论文标题
Xor-Fredrickson-Andersen动力学和大偏差过渡动力学模型
Dynamics and large deviation transitions of the XOR-Fredrickson-Andersen kinetically constrained model
论文作者
论文摘要
我们研究了受Rydberg Atoms在其“促进”制度中灵感启发的一维经典动力学模型（KCM），只有当他们最近的邻居中的一个邻居感到兴奋时，站点才能翻转。我们将此模型称为“ XOR-FA”，以将其与标准的Fredrickson-Andersen（FA）模型区分开。我们描述了XOR-FA模型的动力学，包括其与域壁表示中简单排除过程的关系。 XOR-FA的有趣的松弛动力学与大型动力学波动的突出相关，这些动力学波动导致了与其他KCM一样，导致主动动力学阶段之间的相变。通过数值张量网络方法，我们详细研究了动态大偏差方案中的这种过渡。
We study a one-dimensional classical stochastic kinetically constrained model (KCM) inspired by Rydberg atoms in their "facilitated" regime, where sites can flip only if a single of their nearest neighbours is excited. We call this model "XOR-FA" to distinguish it from the standard Fredrickson-Andersen (FA) model. We describe the dynamics of the XOR-FA model, including its relation to simple exclusion processes in its domain wall representation. The interesting relaxation dynamics of the XOR-FA is related to the prominence of large dynamical fluctuations that lead to phase transitions between active and inactive dynamical phases as in other KCMs. By means of numerical tensor network methods we study in detail such transitions in the dynamical large deviation regime.
