论文标题
放松订单参数统计和动态限制
Relaxation of the order-parameter statistics and dynamical confinement
论文作者
论文摘要
我们研究了具有纵向和横向成分的倾斜场中量子链链中局部铁磁顺序的松弛。在完全极化状态准备系统后，我们分析了$ \ ell $ spins块内磁化的整个概率分布函数（PDF）的时间演变。我们首先分析了限制对PDF对大型$ \ ell $的高卢的影响，这表明当纵向场与初始磁性对齐时，当它在相反方向时加速时，初始顺序的熔化被抑制。然后我们研究热动力学。在顺磁区域，PDF迅速显示了热特征。相反，在铁磁相中，当发生限制时，弛豫会遭受典型的放慢速度，这取决于纵向场的强度，激发的密度和初始极化的方向之间的相互作用。即使初始磁化与纵向场相反对齐，限制也会阻止可访问时间表的热量，因为它被PDF巧妙地禁止。
We study the relaxation of the local ferromagnetic order in the quantum Ising chain in a slant field with both longitudinal and transverse components. After preparing the system in a fully polarised state, we analyse the time evolution of the entire probability distribution function (PDF) of the magnetisation within a block of $\ell$ spins. We first analyse the effect of confinement on the gaussification of the PDF for large $\ell$, showing that the melting of initial order is suppressed when the longitudinal field is aligned to initial magnetisation while it is sped up when it is in the opposite direction. Then we study the thermalisation dynamics. In the paramagnetic region, the PDF quickly shows thermal features. Conversely, in the ferromagnetic phase, when confinement takes place, the relaxation suffers a typical slowing down which depends on the interplay between the strength of the longitudinal field, the density of excitations, and the direction of the initial polarisation. Even when the initial magnetisation is aligned oppositely to the longitudinal field, confinement prevents thermalisation in the accessible timescale, as it is neatly bared by the PDF.
