Dynamical characteristic of measurement uncertainty under Heisenberg spin models with Dzyaloshinskii-Moriya interactions
Dynamical characteristic of measurement uncertainty under Heisenberg spin models with Dzyaloshinskii-Moriya interactions
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Dzyaloshinskii-Moriya 相互作用海森堡自旋模型下测量不确定度的动态特性
DOI：
10.1007/s11467-018-0880-1
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发表时间：
2019
影响因子：
7.5
通讯作者：
Ye Liu
中科院分区：
文献类型：
--
作者：
Yang Ying Yue;Sun Wen Yang;Shi Wei Nan;Ming Fei;Wang Dong;Ye Liu
研究了在非均匀磁场和Dzyaloshinskiii-Moriya（DM）相互作用下一维HeisenbergXYZ模测量不确定度的熵动力学.结果表明，感兴趣的不确定性与场的温度、定向耦合强度和磁场密切相关。事实证明，较强的耦合强度和较小的磁场将在当前自旋模型中引起较小的测量不确定度。有趣的是，我们发现，在反铁磁（Ji> 0）和铁磁（Ji< 0）框架中的不确定性的演化表现出相当不同的动力学行为。此外，一个与系统纠缠有关的解析解（即，在这种情况下，也会产生并发）。此外，它被发现，DM相互作用是理想的工作，以减少在高温区域的测量的不确定性的大小。最后，我们提出了一种有效的策略，通过利用量子弱测量来控制基于熵的不确定性，这对基于固态的量子信息处理和计算中的量子测量估计具有根本的重要性。
The dynamics of measurement’s uncertainty via entropy for a one-dimensional HeisenbergXYZmode is examined in the presence of an inhomogeneous magnetic field and Dzyaloshinskii–Moriya (DM) interaction. It shows that the uncertainty of interest is intensively in connection with the filed’s temperature, the direction-oriented coupling strengths and the magnetic field. It turns out that the stronger coupling strengths and the smaller magnetic field would induce the smaller measurement’s uncertainty of interest within the current spin model. Interestingly, we reveal that the evolution of the uncertainty exhibits quite different dynamical behaviors in antiferromagnetic (Ji> 0) and ferromagnetic (Ji< 0) frames. Besides, an analytical solution related to the systematic entanglement (i.e., concurrence) is also derived in such a scenario. Furthermore, it is found that the DM-interaction is desirably working to diminish the magnitude of the measurement’s uncertainty in the region of high-temperature. Finally, we remarkably offer a resultful strategy to govern the entropy-based uncertainty through utilizing quantum weak measurements, being of fundamentally importance to quantum measurement estimation in the context of solid-state-based quantum information processing and computation.