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Entanglement dynamics and fractional quantum state transport in the spin-12 triangular plaquette
Physica A: Statistical Mechanics and its Applications ( IF 3.3 ) Pub Date : 2021-01-08 , DOI: 10.1016/j.physa.2021.125745
Mostafa Motamedifar

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-12 triangular plaquette whose Hamiltonian entails Heisenberg interaction on the legs and Dzyaloshinskii–Moriya type of coupling over the rungs. 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 for such values. 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.



中文翻译:

自旋能级中的纠缠动力学和分数量子态输运1个2 三角板

量子态传输(QST)省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获得了解QST过程的重要见解。一种完善的连续转移量子态的方法是利用自旋结构。在这里,从纠缠传播的角度,我们公开了分数QST可能性的特征。在目前的工作中,我们提出了一种自旋形式1个2三角形的球拍,其哈密顿量引起腿部与海森堡的相互作用,梯级上的Dzyaloshinskii–Moriya型耦合。这种系统的特征在于,QST的时刻以离散的方式出现,因此与这些时刻关联的交换交互作用的值表现为分数变化。重要的是,发现对于特殊的磁相互作用值,QST具有奇异性,即对于这些值,纠缠传播被禁止。另外,该系统的有限大小性质使我们有可能阅读时间结晶度和对称破坏之间的联系。我们对时间晶体对称性及其破裂的认识的发展,有助于我们理解该现象的定义概念和基本物理学。

更新日期:2021-01-13
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