论文标题

旋转动力学和分数量子状态运输 - $ \ frac {1} {2} $ triangular Plaquette

Entanglement dynamics and fractional quantum state transport in the spin-$\frac{1}{2}$ triangular plaquette

论文作者

Motamedifar, Mostafa

论文摘要

量子状态传播省(QST)内研究领域的急剧增长正在迅速加速。可以通过考虑其纠缠内容的动态行为来实现了解QST过程的重要见解。连续传递量子状态的一种公认的方法是利用自旋结构。从纠缠繁殖的角度来看,我们披露了分数QST可能性的签名。在目前的工作中,我们提出了一种旋转形式-U \ frac {1} {2} $三角形plaquette,其汉密尔顿的汉密尔顿需要在梯级上旋转轨道耦合,并在腿上交换交流。这样一个系统的特征是QST的时机以离散的方式出现,从而使与这些时刻相关的交换相互作用的价值表现为分类。重要的是,发现对于磁相互作用的特殊值,QST具有奇异性,即禁止纠缠的传播。此外,该系统的有限尺寸性质使我们可以阅读时间结晶度和对称性破裂之间的联系。我们对时间晶体对称性及其破坏的知识的发展有助于我们了解这种现象的定义概念和基本物理。

The dramatic growth of research areas within the province of quantum state transmission (QST) is rapidly accelerating. An important insight to understand the process of QST can be fulfilled by considering the dynamical behavior of its entanglement content. One well-established approach to continuously transfer quantum states is utilizing spin structures. Here, from the view of entanglement propagation, we disclose the signature of fractional QST possibilities. In the present work, we proposed a form of spin-$\frac{1}{2}$ triangular plaquette whose Hamiltonian entails the spin-orbit coupling on the rungs and exchange interaction over the legs. The feature of such a system is that the time instants of QST emerge in a discrete fashion, thereby the values of exchange interactions associated with these moments behave fractionally. Importantly, it is found that for special values of magnetic interaction, QST has singularity i.e., the entanglement propagation is forbidden. In addition, the finite-size nature of this system makes it possible for us to read the nexus between time crystallinity and symmetry breaking. The development of our knowledge about time crystalline symmetry and its breaking helps us to understand the defined concept and fundamental physics of this phenomenon.

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