论文标题
三角梯结构上的四个旋转1/2颗粒系统中基于并发的纠缠的精确动力学
Exact dynamics of concurrence-based entanglement in a system of four spin-1/2 particles on a triangular ladder structure
论文作者
论文摘要
由于三角形旋转梯子实施量子信息处理的能力,我们提出了一种类型的系统,其汉密尔顿人在Rungs上包括XX Heisenberg的互动和Dzyaloshinskiimoriya(DM)耦合在腿上。在这项工作中,我们讨论如何调整三角梯的纳米磁细胞的元素之间的磁相互作用,该梯子包含四个量子位对系统对之间共享的纠缠的动力学行为的影响。在这项工作中,我们利用并发来监视纠缠。人们意识到,当系统随时间而单位演变时,量子W状态的产生是本模型的重要特征。通常,与W个州的出现巧合,所有对的并发都等于$ n/2 $,其中n是系统量子的数量。我们还获得了此类状态的发生率与DM相互作用的价值以及纠缠转移时间之间的精确关系。最后,通过研究不同自旋变量的两点量子相关性和期望值,我们发现XX和YY相关性使W态的纠缠达到了最大值,而对于这些状态,任何对之间的ZZ相关性完全淬灭。我们的结果表明,尽管$ s^{tot} _ {z} $与系统的哈密顿量没有通勤,但其期望值在时间演变期间保持恒定,这是量子W状态的通用属性。
Motivated by the ability of triangular spin ladders to implement quantum information processing, we propose a type of such systems whose Hamiltonian includes the XX Heisenberg interaction on the rungs and DzyaloshinskiiMoriya (DM) coupling over the legs. In this work, we discuss how tuning the magnetic interactions between elements of a nanomagnetic cell of a triangular ladder which contains four qubits influences on the dynamical behavior of entanglement shared between any pairs of the system. In this work, we make use of concurrence for monitoring entanglement. It is realized that the generation of quantum W states is an important feature of the present model when the system evolves unitarily with time. In general, coincidence with the emergence of W states, the concurrences of all pairs are equal to $N/2$, where N is the number of system's qubits. We also obtain the precise relationship between the incidence of such states and the value of DM interaction as well as the time of entanglement transfer. Finally, by studying the two-point quantum correlations and expectation values of different spin variables, we find that xx and yy correlations bring the entanglement to a maximum value for W states, whereas for these states, zz correlation between any pairs completely quenches. Our results reveal that although $S^{tot}_{z}$ does not commute with the system's Hamiltonian, its expectation value remains constant during time evolution which is a generic property of quantum W states.