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arXiv:2112.10344 · Results in Physics

The effect of acceleration parameter on thermal entanglement and teleportation of a two-qubit Heisenberg XXX model with Dzyaloshinski-Moriya interaction in non-inertial frames

Chuan Mo, Guo‐Feng Zhang

Published Dec 29, 2020• 10 citations
arXivHTMLPDF

Abstract

Thermal entanglement and teleportation properties in non-inertial frames are investigated when a two-qubit Heisenberg XXX model with Dzyaloshinski-Moriya (DM) interaction is used as the quantum channel. We find that thermal entanglement and teleportation fidelity decrease with the acceleration parameter or temperature, in other words, the entanglement teleportation of a teleported state will degenerate in non-inertial frames. Furthermore, our results also show that the average fidelity may be promoted by DM interaction for the ferromagnetic case, which is opposite to the antiferromagnetic case in non-inertial frames, although diminished by acceleration parameter, and their influence can be counteracted.

DOI
10.1016/j.rinp.2020.103759

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Thermal entanglement and teleportation properties in non-inertial frames are investigated when a two-qubit Heisenberg XXX model with Dzyaloshinski-Moriya (DM) interaction is used as the quantum channel. We find that thermal entanglement and teleportation fidelity decrease with the acceleration parameter or temperature, in other words, the entanglement teleportation of a teleported state will degenerate in non-inertial frames. Furthermore, our results also show that the average fidelity may be promoted by DM interaction for the ferromagnetic case, which is opposite to the antiferromagnetic case in non-inertial frames, although diminished by acceleration parameter, and their influence can be counteracted.
We investigate the characteristics of entanglement teleportation of a two-qubit Heisenberg XYZ model under different Dzyaloshinskii-Moriya interaction with intrinsic decoherence taken into account. The comparison of the two different Dzyaloshinskii-Moriya interaction, the effects of the initial state and the inputting state on the entanglement teleportation are presented. The results reveal that the dynamics of entanglement is a symmetry function about for the system, whereas it is not for the system. The ferromagnetic case is superior to the antiferromagnetic case for restrain decoherence when using the system. The dependence of entanglement, output entanglement, fidelity on initial state angle all demonstrate periodic. Moreover, we find that seemingly some system are not suitable for teleportation, but they can acquire some best exhibition if we take the proper initial state and inputting state.
A fractional quantum state has created between two-qubit system by a Heisenberg XYZ model in the presence of the Dzyaloshinskii–Moriya (DM) interaction. The impact of the initial state settings and the interaction parameters on the amount of the quantum correlation is discussed. We used the concurrence and local quantum uncertainty to quantify these correlations. It is shown that, both quantifiers increase suddenly/gradually depending on the order of the fractional state, and whether the system is ferromagnetic or anti-ferromagnetic. The fractional parameter may increase/ stabilized the memory of the generated fractional state. Small values of the DM interaction can maximize the initial quantum correlation of a partial entangled state. The possibility of using these fractional time-dependent states as quantum channels to perform quantum teleportation has examined. It is shown that, preparing the system in anti-ferromagnetic regime improves the fidelity of the teleported state. The strength of the DM interaction and the fractional’s order has a clear effect on the fidelity’s behavior, where they may be used as control parameters to increase the efficiency of the fractional quantum channel in the context of quantum communication.
We employ the concepts of quantum Fisher information, quantum coherence, and fidelity to study a thermally environmental effect on the teleportation process. It is assumed that a single qutrit is teleported through a thermally environmental containing a two-qutrit Heisenberg XX chain under the external magnetic field (EMF) and Dzyaloshinski Moriya (DM) interaction. The energy spectrum of the physical Hamiltonian and its eigenstates are employed to obtain the thermal density matrix, which is used as a thermal teleportation environment. The Resort to the definition of quantum Fisher information for a single qubit system, we estimate the optimal behaviour concerning the EMF and temperature. The result shows that maximizing the estimation degree depends on increasing the EMF and minimizing it requires lowering temperature. The effect of temperature and DM coupling on the quantum coherence and fidelity of the teleported state is studied. It is shown that temperature destroyed the maximum bounds of the two physical quantity, while the DM coupling delays the effect of EMF at the same periods.
This article investigates the quantum Fisher information associated with a teleported state in a Heisenberg XXX chain with the x-component of the Dzyaloshinskii-Moriya interaction. The correspondence between the output state and the fidelity of entanglement teleportation expressions was constructed utilizing physical variables associated with the selected system. Our findings suggest that temperature, the spin coupling constant JJJ, and the x-components DxD_xDx​ may all contribute to the degree of intricacy between states and, therefore, to the possibilities of teleportation protocols. Additionally, these results suggest that the states' separability needs either a high-temperature regime, strong spin-orbit coupling through the Dzyaloshinskii-Moriya interaction, or a ferromagnetic chain. Entanglement-based teleportation is improbable. The system states grow increasingly entangled even with an antiferromagnetic chain, weak spin-orbit coupling, or low temperature. As a consequence, the channel becomes entangled, making the teleportation protocol conceivable and feasible.
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.