论文标题
在浮雕横向旋转系统中的超级相关性和相结构的检测
Out-of-time-order correlation and detection of phase structure in Floquet transverse Ising spin system
论文作者
论文摘要
我们研究了浮雕横向iSing模型的耗阶阶段相关性(OTOC),并使用它来验证系统的相图。首先,我们使用Jorden-Wigner Transformation提出了横向磁化OTOC的精确分析解。我们计算相关传播的速度,并分析复兴时间的行为,并在观测值之间进行分离。为了获取Floquet Transerse Ising系统的相结构,我们使用纵向磁化OTOC,因为它被称为系统的顺序参数。我们通过使用纵向磁化OTOC的长时间平均值在横向IS的Floquet系统中数字结构显示。在开放式链系统和封闭的链系统中,我们发现了不同的阶段,其中两个是顺磁(0- paramagnetic和$π$ -Paramagnetic),而两个是铁磁性(0- ferromagnetic和$π$ -Ferromagnetic),如文献所述。
We study the out-of-time-order correlation (OTOC) of the Floquet transverse Ising model and use it to verify the phase diagram of the system. First, we present the exact analytical solution of the transverse magnetization OTOC using the Jorden-Wigner transformation. We calculate the speed of correlation propagation and analyze the behavior of the revival time with the separation between the observables. In order to get the phase structure of the Floquet transverse Ising system, we use the longitudinal magnetization OTOC as it is known to serve as an order parameter of the system. We show the phase structure numerically in the transverse Ising Floquet system by using the long time average of the longitudinal magnetization OTOC. In both the open and the closed chain systems, we find distinct phases out of which two are paramagnetic (0-paramagnetic and $π$-paramagnetic), and two are ferromagnetic (0-ferromagnetic and $π$-ferromagnetic) as defined in the literature.