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Revista Mexicana de Física

Thermal quantum correlations of spin chain with multiple interactions

Sodeif Ahadpour, Фороузан Мирмасоуди

Published Sep 1, 2020• 5 citations
Publisher

Abstract

In order to explore the impact of distance between spins on quantum correlation, we compute trace ditance discord (TDD) and spin squeezing in an anisotropic Heisenberg XYZ model with Dzyaloshinskii-Moriya interaction in the presence of the external magnetic field. It is valuable to investigate that how we can protect quantum correlations in system when the distance between the spins is promoted. We find that rich Dzyaloshinskii-Moriya interaction and low temperature can be effective for quantum correlations with increasing distance between spins. As, at sufficeintly low temperature In addition, the generated correlated channels are inspected to interchange the information between the system qubits applying the standard dense coding protocol; then, the dense coding capacity of the transmitted information is quantified. It is found that the strength Dzyaloshinskii-Moriya interaction and magnetic field have a great impact on the dynamics of the quantum correlations and, consequently, the quality of the generated channels to exchange the information. Therefore, the effect of Dzyaloshinskii-Moriya interaction for various strengths of temperature needs to be considered to have valid dense coding when distance of spin increases.

DOI
10.31349/revmexfis.66.692

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In order to explore the impact of distance between spins on quantum correlation, we compute trace ditance discord (TDD) and spin squeezing in an anisotropic Heisenberg XYZ model with Dzyaloshinskii-Moriya interaction in the presence of the external magnetic field. It is valuable to investigate that how we can protect quantum correlations in system when the distance between the spins is promoted. We find that rich Dzyaloshinskii-Moriya interaction and low temperature can be effective for quantum correlations with increasing distance between spins. As, at sufficeintly low temperature In addition, the generated correlated channels are inspected to interchange the information between the system qubits applying the standard dense coding protocol; then, the dense coding capacity of the transmitted information is quantified. It is found that the strength Dzyaloshinskii-Moriya interaction and magnetic field have a great impact on the dynamics of the quantum correlations and, consequently, the quality of the generated channels to exchange the information. Therefore, the effect of Dzyaloshinskii-Moriya interaction for various strengths of temperature needs to be considered to have valid dense coding when distance of spin increases.
We investigate the quantum correlations of a two-qubit XYZ Heisenberg spin-1/2 chain model with Dzyaloshinskii–Moriya interaction. The two-qubit system is considered in thermal equilibrium. The variations of logarithmic negativity, uncertainty-induced quantum nonlocality (UIN) and trace distance discord, versus the parameters characterizing the system, are analyzed. The results show that the UIN measure captures quantum correlations that cannot be revealed by entanglement and trace discord. We also show that the Dzyaloshinskii–Moriya interaction enhances the non-classical correlations between the spins and can weaken the undesirable destructive effects of thermal fluctuations. In addition, an entangled–unentangled phase transition can be detected from the behavior of logarithmic negativity.
In this paper, we investigate the pairwise quantum correlations in a two-qubit anisotropic Heisenberg model under the interplay of Calogero–Moser (CM) and Dzyaloshinsky–Moriya (DM) interactions in the presence of the homogeneous and inhomogeneous magnetic fields. We employ, respectively, the logarithmic negativity and local quantum uncertainty (LQU) to characterize the degree of entanglement and the amount of quantum correlations between the two parties of the considered system in equilibrium with a thermal reservoir. We analyze and compare the behaviors of the two quantum correlation quantifiers in the thermal state of the chain spin system and we discuss how relative distance between spins, equilibrium temperature, DM interaction coupling parameter and the external magnetic fields strengths influence the variations of both quantum correlation measures in such system.
We investigate the exact entanglement dynamics of a two-qubit Heisenberg XXZ chain with Dzyaloshinskii-Moriya (DM) interactions, interacting with an anisotropic spin bath in thermal equi- librium at a temperature T, driven by an external magnetic field B along the z-axis. We establish that, for an initially entangled qubit pair, the DM interactions generate entanglement and enhance the entanglement in the revival region. The effects of the DM interaction are also seen to be very important at high temperatures and for weak coupling between the two qubits where it is seen to preserve entanglement. These effects are weakened when the magnetic field B and the Heisenberg coupling are switched on. If the two-qubits are prepared in an initially separable state, the DM in- teraction instead has a negative effect on their entanglement. On a whole entanglement can better be preserve in the spin chain even at high temperatures by increases the external magnetic field B and the Heisenberg couplings, and by tuning the strength of the DM interaction.
We investigate the properties of thermal quantum correlations in an infinite spin-1/2 Ising–Heisenberg diamond chain with Dzyaloshinskii–Moriya (DM) interaction. The thermal quantum discord (TQD) and the thermal entanglement (TE) are discussed as two kinds of important methods to measure the quantum correlation, respectively. It is found that DM interaction plays an important role in the thermal quantum correlations of the system. It can enhance the thermal quantum correlations by increasing DM interaction. Furthermore, the thermal quantum correlations can be promoted by tuning the external magnetic field and the Heisenberg coupling parameter in the antiferromagnetic system. It is shown that the behaviors of TQD differ from those of TE. TQD is more robust against decoherence than TE. For the measurement of TQD, the "regrowth" phenomenon occurs in the ferromagnetic system. We also find that the anisotropy favors the thermal quantum correlations of the system with weak DM interaction.
We investigate the effect of Calogero-Moser (CM) type interactions on the thermal entanglement and teleportation in an anisotropic two-qubit Heisenberg XYZ system with Dzyaloshinskii-Moriya (Dz) interaction in the presence of the external magnetic field. In this regard, the system is designed and analytically solved. The final state density of the system is obtained, and the impact of the system parameters is investigated. The negativity is used to quantify the entanglement dynamics over the system. The generated entangled channels are examined to exchange the information between the system qubits using the standard teleportation protocol; then, the fidelity of the transmitted information is quantified. The effect of the system parameters (Dzyaloshinskii-Moriya, Spin-orbit coupling, CM type interaction, and magnetic field) in the dynamics of the entanglement and state transfer is investigated. Our results indicate that the strength coupling, Dzyaloshinskii-Moriya (Dz) interaction, and magnetic field have a great effect on the dynamics of the entanglement and, consequently, the quality of the generated channels to exchange the information. In addition, we observe that the entanglement of sudden death exists when the distance between the spins is increased.
We investigate the exact entanglement dynamics of a two-qubit Heisenberg XXZ chain with Dzyaloshinskii-Moriya (DM) interactions, interacting with an anisotropic spin bath in thermal equi- librium at a temperature T, driven by an external magnetic field B along the z-axis. We establish that, for an initially entangled qubit pair, the DM interactions generate entanglement and enhance the entanglement in the revival region. The effects of the DM interaction are also seen to be very important at high temperatures and for weak coupling between the two qubits where it is seen to preserve entanglement. These effects are weakened when the magnetic field B and the Heisenberg coupling are switched on. If the two-qubits are prepared in an initially separable state, the DM in- teraction instead has a negative effect on their entanglement. On a whole entanglement can better be preserve in the spin chain even at high temperatures by increases the external magnetic field B and the Heisenberg couplings, and by tuning the strength of the DM interaction.