论文标题
纠结相关性，域尺寸分布和量子链中的kibble-zurek淬灭之后的空虚概率
Kink correlations, domain size distribution, and the emptiness formation probability after the Kibble-Zurek quench in the quantum Ising chain
论文作者
论文摘要
横向场的线性淬灭将量子链从顺磁性驱动到铁磁相的量子临界点。我们专注于典型的纠结和歼灭操作员之间的正常和异常的二次相关因子。它们不仅取决于kibble-zurek（kz）相关长度，而且还取决于长度尺度，这与对数校正不同。在铁磁相中，坡道的额外减速进一步增加了长度并抑制异常相关器。二次相关器输入PFAFFIAN，这些PFAFFIAN会产生实验相关的扭结相关函数，铁磁域大小的概率分布，以及密切相关的空虚形成概率。后者采用块toeplitz基质的pfaffian的形式，该基质允许进行一些分析渐近线。最后，我们通过将其解释为以其配对波函数为特征的费米子扭结状态的配对状态，从而进一步了解坡道末端的状态结构。所有这些数量对具有不同数量的扭结数量的本征态之间的量子相干性敏感，从而使其成为量子模拟器平台量子性的方便探针。
Linear quench of the transverse field drives the quantum Ising chain across a quantum critical point from the paramagnetic to the ferromagnetic phase. We focus on normal and anomalous quadratic correlators between fermionic kink creation and annihilation operators. They depend not only on the Kibble-Zurek (KZ) correlation length but also on a dephasing length scale, which differs from the KZ length by a logarithmic correction. Additional slowing down of the ramp in the ferromagnetic phase further increases the dephasing length and suppresses the anomalous correlator. The quadratic correlators enter Pfaffians that yield experimentally relevant kink correlation functions, the probability distribution of ferromagnetic domain sizes, and, closely related, emptiness formation probability. The latter takes the form of a Pfaffian of a block Toeplitz matrix that allows for some analytic asymptotes. Finally, we obtain further insight into the structure of the state at the end of the ramp by interpreting it as a paired state of fermionic kinks characterized by its pair wave function. All those quantities are sensitive to quantum coherence between eigenstates with different numbers of kinks, thus making them a convenient probe of the quantumness of a quantum simulator platform.
