Tripartite Entanglement In Mixed-Spin Triangle Trimer

Zhirayr Adamyan, Vadim Ohanyan
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Abstract

Heisenberg model spin systems offer favorable and manageable physical settings for generating and manipulating entangled quantum states. In this work mixed spin-(1/2,1/2,1) Heisenberg spin trimer with two different but isotropic Lande g-factors and two different exchange constants is considered. The study undertakes the task of finding the optimal parameters to create entangled states and control them by external magnetic field. The primary objective of this work is to examine the tripartite entanglement of a system and the dependence of the tripartite entanglement on various system parameters. Particularly, the effects of non-conserving magnetization are in the focus of our research. The source of non-commutativity between the magnetic moment operator and the Hamiltonian is the non-uniformity of g-factors. To quantify the tripartite entanglement, an entanglement measure called "tripartite negativity" has been used in this work.
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混合旋片三角形三聚体中的三方纠缠
海森堡模型自旋系统为产生和操纵纠缠量子态提供了有利和可控的物理环境。本研究考虑了具有两个不同但各向同性的兰德 g 因子和两个不同交换常数的混合自旋(1/2,1/2,1)海森堡自旋三聚体。这项研究的任务是找到创建纠缠态并通过外部磁场控制它们的最佳参数。这项工作的主要目的是研究系统的三方纠缠以及三方纠缠对各种系统参数的依赖性。磁矩算子与哈密顿之间的非共通性来源于 g 因子的不均匀性。为了量化三方纠缠,本文使用了一种名为 "三方负性 "的纠缠度量。
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