论文标题
分形式流体动力学
Fracton hydrodynamics
论文作者
论文摘要
我们引入了新的流体力学理论，灵感来自最近发现的量子物质的分布阶段。分裂阶段的特征是基本激发（分区）具有限制的迁移率。我们引入的流体动力学理论描述了具有类似分裂的迁移率限制的系统中的热化，包括电荷和偶极矩均在本地保守的流体，以及沿晶格的每条线或平面保守电荷的流体。这些流体中的每一个都是宽阔的，构成了流体动力行为的新普遍性类别。有许多这样的阶级，每个类别都有独特的副指数，所有这些指数都被我们的形式主义所捕获。我们的框架自然地解释了有关动力学的最新结果，量子电路有限，以及在倾斜光学晶格中使用超电原子进行的最新实验。我们确定了这些新型流体动力学的清晰实验特征，并解释了如何在近期超级原子实验中实现它们。
We introduce new classes of hydrodynamic theories inspired by the recently discovered fracton phases of quantum matter. Fracton phases are characterized by elementary excitations (fractons) with restricted mobility. The hydrodynamic theories we introduce describe thermalization in systems with fracton-like mobility constraints, including fluids where charge and dipole moment are both locally conserved, and fluids where charge is conserved along every line or plane of a lattice. Each of these fluids is subdiffusive, and constitutes a new universality class of hydrodynamic behavior. There are infinitely many such classes, each with distinct subdiffusive exponents, all of which are captured by our formalism. Our framework naturally explains recent results on dynamics with constrained quantum circuits, as well as recent experiments with ultracold atoms in tilted optical lattices. We identify crisp experimental signatures of these novel hydrodynamics, and explain how they may be realized in near term ultracold atom experiments.
