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 neighbors 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.

中文翻译：

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XOR-Fredrickson-Andersen动力学约束模型的动力学和大偏差跃迁

我们研究了一维经典随机动力学约束模型（KCM），该模型受Rydberg原子在其“促进”状态下的启发，其中只有当其最近的邻居中的一个被激发时，位点才能翻转。我们将此模型称为“ XOR-FA”，以区别于标准的Fredrickson-Andersen（FA）模型。我们描述了XOR-FA模型的动力学，包括其在域壁表示中与简单排除过程的关系。与其他KCM一样，XOR-FA有趣的弛豫动力学与大的动态波动的突出有关，大的动态波动导致有功和无功动力相之间发生相变。通过数值张量网络方法，我们详细研究了动态大偏差状态下的这种转变。