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Effect of spin-orbit interaction on entanglement of two-qubit HeisenbergXYZsystems in an inhomogeneous magnetic field

2008/01/12 by Fardin Kheirandish, Seyed Javad Akhtarshenas, S. Javad Akhtarshenas +1
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum and electron transport phenomena #quant-ph

paper · pdf · doi:10.1103/physreva.77.042309

published as Phys. Rev. A 042309 (2008) · Two columns, 9 pages, 8 Figs

arxiv created 2008/01/12 · openalex publication_date 2008/04/14 · arxiv updated 2012/07/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The role of spin-orbit interaction in the ground state and thermal entanglement of a Heisenberg XYZ two-qubit system in the presence of an inhomogeneous magnetic field is investigated. We show that the ground state entanglement tends to vanish suddenly for a certain value of the spin-orbit parameter D and, when D crosses its critical value Dc, the entanglement undergoes a revival. Indeed, when D crosses its critical value (Dc), the ground state entanglement tends to its maximum value (C=1). Also, at finite temperatures there are revival regions in the D\text\ensuremath-T plane. In these regions, entanglement first increases with increasing temperature and then decreases and ultimately vanishes for temperatures above a critical value. We find that this critical temperature is an increasing function of D and that the amount of entanglement in the revival region depends on the spin-orbit parameter. Therefore when spin-orbit interaction is included larger thermal entanglement can exist at higher temperatures. We also show that the rate of enhancement of thermal entanglement by D is not the same for ferromagnetic (Jz<0) and antiferromagnatic (Jz>0) chains. The entanglement teleportation via the quantum channel constructed by the above system is also investigated, and the influence of the spin-orbit interaction on the fidelity of teleportation and entanglement of replica states is studied. We show that, by introducing spin-orbit interaction, the entanglement of the replica state and fidelity of teleportation can be increased for the case of Jz<0. We also argue that a minimal entanglement of the channel is required to realize efficient entanglement teleportation and, in the case of Jz<0, this minimal entanglement can be achieved by introducing spin-orbit interaction.

Citations