Laser & Optoelectronics Progress, Volume. 56, Issue 24, 242701(2019)
Influences of Anisotropy and Spin Coupling Parameters on Quantum Entanglement of Heisenberg XYZ Chain
Herein, we study the Heisenberg two-qubit XYZ chain in a z -directional non-uniform magnetic field by considering concurrence to be the entanglement metric. Further, we explore the properties of ground-state entanglement in different parameter ranges, calculate the critical magnetic field value, and discuss the relations between the average/critical magnetic fields and the quantum phase transition. We also analyze the interaction of the two adjacent qubits of the z -component J z of the spin and investigate the influences of the anisotropy parameters γ B and γ J on the thermal entanglement of the Heisenberg model. The relations among the anisotropy, coupling parameter J z , and thermal entanglement can be better illustrated by drawing images. The results denote that in a two-qubit system at an effective temperature T , the critical magnetic field Bc decreases and the entanglement gradually disappears as γ J increases when the coupling parameter J z is equal to 0. However, when the coupling parameter J z is greater than 0, the ranges of magnetic field and temperature with the maximum degree of entanglement increase with increasing J z for appropriate values of the anisotropy parameters γ B and γ J , effectively enhancing the entanglement.
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Qixiong Mu, Jing Yang, Dandan Luo, Chuanjia Shan, Xinhua Peng, Yanxia Huang. Influences of Anisotropy and Spin Coupling Parameters on Quantum Entanglement of Heisenberg XYZ Chain[J]. Laser & Optoelectronics Progress, 2019, 56(24): 242701
Category: Quantum Optics
Received: May. 8, 2019
Accepted: Jun. 6, 2019
Published Online: Nov. 26, 2019
The Author Email: Huang Yanxia (huangyx617@163.com)