论文标题
在偶极连接系统中的动力学约束冻结过渡
Kinetically constrained freezing transition in a dipole-conserving system
论文作者
论文摘要
我们研究了一个颗粒的随机晶格气体，其中具有严格的有限范围相互作用，尊重总电荷和偶极矩的类似分裂的保护定律。随着电荷密度的变化，动力学下的系统电荷配置的连接性在定性上变化。我们发现两个不同的阶段：接近一半，填充系统的一半对细节进行热效应，几乎所有配置都属于单个动态连接的扇区。当电荷密度从半填充的一半填充时，有一个相变为冷冻相，该相位有限的气泡无法交换颗粒，并且系统无法热化。这两个阶段的例证分别被称为弱和强的希尔伯特空间碎片。我们研究了动力学约束的经典马尔可夫电路模型中这种弱到碎片段过渡的静态和动态缩放特性，从而获得了一些猜想的精确关键指数。
We study a stochastic lattice gas of particles in one dimension with strictly finite-range interactions that respect the fracton-like conservation laws of total charge and dipole moment. As the charge density is varied, the connectivity of the system's charge configurations under the dynamics changes qualitatively. We find two distinct phases: Near half filling the system thermalizes subdiffusively, with almost all configurations belonging to a single dynamically connected sector. As the charge density is tuned away from half filling there is a phase transition to a frozen phase where locally active finite bubbles cannot exchange particles and the system fails to thermalize. The two phases exemplify what has recently been referred to as weak and strong Hilbert space fragmentation, respectively. We study the static and dynamic scaling properties of this weak-to-strong fragmentation phase transition in a kinetically constrained classical Markov circuit model, obtaining some conjectured exact critical exponents.
