Thermal quantum correlations in a two-qubit Heisenberg XXZ spin- 1 2 chain under an inhomogeneous magnetic field

• Published in: Physica scripta Vol. 94; no. 12
• Main Authors: Khedif, Youssef, Daoud, Mohammed, Sayouty, El Hassan
• Format: Journal Article
• Language: English
• Published: IOP Publishing 23.09.2019
• Subjects: Heisenberg spin chain; local quantum uncertainty; thermal nonclassical correlations; trace distance discord
• ISSN: 0031-8949; 1402-4896
• DOI: 10.1088/1402-4896/ab34de

The thermal quantum correlations in a two-qubit one-dimensional XXZ Heisenberg spin- 1 2 chain subjected to an inhomogeneous magnetic field are investigated. The concurrence, as thermal entanglement quantifier, and the discord-like quantifiers, namely the trace distance discord and local quantum uncertainty, are computed. Their dependence on the anisotropy parameter γ, uniform magnetic field B, coupling constant J and nonuniform magnetic field b are presented in detail. The mentioned quantifiers behaviors in terms of this parameters are compared and discussed. The results show that TDD is always much stronger than the concurrence and LQU, whereas the latter two show a swinging behavior depending on system parameters. Also, we have shown that the nonuniform magnetic field can reduce the effects of temperature on thermal correlations. Furthermore, the thermal correlations, for fixed values of b, can be enhanced in the antiferromagnetic system in comparison to the ferromagnetic one. In addition, the quantum correlations amounts in the ferromagnetic system are deteriorated when γ decreases, but they are improved when the system is antiferromagnetic.