Jy and Jz. When D is large enough, the entanglement can exist for larger temperatures and strong magnetic field. We also analysed thermodynamic properties of Heisenberg model and the most important results were shown in the paper.