Dynamics of the entanglement and teleportation of thermal state of a spin chain with multiple interactions

Ahmad Redwan; Abdel-Haleem Abdel-Aty; Nour Zidan; Tarek El-Shahat

doi:10.1063/1.5085784

Dynamics of the entanglement and teleportation of thermal state of a spin chain with multiple interactions

Chaos. 2019 Jan;29(1):013138. doi: 10.1063/1.5085784.

Authors

Ahmad Redwan¹, Abdel-Haleem Abdel-Aty², Nour Zidan³, Tarek El-Shahat¹

Affiliations

¹ Mathematics Department, Faculty of Science, Al-Azhar University, 71524 Assiut, Egypt.
² Department of Physics, College of Sciences, University of Bisha, P.O. Box 344, Bisha 61922, Saudi Arabia.
³ Mathematics Department, College of Science, Jouf University, Sakaka, Saudi Arabia.

PMID: 30709138
DOI: 10.1063/1.5085784

Abstract

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 (D_z) 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 (D_z) 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.