论文标题
使用自旋旋转相关性研究多体定位在交换耦合的电子旋转尺度中
Studying many-body localization in exchange-coupled electron spin qubits using spin-spin correlations
论文作者
论文摘要
我们表明，在存在交换和磁性噪声的情况下，可以在有限的交换耦合旋转矩形链中观察到多体定位（MBL）效应，该系统已在半导体中实验实现，并且是潜在的固态量子计算平台。除了确定的MBL测量，水平间距比和纠缠熵外，我们提出了另一个数量，即自旋旋转相关函数，可以通过实验进行测量，并且特别适合基于半导体的基于半导体的电子自旋量子Qubit系统。我们表明，如果已建立的度量检测为DELACALIDER“阶段”，则自旋旋转相关函数不保留对系统初始状态的记忆（即，长期值显着偏离初始值，但在确定为局部“阶段”的情况下，它们确实保留了记忆。我们还发现了一个有趣的违反直觉结果，即在小型系统中的电荷噪声增加（$ 3 $ - $ 10 $ spins）中没有明显的本地化趋势。在现有的半导体旋转量子置量置量系统中，提出的实验应该是可行的。
We show that many-body localization (MBL) effects can be observed in a finite chain of exchange-coupled spin qubits in the presence of both exchange and magnetic noise, a system that has been experimentally realized in semiconductors and is a potential solid-state quantum computing platform. In addition to established measures of MBL, the level spacing ratio and the entanglement entropy, we propose another quantity, the spin-spin correlation function, that can be measured experimentally and is particularly well-suited to experiments in semiconductor-based electron spin qubit systems. We show that, in cases that the established measures detect as delocalized "phases", the spin-spin correlation functions retain no memory of the system's initial state (i.e., the long-time value deviates significantly from the initial value), but that they do retain memory in cases that the established measures detect as localized "phases". We also discover an interesting counterintuitive result that there is no clear tendency towards localization with increasing charge noise in small systems ($3$--$10$ spins). The proposed experiments should be feasible in the existing semiconductor spin qubit systems.
