Zahia Ahmed A, Abd-Rabbou M Y, Megahed Ahmed M, Obada A-S F
Department of Mathematics, Faculty of Science, Benha University, Benha, Egypt.
Mathematics Department, Faculty of Science, Al-Azhar University, Nasr City, Cairo, 11884, Egypt.
Sci Rep. 2023 Sep 11;13(1):14943. doi: 10.1038/s41598-023-41907-7.
This paper investigates the cavity-magnon steering and qubit-qubit steering of a hybrid quantum system consisting of a single-mode magnon, a two-qubit state, and a single-mode cavity field in the presence of their damping rates. The temporal wave vector of the system is obtained for the initial maximally entangled two-qubit state and initial vacuum state of the magnon and cavity modes. Additionally, the mathematical inequalities for obtaining the cavity-magnon steering and qubit-qubit steering are introduced. The findings reveal that steering between the magnon and cavity is asymmetric, while steering between the two qubits is symmetric in our system. Increasing the atom-field coupling improves steering from magnon to field, while reducing steering between the two qubits. Moreover, increasing magnon-field coupling enhances and elevates the lower bounds of qubit-qubit steering. Further, adding the damping rates causes deterioration of the cavity-magnon steering and qubit-qubit steering. However, the steering persistence is slightly greater when damping originates from the cavity field rather than the magnon modes based on the coupling parameters.
本文研究了一个由单模磁振子、两比特态和单模腔场组成的混合量子系统在存在阻尼率情况下的腔-磁振子操控和比特-比特操控。针对磁振子和腔模的初始最大纠缠两比特态以及初始真空态，得到了系统的时间波矢。此外，还引入了用于获得腔-磁振子操控和比特-比特操控的数学不等式。研究结果表明，在我们的系统中，磁振子和腔之间的操控是不对称的，而两个比特之间的操控是对称的。增加原子-场耦合会改善从磁振子到场的操控，同时减少两个比特之间的操控。此外，增加磁振子-场耦合会增强并提高比特-比特操控的下限。进一步地，加入阻尼率会导致腔-磁振子操控和比特-比特操控的恶化。然而，基于耦合参数，当阻尼源于腔场而非磁振子模时，操控的持续性会稍强一些。
