论文标题
断开的纠缠熵是定期驱动的基塔夫链中边缘模式的标记
Disconnected entanglement entropy as a marker of edge modes in a periodically driven Kitaev chain
论文作者
论文摘要
我们研究了基塔夫链的断开纠缠熵（DEE），在该链中，在Floquet理论的框架内，定期使用$δ$功能脉冲调节化学电位。对于此驾驶协议，一个足够大的系统的迪伊（Dee）具有开放边界条件的范围，而整数则相当于定期驾驶所产生的链的每个边缘的Majorana边缘模式的数量，从而确立了Dee作为检测Floquet Majoraana Edge模式的标记。分析DEE时，我们进一步表明，这些Majorana边缘模式对弱空间障碍和时间噪声具有鲁棒性。有趣的是，我们发现DEE在某些情况下可能还可以检测到可以通过定期驾驶最近的邻居跳跃产生的异常边缘模式，即使这种模式没有拓扑意义，并且对空间疾病不强大。我们还在实验实现的集成性破坏相互作用的情况下，还探究了DEE对踢链链的行为。
We study the disconnected entanglement entropy (DEE) of a Kitaev chain in which the chemical potential is periodically modulated with $δ$-function pulses within the framework of Floquet theory. For this driving protocol, the DEE of a sufficiently large system with open boundary conditions turns out to be integer-quantized, with the integer being equal to the number of Majorana edge modes localized at each edge of the chain generated by the periodic driving, thereby establishing the DEE as a marker for detecting Floquet Majorana edge modes. Analysing the DEE, we further show that these Majorana edge modes are robust against weak spatial disorder and temporal noise. Interestingly, we find that the DEE may, in some cases, also detect the anomalous edge modes which can be generated by periodic driving of the nearest-neighbor hopping, even though such modes have no topological significance and not robust against spatial disorder. We also probe the behaviour of the DEE for a kicked Ising chain in the presence of an integrability breaking interaction which has been experimentally realized.
