边Majorana费米子量子比特的普适二时间关联、超时序关联函数和Leggett-Garg不等式破坏
Universal two-time correlations, out-of-time-ordered correlators and Leggett-Garg inequality violation by edge Majorana fermion qubits
摘要：
在目前的工作中，我们提出的两个时间相关的马约拉纳边缘本地化费米子构成了一个新颖的和多功能的工具箱，用于评估的拓扑相位的1D开格。使用Kitaev模型的分析和数值计算，我们揭示了短时相关性衰减与特定的非时间有序关联函数族之间的普遍关系，这为系统状态的定量分析提供了直接的实验替代方案，无论是正常的还是拓扑的。进一步证明了两次相关的饱和具有序参量的特征。最后，我们发现，违反Leggett-Garg不等式可以指示拓扑正常的相变通过查看由配对的本地和非本地边缘马约拉纳费米子形成的不同的量子比特。
英文摘要：
In the present work we propose that two-time correlations of Majorana edge localized fermions constitute a novel and versatile toolbox for assessing the topological phases of 1D open lattices. Using analytical and numerical calculations on the Kitaev model, we uncover universal relationships between the decay of the short-time correlations and a particular family of out-of-time-ordered correlators, which provide direct experimental alternatives to the quantitative analysis of the system regime, either normal or topological. Furthermore we show that the saturation of two-time correlations possesses features of an order parameter. Finally, we find that violations of Leggett-Garg inequalities can indicate the topological-normal phase transition by looking at different qubits formed by pairing local and non-local edge Majorana fermions.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
